diff --git a/tests/data_files/Makefile b/tests/data_files/Makefile
index 8ec84c1..f814431 100644
--- a/tests/data_files/Makefile
+++ b/tests/data_files/Makefile
@@ -556,12 +556,12 @@
 authorityKeyId_no_keyid.crt.der:
 	$(OPENSSL) req -x509 -nodes -days 7300 -key server2.key -outform DER -out $@ -config authorityKeyId_subjectKeyId.conf -extensions 'v3_req_authorityKeyId_no_keyid'
 
+authorityKeyId_no_issuer.crt.der:
+	$(OPENSSL) req -x509 -nodes -days 7300 -key server2.key -outform DER -out $@ -config authorityKeyId_subjectKeyId.conf -extensions 'v3_req_authorityKeyId_no_issuer'
+
 authorityKeyId_no_authorityKeyId.crt.der:
 	$(OPENSSL) req -x509 -nodes -days 7300 -key server2.key -outform DER -out $@ -config authorityKeyId_subjectKeyId.conf -extensions 'v3_req_no_authorityKeyId'
 
-authorityKeyId_empty.crt.der:
-	$(OPENSSL) req -x509 -nodes -days 7300 -key server2.key -outform DER -out $@ -config authorityKeyId_subjectKeyId.conf -extensions 'v3_req_authorityKeyId_empty'
-
 authorityKeyId_subjectKeyId_tag_malformed.crt.der: authorityKeyId_subjectKeyId.crt.der
 	hexdump -ve '1/1 "%.2X"' $< | sed "s/0414A505E864B8DCDF600F50124D60A864AF4D8B4393/0114A505E864B8DCDF600F50124D60A864AF4D8B4393/" | xxd -r -p > $@
 
diff --git a/tests/data_files/authorityKeyId_empty.crt.der b/tests/data_files/authorityKeyId_empty.crt.der
deleted file mode 100644
index e4a2086..0000000
--- a/tests/data_files/authorityKeyId_empty.crt.der
+++ /dev/null
Binary files differ
diff --git a/tests/data_files/authorityKeyId_no_issuer.crt.der b/tests/data_files/authorityKeyId_no_issuer.crt.der
new file mode 100644
index 0000000..175ee3f
--- /dev/null
+++ b/tests/data_files/authorityKeyId_no_issuer.crt.der
Binary files differ
diff --git a/tests/data_files/authorityKeyId_subjectKeyId.conf b/tests/data_files/authorityKeyId_subjectKeyId.conf
index 94ab20e..296fac8 100644
--- a/tests/data_files/authorityKeyId_subjectKeyId.conf
+++ b/tests/data_files/authorityKeyId_subjectKeyId.conf
@@ -12,7 +12,8 @@
 [v3_req_authorityKeyId_no_keyid]
 subjectKeyIdentifier = hash
 authorityKeyIdentifier = issuer:always
-[v3_req_no_authorityKeyId]
+[v3_req_authorityKeyId_no_issuer]
 subjectKeyIdentifier = hash
-[v3_req_authorityKeyId_empty]
+authorityKeyIdentifier = keyid:always
+[v3_req_no_authorityKeyId]
 subjectKeyIdentifier = hash
diff --git a/tests/suites/test_suite_x509parse.data b/tests/suites/test_suite_x509parse.data
index 51b92da..b49824b 100644
--- a/tests/suites/test_suite_x509parse.data
+++ b/tests/suites/test_suite_x509parse.data
@@ -3321,14 +3321,14 @@
 depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_RSA_C
 x509_crt_parse_authoritykeyid:"data_files/authorityKeyId_no_keyid.crt.der":"":"NL/PolarSSL/PolarSSL Test CA/":"7581F2D168FE33F964F0AE5FE884FAD3C55F24DA":0
 
+X509 CRT parse Authority Key Id - Correct Authority Key ID (no issuer)
+depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_RSA_C
+x509_crt_parse_authoritykeyid:"data_files/authorityKeyId_no_issuer.crt.der":"A505E864B8DCDF600F50124D60A864AF4D8B4393":"":"":0
+
 X509 CRT parse Authority Key Id - no Authority Key ID
 depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_RSA_C
 x509_crt_parse_authoritykeyid:"data_files/authorityKeyId_no_authorityKeyId.crt.der":"":"":"":0
 
-X509 CRT parse Authority Key Id - Correct Authority Key ID (empty)
-depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_RSA_C
-x509_crt_parse_authoritykeyid:"data_files/authorityKeyId_empty.crt.der":"":"":"":0
-
 X509 CRT parse Authority Key Id - Wrong Length
 depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_RSA_C
 x509_crt_parse_authoritykeyid:"data_files/authorityKeyId_subjectKeyId_length_malformed.crt.der":"":"":"":MBEDTLS_ERR_X509_INVALID_EXTENSIONS+MBEDTLS_ERR_ASN1_LENGTH_MISMATCH