diff --git a/library/ssl_tls13_generic.c b/library/ssl_tls13_generic.c
index 24a3d9d..f47faca 100644
--- a/library/ssl_tls13_generic.c
+++ b/library/ssl_tls13_generic.c
@@ -732,24 +732,6 @@
     /*
      * Secondary checks: always done, but change 'ret' only if it was 0
      */
-
-#if defined(MBEDTLS_ECP_C)
-    {
-        const mbedtls_pk_context *pk = &ssl->session_negotiate->peer_cert->pk;
-
-        /* If certificate uses an EC key, make sure the curve is OK */
-        if( mbedtls_pk_can_do( pk, MBEDTLS_PK_ECKEY ) &&
-            mbedtls_ssl_check_curve( ssl, mbedtls_pk_ec( *pk )->grp.id ) != 0 )
-        {
-            verify_result |= MBEDTLS_X509_BADCERT_BAD_KEY;
-
-            MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad certificate ( EC key curve )" ) );
-            if( ret == 0 )
-                ret = MBEDTLS_ERR_SSL_BAD_CERTIFICATE;
-        }
-    }
-#endif /* MBEDTLS_ECP_C */
-
     if( mbedtls_ssl_check_cert_usage( ssl->session_negotiate->peer_cert,
                                       ssl->handshake->ciphersuite_info,
                                       !ssl->conf->endpoint,
diff --git a/tests/opt-testcases/tls13-compat.sh b/tests/opt-testcases/tls13-compat.sh
index f5989ba..fa7663b 100755
--- a/tests/opt-testcases/tls13-compat.sh
+++ b/tests/opt-testcases/tls13-compat.sh
@@ -20,7 +20,7 @@
 # Purpose
 #
 # List TLS1.3 compat test cases. They are generated by
-# `generate_tls13_compat_tests.py -a`.
+# `./tests/scripts/generate_tls13_compat_tests.py -a -o tests/opt-testcases/tls13-compat.sh`.
 #
 # PLEASE DO NOT EDIT THIS FILE. IF NEEDED, PLEASE MODIFY `generate_tls13_compat_tests.py`
 # AND REGENERATE THIS FILE.
@@ -35,10 +35,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -52,10 +53,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -64,13 +66,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -81,13 +84,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -96,13 +100,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -113,13 +118,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -128,13 +134,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -145,13 +152,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -160,13 +168,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -177,13 +186,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -192,13 +202,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -209,13 +220,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -227,10 +239,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -244,10 +257,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -256,13 +270,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -273,13 +288,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -288,13 +304,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -305,13 +322,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -320,13 +338,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -337,13 +356,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -352,13 +372,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -369,13 +390,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -384,13 +406,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -401,13 +424,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -419,10 +443,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -436,10 +461,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -448,13 +474,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -465,13 +492,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -480,13 +508,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_GCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -497,13 +526,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_GCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-GCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -516,10 +546,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -534,10 +565,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -550,10 +582,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -568,10 +601,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -584,10 +618,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -602,10 +637,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -618,10 +654,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -636,10 +673,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -652,10 +690,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -670,10 +709,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-GCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1301 ) - TLS1-3-AES-128-GCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -685,10 +725,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -702,10 +743,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -714,13 +756,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -731,13 +774,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP384R1:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -746,13 +790,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -763,13 +808,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP521R1:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -778,13 +824,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -795,13 +842,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X25519:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -810,13 +858,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -827,13 +876,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X448:+SHA384:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -842,13 +892,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -859,13 +910,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP256R1:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -877,10 +929,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -894,10 +947,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -906,13 +960,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -923,13 +978,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP521R1:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -938,13 +994,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -955,13 +1012,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X25519:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -970,13 +1028,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -987,13 +1046,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X448:+SHA384:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1002,13 +1062,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1019,13 +1080,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP256R1:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1034,13 +1096,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1051,13 +1114,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-SECP384R1:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1069,10 +1133,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1086,10 +1151,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1098,13 +1164,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1115,13 +1182,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X25519:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1130,13 +1198,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_256_GCM_SHA384 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1147,13 +1216,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_256_GCM_SHA384,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-256-GCM:+GROUP-X448:+SHA384:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1166,10 +1236,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1184,10 +1255,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1200,10 +1272,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1218,10 +1291,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1234,10 +1308,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1252,10 +1327,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1268,10 +1344,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1286,10 +1363,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1302,10 +1380,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1320,10 +1399,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-256-GCM-SHA384 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1302 ) - TLS1-3-AES-256-GCM-SHA384" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1335,10 +1415,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1352,10 +1433,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1364,13 +1446,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1381,13 +1464,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1396,13 +1480,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1413,13 +1498,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1428,13 +1514,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1445,13 +1532,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1460,13 +1548,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1477,13 +1566,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1492,13 +1582,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1509,13 +1600,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1527,10 +1619,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1544,10 +1637,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1556,13 +1650,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1573,13 +1668,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1588,13 +1684,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1605,13 +1702,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1620,13 +1718,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1637,13 +1736,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1652,13 +1752,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1669,13 +1770,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1684,13 +1786,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1701,13 +1804,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1719,10 +1823,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1736,10 +1841,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1748,13 +1854,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1765,13 +1872,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1780,13 +1888,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_CHACHA20_POLY1305_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1797,13 +1906,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_CHACHA20_POLY1305_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+CHACHA20-POLY1305:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1816,10 +1926,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1834,10 +1945,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1850,10 +1962,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1868,10 +1981,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1884,10 +1998,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1902,10 +2017,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1918,10 +2034,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1936,10 +2053,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1952,10 +2070,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -1970,10 +2089,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-CHACHA20-POLY1305-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1303 ) - TLS1-3-CHACHA20-POLY1305-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -1985,10 +2105,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2002,10 +2123,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2014,13 +2136,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2031,13 +2154,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2046,13 +2170,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2063,13 +2188,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2078,13 +2204,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2095,13 +2222,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2110,13 +2238,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2127,13 +2256,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2142,13 +2272,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2159,13 +2290,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2177,10 +2309,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2194,10 +2327,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2206,13 +2340,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2223,13 +2358,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2238,13 +2374,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2255,13 +2392,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2270,13 +2408,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2287,13 +2426,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2302,13 +2442,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2319,13 +2460,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2334,13 +2476,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2351,13 +2494,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2369,10 +2513,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2386,10 +2531,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2398,13 +2544,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2415,13 +2562,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2430,13 +2578,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2447,13 +2596,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2466,10 +2616,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2484,10 +2635,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2500,10 +2652,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2518,10 +2671,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2534,10 +2688,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2552,10 +2707,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2568,10 +2724,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2586,10 +2743,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2602,10 +2760,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2620,10 +2779,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1304 ) - TLS1-3-AES-128-CCM-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2635,10 +2795,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2652,10 +2813,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2664,13 +2826,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2681,13 +2844,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2696,13 +2860,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2713,13 +2878,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2728,13 +2894,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2745,13 +2912,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2760,13 +2928,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp256r1_sha256 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2777,13 +2946,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp256r1_sha256" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP256R1-SHA256:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448,secp256r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp256r1_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0403 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2792,13 +2962,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2809,13 +2980,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2827,10 +2999,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2844,10 +3017,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2856,13 +3030,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2873,13 +3048,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp521r1,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP521R1:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2888,13 +3064,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2905,13 +3082,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2920,13 +3098,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp384r1_sha384 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2937,13 +3116,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp384r1_sha384" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP384R1-SHA384:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448,secp384r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp384r1_sha384 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0503 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2952,13 +3132,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -2969,13 +3150,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp256r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP256R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -2984,13 +3166,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3001,13 +3184,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,secp384r1,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-SECP384R1:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3019,10 +3203,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3036,10 +3221,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3048,13 +3234,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3065,13 +3252,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x25519,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X25519:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3080,13 +3268,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->O: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -accept $SRV_PORT -ciphersuites TLS_AES_128_CCM_8_SHA256 -sigalgs ecdsa_secp521r1_sha512 -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3097,13 +3286,14 @@
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 run_test "TLS 1.3 m->G: TLS_AES_128_CCM_8_SHA256,x448,ecdsa_secp521r1_sha512" \
          "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --priority=NONE:+AEAD:+AES-128-CCM-8:+GROUP-X448:+SHA256:+SIGN-ECDSA-SECP521R1-SHA512:+VERS-TLS1.3:%NO_TICKETS" \
-         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448,secp521r1" \
+         "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=ecdsa_secp521r1_sha512 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0603 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3116,10 +3306,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3134,10 +3325,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp256r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp256r1 ( 17 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3150,10 +3342,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3168,10 +3361,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp384r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp384r1 ( 18 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3184,10 +3378,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3202,10 +3397,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: secp521r1" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: secp521r1 ( 19 )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3218,10 +3414,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3236,10 +3433,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x25519" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x25519 ( 1d )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_openssl_tls1_3
 requires_config_enabled MBEDTLS_DEBUG_C
@@ -3252,10 +3450,11 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
 
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
@@ -3270,7 +3469,8 @@
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca_cat12.crt force_ciphersuite=TLS1-3-AES-128-CCM-8-SHA256 sig_algs=rsa_pss_rsae_sha256 curves=x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
-         -c "ECDH curve: x448" \
          -c "server hello, chosen ciphersuite: ( 1305 ) - TLS1-3-AES-128-CCM-8-SHA256" \
          -c "Certificate Verify: Signature algorithm ( 0804 )" \
-         -c "Verifying peer X.509 certificate... ok"
+         -c "NamedGroup: x448 ( 1e )" \
+         -c "Verifying peer X.509 certificate... ok" \
+         -C "received HelloRetryRequest message"
diff --git a/tests/scripts/generate_tls13_compat_tests.py b/tests/scripts/generate_tls13_compat_tests.py
index 2e6ff72..5c429db 100755
--- a/tests/scripts/generate_tls13_compat_tests.py
+++ b/tests/scripts/generate_tls13_compat_tests.py
@@ -28,7 +28,6 @@
 import argparse
 import itertools
 from collections import namedtuple
-# pylint: disable=useless-super-delegation
 
 # define certificates configuration entry
 Certificate = namedtuple("Certificate", ['cafile', 'certfile', 'keyfile'])
@@ -71,18 +70,26 @@
     'x448': 0x1e,
 }
 
+
 class TLSProgram(metaclass=abc.ABCMeta):
     """
     Base class for generate server/client command.
     """
-
-    def __init__(self, ciphersuite, signature_algorithm, named_group, compat_mode=True):
+    # pylint: disable=too-many-arguments
+    def __init__(self, ciphersuite=None, signature_algorithm=None, named_group=None,
+                 cert_sig_alg=None, compat_mode=True):
         self._ciphers = []
         self._sig_algs = []
         self._named_groups = []
-        self.add_ciphersuites(ciphersuite)
-        self.add_named_groups(named_group)
-        self.add_signature_algorithms(signature_algorithm)
+        self._cert_sig_algs = []
+        if ciphersuite:
+            self.add_ciphersuites(ciphersuite)
+        if named_group:
+            self.add_named_groups(named_group)
+        if signature_algorithm:
+            self.add_signature_algorithms(signature_algorithm)
+        if cert_sig_alg:
+            self.add_cert_signature_algorithms(cert_sig_alg)
         self._compat_mode = compat_mode
 
     # add_ciphersuites should not override by sub class
@@ -95,18 +102,24 @@
         self._sig_algs.extend(
             [sig_alg for sig_alg in signature_algorithms if sig_alg not in self._sig_algs])
 
-    # add_signature_algorithms should not override by sub class
+    # add_named_groups should not override by sub class
     def add_named_groups(self, *named_groups):
         self._named_groups.extend(
             [named_group for named_group in named_groups if named_group not in self._named_groups])
 
+    # add_cert_signature_algorithms should not override by sub class
+    def add_cert_signature_algorithms(self, *signature_algorithms):
+        self._cert_sig_algs.extend(
+            [sig_alg for sig_alg in signature_algorithms if sig_alg not in self._cert_sig_algs])
+
     @abc.abstractmethod
     def pre_checks(self):
         return []
 
     @abc.abstractmethod
     def cmd(self):
-        pass
+        if not self._cert_sig_algs:
+            self._cert_sig_algs = list(CERTIFICATES.keys())
 
     @abc.abstractmethod
     def post_checks(self):
@@ -127,18 +140,27 @@
     }
 
     def cmd(self):
+        super().cmd()
         ret = ['$O_NEXT_SRV_NO_CERT']
-        for _, cert, key in map(lambda sig_alg: CERTIFICATES[sig_alg], self._sig_algs):
+        for _, cert, key in map(lambda sig_alg: CERTIFICATES[sig_alg], self._cert_sig_algs):
             ret += ['-cert {cert} -key {key}'.format(cert=cert, key=key)]
         ret += ['-accept $SRV_PORT']
-        ciphersuites = ','.join(self._ciphers)
-        signature_algorithms = ','.join(self._sig_algs)
-        named_groups = ','.join(
-            map(lambda named_group: self.NAMED_GROUP[named_group], self._named_groups))
-        ret += ["-ciphersuites {ciphersuites}".format(ciphersuites=ciphersuites),
-                "-sigalgs {signature_algorithms}".format(
-                    signature_algorithms=signature_algorithms),
-                "-groups {named_groups}".format(named_groups=named_groups)]
+
+        if self._ciphers:
+            ciphersuites = ':'.join(self._ciphers)
+            ret += ["-ciphersuites {ciphersuites}".format(ciphersuites=ciphersuites)]
+
+        if self._sig_algs:
+            signature_algorithms = set(self._sig_algs + self._cert_sig_algs)
+            signature_algorithms = ':'.join(signature_algorithms)
+            ret += ["-sigalgs {signature_algorithms}".format(
+                signature_algorithms=signature_algorithms)]
+
+        if self._named_groups:
+            named_groups = ':'.join(
+                map(lambda named_group: self.NAMED_GROUP[named_group], self._named_groups))
+            ret += ["-groups {named_groups}".format(named_groups=named_groups)]
+
         ret += ['-msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache']
         if not self._compat_mode:
             ret += ['-no_middlebox']
@@ -202,10 +224,11 @@
         return ['-c "HTTP/1.0 200 OK"']
 
     def cmd(self):
+        super().cmd()
         ret = ['$G_NEXT_SRV_NO_CERT', '--http',
                '--disable-client-cert', '--debug=4']
 
-        for _, cert, key in map(lambda sig_alg: CERTIFICATES[sig_alg], self._sig_algs):
+        for _, cert, key in map(lambda sig_alg: CERTIFICATES[sig_alg], self._cert_sig_algs):
             ret += ['--x509certfile {cert} --x509keyfile {key}'.format(
                 cert=cert, key=key)]
 
@@ -216,16 +239,33 @@
                 for i in map_table[item]:
                     if i not in priority_string_list:
                         yield i
-        priority_string_list.extend(update_priority_string_list(
-            self._sig_algs, self.SIGNATURE_ALGORITHM))
-        priority_string_list.extend(
-            update_priority_string_list(self._ciphers, self.CIPHER_SUITE))
-        priority_string_list.extend(update_priority_string_list(
-            self._named_groups, self.NAMED_GROUP))
-        priority_string_list = ['NONE'] + sorted(priority_string_list) + ['VERS-TLS1.3']
+
+        if self._ciphers:
+            priority_string_list.extend(update_priority_string_list(
+                self._ciphers, self.CIPHER_SUITE))
+        else:
+            priority_string_list.append('CIPHER-ALL')
+
+        if self._sig_algs:
+            signature_algorithms = set(self._sig_algs + self._cert_sig_algs)
+            priority_string_list.extend(update_priority_string_list(
+                signature_algorithms, self.SIGNATURE_ALGORITHM))
+        else:
+            priority_string_list.append('SIGN-ALL')
+
+
+        if self._named_groups:
+            priority_string_list.extend(update_priority_string_list(
+                self._named_groups, self.NAMED_GROUP))
+        else:
+            priority_string_list.append('GROUP-ALL')
+
+        priority_string_list = ['NONE'] + \
+            sorted(priority_string_list) + ['VERS-TLS1.3']
 
         priority_string = ':+'.join(priority_string_list)
         priority_string += ':%NO_TICKETS'
+
         if not self._compat_mode:
             priority_string += [':%DISABLE_TLS13_COMPAT_MODE']
 
@@ -248,25 +288,21 @@
         'TLS_AES_128_CCM_8_SHA256': 'TLS1-3-AES-128-CCM-8-SHA256'}
 
     def cmd(self):
+        super().cmd()
         ret = ['$P_CLI']
         ret += ['server_addr=127.0.0.1', 'server_port=$SRV_PORT',
                 'debug_level=4', 'force_version=tls13']
         ret += ['ca_file={cafile}'.format(
-            cafile=CERTIFICATES[self._sig_algs[0]].cafile)]
+            cafile=CERTIFICATES[self._cert_sig_algs[0]].cafile)]
 
         if self._ciphers:
             ciphers = ','.join(
                 map(lambda cipher: self.CIPHER_SUITE[cipher], self._ciphers))
             ret += ["force_ciphersuite={ciphers}".format(ciphers=ciphers)]
 
-        if self._sig_algs:
+        if self._sig_algs + self._cert_sig_algs:
             ret += ['sig_algs={sig_algs}'.format(
-                sig_algs=','.join(self._sig_algs))]
-            for sig_alg in self._sig_algs:
-                if sig_alg in ('ecdsa_secp256r1_sha256',
-                               'ecdsa_secp384r1_sha384',
-                               'ecdsa_secp521r1_sha512'):
-                    self.add_named_groups(sig_alg.split('_')[1])
+                sig_algs=','.join(set(self._sig_algs + self._cert_sig_algs)))]
 
         if self._named_groups:
             named_groups = ','.join(self._named_groups)
@@ -283,19 +319,29 @@
         if self._compat_mode:
             ret += ['requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE']
 
-        if 'rsa_pss_rsae_sha256' in self._sig_algs:
+        if 'rsa_pss_rsae_sha256' in self._sig_algs + self._cert_sig_algs:
             ret.append(
                 'requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT')
         return ret
 
     def post_checks(self):
-        check_strings = ["ECDH curve: {group}".format(group=self._named_groups[0]),
-                         "server hello, chosen ciphersuite: ( {:04x} ) - {}".format(
-                             CIPHER_SUITE_IANA_VALUE[self._ciphers[0]],
-                             self.CIPHER_SUITE[self._ciphers[0]]),
-                         "Certificate Verify: Signature algorithm ( {:04x} )".format(
-                             SIG_ALG_IANA_VALUE[self._sig_algs[0]]),
-                         "Verifying peer X.509 certificate... ok", ]
+        check_strings = []
+        if self._ciphers:
+            check_strings.append(
+                "server hello, chosen ciphersuite: ( {:04x} ) - {}".format(
+                    CIPHER_SUITE_IANA_VALUE[self._ciphers[0]],
+                    self.CIPHER_SUITE[self._ciphers[0]]))
+        if self._sig_algs:
+            check_strings.append(
+                "Certificate Verify: Signature algorithm ( {:04x} )".format(
+                    SIG_ALG_IANA_VALUE[self._sig_algs[0]]))
+
+        for named_group in self._named_groups:
+            check_strings += ['NamedGroup: {named_group} ( {iana_value:x} )'.format(
+                                named_group=named_group,
+                                iana_value=NAMED_GROUP_IANA_VALUE[named_group])]
+
+        check_strings.append("Verifying peer X.509 certificate... ok")
         return ['-c "{}"'.format(i) for i in check_strings]
 
 
@@ -309,13 +355,21 @@
     """
     name = 'TLS 1.3 {client[0]}->{server[0]}: {cipher},{named_group},{sig_alg}'.format(
         client=client, server=server, cipher=cipher, sig_alg=sig_alg, named_group=named_group)
-    server_object = SERVER_CLASSES[server](cipher, sig_alg, named_group)
-    client_object = CLIENT_CLASSES[client](cipher, sig_alg, named_group)
+
+    server_object = SERVER_CLASSES[server](ciphersuite=cipher,
+                                           named_group=named_group,
+                                           signature_algorithm=sig_alg,
+                                           cert_sig_alg=sig_alg)
+    client_object = CLIENT_CLASSES[client](ciphersuite=cipher,
+                                           named_group=named_group,
+                                           signature_algorithm=sig_alg,
+                                           cert_sig_alg=sig_alg)
 
     cmd = ['run_test "{}"'.format(name), '"{}"'.format(
         server_object.cmd()), '"{}"'.format(client_object.cmd()), '0']
     cmd += server_object.post_checks()
     cmd += client_object.post_checks()
+    cmd += ['-C "received HelloRetryRequest message"']
     prefix = ' \\\n' + (' '*9)
     cmd = prefix.join(cmd)
     return '\n'.join(server_object.pre_checks() + client_object.pre_checks() + [cmd])
@@ -343,7 +397,7 @@
 # Purpose
 #
 # List TLS1.3 compat test cases. They are generated by
-# `generate_tls13_compat_tests.py -a`.
+# `{cmd}`.
 #
 # PLEASE DO NOT EDIT THIS FILE. IF NEEDED, PLEASE MODIFY `generate_tls13_compat_tests.py`
 # AND REGENERATE THIS FILE.
@@ -397,22 +451,26 @@
     args = parser.parse_args()
 
     def get_all_test_cases():
+        # Generate normal compat test cases
         for cipher, sig_alg, named_group, server, client in \
-            itertools.product(CIPHER_SUITE_IANA_VALUE.keys(), SIG_ALG_IANA_VALUE.keys(),
-                              NAMED_GROUP_IANA_VALUE.keys(), SERVER_CLASSES.keys(),
+            itertools.product(CIPHER_SUITE_IANA_VALUE.keys(),
+                              SIG_ALG_IANA_VALUE.keys(),
+                              NAMED_GROUP_IANA_VALUE.keys(),
+                              SERVER_CLASSES.keys(),
                               CLIENT_CLASSES.keys()):
             yield generate_compat_test(cipher=cipher, sig_alg=sig_alg, named_group=named_group,
                                        server=server, client=client)
 
+
     if args.generate_all_tls13_compat_tests:
         if args.output:
             with open(args.output, 'w', encoding="utf-8") as f:
                 f.write(SSL_OUTPUT_HEADER.format(
-                    filename=os.path.basename(args.output)))
+                    filename=os.path.basename(args.output), cmd=' '.join(sys.argv)))
                 f.write('\n\n'.join(get_all_test_cases()))
                 f.write('\n')
         else:
-            print('\n'.join(get_all_test_cases()))
+            print('\n\n'.join(get_all_test_cases()))
         return 0
 
     if args.list_ciphers or args.list_sig_algs or args.list_named_groups \