diff --git a/tests/suites/test_suite_x509parse.data b/tests/suites/test_suite_x509parse.data
index 009b2ee01..3e6004991 100644
--- a/tests/suites/test_suite_x509parse.data
+++ b/tests/suites/test_suite_x509parse.data
@@ -1022,38 +1022,38 @@ X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, tag wrong)
 x509parse_crt:"3021300ca0030201028204deadbeef00300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_UNEXPECTED_TAG
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, OID missing)
-x509parse_crt:"308189308173a0030201008204deadbeef3000300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
+x509parse_crt:"3081883073a0030201008204deadbeef3000300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, OID tag wrong)
-x509parse_crt:"30818b308175a0030201008204deadbeef30020500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_UNEXPECTED_TAG
+x509parse_crt:"30818a3075a0030201008204deadbeef30020500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_UNEXPECTED_TAG
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, OID invalid length encoding)
-x509parse_crt:"30818b308175a0030201008204deadbeef30020685300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_INVALID_LENGTH
+x509parse_crt:"30818a3075a0030201008204deadbeef30020685300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_INVALID_LENGTH
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, OID length out of bounds)
-x509parse_crt:"30818b308175a0030201008204deadbeef30020601300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
+x509parse_crt:"30818a3075a0030201008204deadbeef30020601300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, OID empty)
-x509parse_crt:"30818b308175a0030201008204deadbeef30020600300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_UNKNOWN_SIG_ALG + MBEDTLS_ERR_OID_NOT_FOUND
+x509parse_crt:"30818a3075a0030201008204deadbeef30020600300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_UNKNOWN_SIG_ALG + MBEDTLS_ERR_OID_NOT_FOUND
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, OID unknown)
-x509parse_crt:"30818f308179a0030201008204deadbeef30060604deadbeef300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_UNKNOWN_SIG_ALG + MBEDTLS_ERR_OID_NOT_FOUND
+x509parse_crt:"30818e3079a0030201008204deadbeef30060604deadbeef300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_UNKNOWN_SIG_ALG + MBEDTLS_ERR_OID_NOT_FOUND
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, param invalid length encoding)
-x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010b0685300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_INVALID_LENGTH
+x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010b0685300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_INVALID_LENGTH
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, param length out of bounds)
-x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010b0601300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
+x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010b0601300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, param length mismatch)
-x509parse_crt:"308198308182a0030201008204deadbeef300f06092a864886f70d01010b06010000300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_LENGTH_MISMATCH
+x509parse_crt:"308198308182a0030201008204deadbeef300f06092a864886f70d01010b06010000300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_LENGTH_MISMATCH
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, params present but empty)
-x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010b0600300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG
+x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010b0600300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG
 
 X509 Certificate ASN1 (TBSCertificate, invalid AlgorithmIdentifier, bad RSASSA-PSS params)
 depends_on:MBEDTLS_X509_RSASSA_PSS_SUPPORT
-x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010a3100300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_UNEXPECTED_TAG
+x509parse_crt:"308196308180a0030201008204deadbeef300d06092a864886f70d01010a3100300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_UNEXPECTED_TAG
 
 X509 Certificate ASN1 (TBSCertificate, Issuer missing)
 x509parse_crt:"302d3018a0030201008204deadbeef300b06092a864886f70d01010b300d06092a864886f70d01010b0500030200ff":"":MBEDTLS_ERR_X509_INVALID_FORMAT + MBEDTLS_ERR_ASN1_OUT_OF_DATA
@@ -1642,23 +1642,27 @@ x509parse_crt:"308203723082025aa003020102020111300d06092a864886f70d0101050500303
 
 X509 Certificate ASN1 (SignatureAlgorithm missing)
 depends_on:MBEDTLS_RSA_C:MBEDTLS_SHA256_C
-x509parse_crt:"308183308180a0030201008204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
+x509parse_crt:"3081aa3081a7a0030201028204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffffa100a200a321301f301d0603551d11041630148208666f6f2e7465737482086261722e74657374":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
 
-X509 Certificate ASN1 (sig_alg mismatch)
+X509 Certificate ASN1 (invalid SignatureAlgorithm, bad tag)
 depends_on:MBEDTLS_RSA_C:MBEDTLS_SHA256_C
-x509parse_crt:"308192308180a0030201008204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d0102020500":"":MBEDTLS_ERR_X509_SIG_MISMATCH
+x509parse_crt:"3081ab3081a7a0030201028204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffffa100a200a321301f301d0603551d11041630148208666f6f2e7465737482086261722e7465737400":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_UNEXPECTED_TAG
 
-X509 Certificate ASN1 (sig_alg, no sig)
+X509 Certificate ASN1 (invalid SignatureAlgorithm, length missing)
 depends_on:MBEDTLS_RSA_C:MBEDTLS_SHA256_C
-x509parse_crt:"308192308180a0030201008204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500":"":MBEDTLS_ERR_X509_INVALID_SIGNATURE + MBEDTLS_ERR_ASN1_OUT_OF_DATA
+x509parse_crt:"3081ab3081a7a0030201028204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffffa100a200a321301f301d0603551d11041630148208666f6f2e7465737482086261722e7465737430":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
 
-X509 Certificate ASN1 (signature, invalid sig data)
+X509 Certificate ASN1 (invalid SignatureAlgorithm, invalid length encoding)
 depends_on:MBEDTLS_RSA_C:MBEDTLS_SHA256_C
-x509parse_crt:"308195308180a0030201008204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030100":"":MBEDTLS_ERR_X509_INVALID_SIGNATURE + MBEDTLS_ERR_ASN1_INVALID_DATA
+x509parse_crt:"3081ac3081a7a0030201028204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffffa100a200a321301f301d0603551d11041630148208666f6f2e7465737482086261722e746573743085":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_INVALID_LENGTH
 
-X509 Certificate ASN1 (signature, data left)
+X509 Certificate ASN1 (invalid SignatureAlgorithm, length out of bounds)
 depends_on:MBEDTLS_RSA_C:MBEDTLS_SHA256_C
-x509parse_crt:"308197308180a0030201008204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092a864886f70d010101050003190030160210ffffffffffffffffffffffffffffffff0202ffff300d06092a864886f70d01010b0500030200ff00":"":MBEDTLS_ERR_X509_INVALID_FORMAT + MBEDTLS_ERR_ASN1_LENGTH_MISMATCH
+x509parse_crt:"3081ac3081a7a0030201028204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffffa100a200a321301f301d0603551d11041630148208666f6f2e7465737482086261722e746573743001":"":MBEDTLS_ERR_X509_INVALID_ALG + MBEDTLS_ERR_ASN1_OUT_OF_DATA
+
+X509 Certificate ASN1 (invalid SignatureAlgorithm, not the same as SignatureAlgorithm in TBS)
+depends_on:MBEDTLS_RSA_C:MBEDTLS_SHA256_C
+x509parse_crt:"3081bd3081a7a0030201028204deadbeef300d06092a864886f70d01010b0500300c310a30080600130454657374301c170c303930313031303030303030170c303931323331323335393539300c310a30080600130454657374302a300d06092A864886F70D010101050003190030160210ffffffffffffffffffffffffffffffff0202ffffa100a200a321301f301d0603551d11041630148208666f6f2e7465737482086261722e74657374300d06092a864886f70d01010a0500030200ff":"":MBEDTLS_ERR_X509_SIG_MISMATCH
 
 X509 Certificate ASN1 (well-formed)
 depends_on:MBEDTLS_RSA_C:MBEDTLS_SHA256_C