diff --git a/tests/suites/test_suite_pkparse.data b/tests/suites/test_suite_pkparse.data
index 4c9e44c12..cd842cf8b 100644
--- a/tests/suites/test_suite_pkparse.data
+++ b/tests/suites/test_suite_pkparse.data
@@ -1072,9 +1072,12 @@ Parse EC Key #15 (SEC1 DER, secp256k1, SpecifiedECDomain)
 depends_on:MBEDTLS_PEM_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256K1_ENABLED:MBEDTLS_PK_PARSE_EC_EXTENDED
 pk_parse_keyfile_ec:"data_files/ec_prv.specdom.der":"NULL":0
 
-Key ASN1 (Incorrect first tag)
+Key ASN1 (No data)
 pk_parse_key:"":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
 
+Key ASN1 (First tag not Sequence)
+pk_parse_key:"020100":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
 Key ASN1 (RSAPrivateKey, incorrect version tag)
 depends_on:MBEDTLS_RSA_C
 pk_parse_key:"300100":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
@@ -1091,13 +1094,61 @@ Key ASN1 (RSAPrivateKey, correct version, incorrect tag)
 depends_on:MBEDTLS_RSA_C
 pk_parse_key:"300402010000":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
 
-Key ASN1 (RSAPrivateKey, values present, length mismatch)
+Key ASN1 (RSAPrivateKey, correct format+values, minimal modulus size (128 bit))
 depends_on:MBEDTLS_RSA_C
-pk_parse_key:"301c02010002010102010102010102010102010102010102010102010100":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":0
 
-Key ASN1 (RSAPrivateKey, values present, check_privkey fails)
+Key ASN1 (RSAPrivateKey, correct format, modulus too small (127 bit))
 depends_on:MBEDTLS_RSA_C
-pk_parse_key:"301b020100020102020101020101020101020101020101020101020101":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+pk_parse_key:"30630201000211007c8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct format, modulus even)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c857002030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct format, d == 0)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"30630201000211007c8ab070369ede72920e5a51523c8571020301000102110000000000000000000000000000000000020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct format, d == p == q == 0)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c8571020301000102110000000000000000000000000000000000020900000000000000000002090000000000000000000209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, trailing garbage)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3064020100021100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c00":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, n wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100FF1100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, e wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c8571FF030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, d wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c85710203010001FF11009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, p wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201FF0900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, q wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61FF0900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, dp wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a211FF09009471f14c26428401020813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, dq wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401FF0813425f060c4b72210208052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
+
+Key ASN1 (RSAPrivateKey, correct values, qp wrong tag)
+depends_on:MBEDTLS_RSA_C
+pk_parse_key:"3063020100021100cc8ab070369ede72920e5a51523c857102030100010211009a6318982a7231de1894c54aa4909201020900f3058fd8dc484d61020900d7770dbd8b78a2110209009471f14c26428401020813425f060c4b7221FF08052b93d01747a87c":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
 
 Key ASN1 (ECPrivateKey, empty parameters)
 depends_on:MBEDTLS_ECP_C