diff --git a/doc/next/6-stdlib/99-minor/crypto/x509/45990.md b/doc/next/6-stdlib/99-minor/crypto/x509/45990.md
new file mode 100644
index 0000000000000000000000000000000000000000..2eda8476a9a6877475a4942422b93f610194acbe
--- /dev/null
+++ b/doc/next/6-stdlib/99-minor/crypto/x509/45990.md
@@ -0,0 +1,3 @@
+[CreateCertificateRequest] now correct supports RSA-PSS signature algorithms.
+
+[CreateCertificateRequest] and [CreateRevocationList] now verify the generated signature using the signer’s public key. If the signature is invalid, an error is returned. This has been the behavior of [CreateCertificate] since Go 1.16.
diff --git a/src/crypto/x509/x509.go b/src/crypto/x509/x509.go
index 47bb4281102d42d0ed6739a2b2aac3ed70995c2f..50433058f74c3d8b8986b1677442bf1485090582 100644
--- a/src/crypto/x509/x509.go
+++ b/src/crypto/x509/x509.go
@@ -233,12 +233,21 @@ const (
 )
 
 func (algo SignatureAlgorithm) isRSAPSS() bool {
-	switch algo {
-	case SHA256WithRSAPSS, SHA384WithRSAPSS, SHA512WithRSAPSS:
-		return true
-	default:
-		return false
+	for _, details := range signatureAlgorithmDetails {
+		if details.algo == algo {
+			return details.isRSAPSS
+		}
 	}
+	return false
+}
+
+func (algo SignatureAlgorithm) hashFunc() crypto.Hash {
+	for _, details := range signatureAlgorithmDetails {
+		if details.algo == algo {
+			return details.hash
+		}
+	}
+	return crypto.Hash(0)
 }
 
 func (algo SignatureAlgorithm) String() string {
@@ -281,8 +290,6 @@ func (algo PublicKeyAlgorithm) String() string {
 //
 // RFC 3279 2.2.1 RSA Signature Algorithms
 //
-//	md2WithRSAEncryption OBJECT IDENTIFIER ::= { pkcs-1 2 }
-//
 //	md5WithRSAEncryption OBJECT IDENTIFIER ::= { pkcs-1 4 }
 //
 //	sha-1WithRSAEncryption OBJECT IDENTIFIER ::= { pkcs-1 5 }
@@ -325,7 +332,6 @@ func (algo PublicKeyAlgorithm) String() string {
 //
 //	id-Ed25519   OBJECT IDENTIFIER ::= { 1 3 101 112 }
 var (
-	oidSignatureMD2WithRSA      = asn1.ObjectIdentifier{1, 2, 840, 113549, 1, 1, 2}
 	oidSignatureMD5WithRSA      = asn1.ObjectIdentifier{1, 2, 840, 113549, 1, 1, 4}
 	oidSignatureSHA1WithRSA     = asn1.ObjectIdentifier{1, 2, 840, 113549, 1, 1, 5}
 	oidSignatureSHA256WithRSA   = asn1.ObjectIdentifier{1, 2, 840, 113549, 1, 1, 11}
@@ -356,40 +362,43 @@ var signatureAlgorithmDetails = []struct {
 	algo       SignatureAlgorithm
 	name       string
 	oid        asn1.ObjectIdentifier
+	params     asn1.RawValue
 	pubKeyAlgo PublicKeyAlgorithm
 	hash       crypto.Hash
+	isRSAPSS   bool
 }{
-	{MD2WithRSA, "MD2-RSA", oidSignatureMD2WithRSA, RSA, crypto.Hash(0) /* no value for MD2 */},
-	{MD5WithRSA, "MD5-RSA", oidSignatureMD5WithRSA, RSA, crypto.MD5},
-	{SHA1WithRSA, "SHA1-RSA", oidSignatureSHA1WithRSA, RSA, crypto.SHA1},
-	{SHA1WithRSA, "SHA1-RSA", oidISOSignatureSHA1WithRSA, RSA, crypto.SHA1},
-	{SHA256WithRSA, "SHA256-RSA", oidSignatureSHA256WithRSA, RSA, crypto.SHA256},
-	{SHA384WithRSA, "SHA384-RSA", oidSignatureSHA384WithRSA, RSA, crypto.SHA384},
-	{SHA512WithRSA, "SHA512-RSA", oidSignatureSHA512WithRSA, RSA, crypto.SHA512},
-	{SHA256WithRSAPSS, "SHA256-RSAPSS", oidSignatureRSAPSS, RSA, crypto.SHA256},
-	{SHA384WithRSAPSS, "SHA384-RSAPSS", oidSignatureRSAPSS, RSA, crypto.SHA384},
-	{SHA512WithRSAPSS, "SHA512-RSAPSS", oidSignatureRSAPSS, RSA, crypto.SHA512},
-	{DSAWithSHA1, "DSA-SHA1", oidSignatureDSAWithSHA1, DSA, crypto.SHA1},
-	{DSAWithSHA256, "DSA-SHA256", oidSignatureDSAWithSHA256, DSA, crypto.SHA256},
-	{ECDSAWithSHA1, "ECDSA-SHA1", oidSignatureECDSAWithSHA1, ECDSA, crypto.SHA1},
-	{ECDSAWithSHA256, "ECDSA-SHA256", oidSignatureECDSAWithSHA256, ECDSA, crypto.SHA256},
-	{ECDSAWithSHA384, "ECDSA-SHA384", oidSignatureECDSAWithSHA384, ECDSA, crypto.SHA384},
-	{ECDSAWithSHA512, "ECDSA-SHA512", oidSignatureECDSAWithSHA512, ECDSA, crypto.SHA512},
-	{PureEd25519, "Ed25519", oidSignatureEd25519, Ed25519, crypto.Hash(0) /* no pre-hashing */},
-}
-
-// hashToPSSParameters contains the DER encoded RSA PSS parameters for the
+	{MD5WithRSA, "MD5-RSA", oidSignatureMD5WithRSA, asn1.NullRawValue, RSA, crypto.MD5, false},
+	{SHA1WithRSA, "SHA1-RSA", oidSignatureSHA1WithRSA, asn1.NullRawValue, RSA, crypto.SHA1, false},
+	{SHA1WithRSA, "SHA1-RSA", oidISOSignatureSHA1WithRSA, asn1.NullRawValue, RSA, crypto.SHA1, false},
+	{SHA256WithRSA, "SHA256-RSA", oidSignatureSHA256WithRSA, asn1.NullRawValue, RSA, crypto.SHA256, false},
+	{SHA384WithRSA, "SHA384-RSA", oidSignatureSHA384WithRSA, asn1.NullRawValue, RSA, crypto.SHA384, false},
+	{SHA512WithRSA, "SHA512-RSA", oidSignatureSHA512WithRSA, asn1.NullRawValue, RSA, crypto.SHA512, false},
+	{SHA256WithRSAPSS, "SHA256-RSAPSS", oidSignatureRSAPSS, pssParametersSHA256, RSA, crypto.SHA256, true},
+	{SHA384WithRSAPSS, "SHA384-RSAPSS", oidSignatureRSAPSS, pssParametersSHA384, RSA, crypto.SHA384, true},
+	{SHA512WithRSAPSS, "SHA512-RSAPSS", oidSignatureRSAPSS, pssParametersSHA512, RSA, crypto.SHA512, true},
+	{DSAWithSHA1, "DSA-SHA1", oidSignatureDSAWithSHA1, emptyRawValue, DSA, crypto.SHA1, false},
+	{DSAWithSHA256, "DSA-SHA256", oidSignatureDSAWithSHA256, emptyRawValue, DSA, crypto.SHA256, false},
+	{ECDSAWithSHA1, "ECDSA-SHA1", oidSignatureECDSAWithSHA1, emptyRawValue, ECDSA, crypto.SHA1, false},
+	{ECDSAWithSHA256, "ECDSA-SHA256", oidSignatureECDSAWithSHA256, emptyRawValue, ECDSA, crypto.SHA256, false},
+	{ECDSAWithSHA384, "ECDSA-SHA384", oidSignatureECDSAWithSHA384, emptyRawValue, ECDSA, crypto.SHA384, false},
+	{ECDSAWithSHA512, "ECDSA-SHA512", oidSignatureECDSAWithSHA512, emptyRawValue, ECDSA, crypto.SHA512, false},
+	{PureEd25519, "Ed25519", oidSignatureEd25519, emptyRawValue, Ed25519, crypto.Hash(0) /* no pre-hashing */, false},
+}
+
+var emptyRawValue = asn1.RawValue{}
+
+// DER encoded RSA PSS parameters for the
 // SHA256, SHA384, and SHA512 hashes as defined in RFC 3447, Appendix A.2.3.
 // The parameters contain the following values:
 //   - hashAlgorithm contains the associated hash identifier with NULL parameters
 //   - maskGenAlgorithm always contains the default mgf1SHA1 identifier
 //   - saltLength contains the length of the associated hash
 //   - trailerField always contains the default trailerFieldBC value
-var hashToPSSParameters = map[crypto.Hash]asn1.RawValue{
-	crypto.SHA256: asn1.RawValue{FullBytes: []byte{48, 52, 160, 15, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 1, 5, 0, 161, 28, 48, 26, 6, 9, 42, 134, 72, 134, 247, 13, 1, 1, 8, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 1, 5, 0, 162, 3, 2, 1, 32}},
-	crypto.SHA384: asn1.RawValue{FullBytes: []byte{48, 52, 160, 15, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 2, 5, 0, 161, 28, 48, 26, 6, 9, 42, 134, 72, 134, 247, 13, 1, 1, 8, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 2, 5, 0, 162, 3, 2, 1, 48}},
-	crypto.SHA512: asn1.RawValue{FullBytes: []byte{48, 52, 160, 15, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 3, 5, 0, 161, 28, 48, 26, 6, 9, 42, 134, 72, 134, 247, 13, 1, 1, 8, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 3, 5, 0, 162, 3, 2, 1, 64}},
-}
+var (
+	pssParametersSHA256 = asn1.RawValue{FullBytes: []byte{48, 52, 160, 15, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 1, 5, 0, 161, 28, 48, 26, 6, 9, 42, 134, 72, 134, 247, 13, 1, 1, 8, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 1, 5, 0, 162, 3, 2, 1, 32}}
+	pssParametersSHA384 = asn1.RawValue{FullBytes: []byte{48, 52, 160, 15, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 2, 5, 0, 161, 28, 48, 26, 6, 9, 42, 134, 72, 134, 247, 13, 1, 1, 8, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 2, 5, 0, 162, 3, 2, 1, 48}}
+	pssParametersSHA512 = asn1.RawValue{FullBytes: []byte{48, 52, 160, 15, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 3, 5, 0, 161, 28, 48, 26, 6, 9, 42, 134, 72, 134, 247, 13, 1, 1, 8, 48, 13, 6, 9, 96, 134, 72, 1, 101, 3, 4, 2, 3, 5, 0, 162, 3, 2, 1, 64}}
+)
 
 // pssParameters reflects the parameters in an AlgorithmIdentifier that
 // specifies RSA PSS. See RFC 3447, Appendix A.2.3.
@@ -1436,81 +1445,91 @@ func subjectBytes(cert *Certificate) ([]byte, error) {
 	return asn1.Marshal(cert.Subject.ToRDNSequence())
 }
 
-// signingParamsForPublicKey returns the parameters to use for signing with
-// priv. If requestedSigAlgo is not zero then it overrides the default
-// signature algorithm.
-func signingParamsForPublicKey(pub any, requestedSigAlgo SignatureAlgorithm) (hashFunc crypto.Hash, sigAlgo pkix.AlgorithmIdentifier, err error) {
+// signingParamsForKey returns the signature algorithm and its Algorithm
+// Identifier to use for signing, based on the key type. If sigAlgo is not zero
+// then it overrides the default.
+func signingParamsForKey(key crypto.Signer, sigAlgo SignatureAlgorithm) (SignatureAlgorithm, pkix.AlgorithmIdentifier, error) {
+	var ai pkix.AlgorithmIdentifier
 	var pubType PublicKeyAlgorithm
+	var defaultAlgo SignatureAlgorithm
 
-	switch pub := pub.(type) {
+	switch pub := key.Public().(type) {
 	case *rsa.PublicKey:
 		pubType = RSA
-		hashFunc = crypto.SHA256
-		sigAlgo.Algorithm = oidSignatureSHA256WithRSA
-		sigAlgo.Parameters = asn1.NullRawValue
+		defaultAlgo = SHA256WithRSA
 
 	case *ecdsa.PublicKey:
 		pubType = ECDSA
-
 		switch pub.Curve {
 		case elliptic.P224(), elliptic.P256():
-			hashFunc = crypto.SHA256
-			sigAlgo.Algorithm = oidSignatureECDSAWithSHA256
+			defaultAlgo = ECDSAWithSHA256
 		case elliptic.P384():
-			hashFunc = crypto.SHA384
-			sigAlgo.Algorithm = oidSignatureECDSAWithSHA384
+			defaultAlgo = ECDSAWithSHA384
 		case elliptic.P521():
-			hashFunc = crypto.SHA512
-			sigAlgo.Algorithm = oidSignatureECDSAWithSHA512
+			defaultAlgo = ECDSAWithSHA512
 		default:
-			err = errors.New("x509: unknown elliptic curve")
+			return 0, ai, errors.New("x509: unsupported elliptic curve")
 		}
 
 	case ed25519.PublicKey:
 		pubType = Ed25519
-		sigAlgo.Algorithm = oidSignatureEd25519
+		defaultAlgo = PureEd25519
 
 	default:
-		err = errors.New("x509: only RSA, ECDSA and Ed25519 keys supported")
+		return 0, ai, errors.New("x509: only RSA, ECDSA and Ed25519 keys supported")
 	}
 
-	if err != nil {
-		return
-	}
-
-	if requestedSigAlgo == 0 {
-		return
+	if sigAlgo == 0 {
+		sigAlgo = defaultAlgo
 	}
 
-	found := false
 	for _, details := range signatureAlgorithmDetails {
-		if details.algo == requestedSigAlgo {
+		if details.algo == sigAlgo {
 			if details.pubKeyAlgo != pubType {
-				err = errors.New("x509: requested SignatureAlgorithm does not match private key type")
-				return
-			}
-			sigAlgo.Algorithm, hashFunc = details.oid, details.hash
-			if hashFunc == 0 && pubType != Ed25519 {
-				err = errors.New("x509: cannot sign with hash function requested")
-				return
+				return 0, ai, errors.New("x509: requested SignatureAlgorithm does not match private key type")
 			}
-			if hashFunc == crypto.MD5 {
-				err = errors.New("x509: signing with MD5 is not supported")
-				return
+			if details.hash == crypto.MD5 {
+				return 0, ai, errors.New("x509: signing with MD5 is not supported")
 			}
-			if requestedSigAlgo.isRSAPSS() {
-				sigAlgo.Parameters = hashToPSSParameters[hashFunc]
-			}
-			found = true
-			break
+
+			return sigAlgo, pkix.AlgorithmIdentifier{
+				Algorithm:  details.oid,
+				Parameters: details.params,
+			}, nil
 		}
 	}
 
-	if !found {
-		err = errors.New("x509: unknown SignatureAlgorithm")
+	return 0, ai, errors.New("x509: unknown SignatureAlgorithm")
+}
+
+func signTBS(tbs []byte, key crypto.Signer, sigAlg SignatureAlgorithm, rand io.Reader) ([]byte, error) {
+	signed := tbs
+	hashFunc := sigAlg.hashFunc()
+	if hashFunc != 0 {
+		h := hashFunc.New()
+		h.Write(signed)
+		signed = h.Sum(nil)
 	}
 
-	return
+	var signerOpts crypto.SignerOpts = hashFunc
+	if sigAlg.isRSAPSS() {
+		signerOpts = &rsa.PSSOptions{
+			SaltLength: rsa.PSSSaltLengthEqualsHash,
+			Hash:       hashFunc,
+		}
+	}
+
+	signature, err := key.Sign(rand, signed, signerOpts)
+	if err != nil {
+		return nil, err
+	}
+
+	// Check the signature to ensure the crypto.Signer behaved correctly.
+	if err := checkSignature(sigAlg, tbs, signature, key.Public(), true); err != nil {
+		return nil, fmt.Errorf("x509: signature returned by signer is invalid: %w", err)
+	}
+
+	return signature, nil
 }
 
 // emptyASN1Subject is the ASN.1 DER encoding of an empty Subject, which is
@@ -1600,7 +1619,7 @@ func CreateCertificate(rand io.Reader, template, parent *Certificate, pub, priv
 		return nil, errors.New("x509: only CAs are allowed to specify MaxPathLen")
 	}
 
-	hashFunc, signatureAlgorithm, err := signingParamsForPublicKey(key.Public(), template.SignatureAlgorithm)
+	signatureAlgorithm, algorithmIdentifier, err := signingParamsForKey(key, template.SignatureAlgorithm)
 	if err != nil {
 		return nil, err
 	}
@@ -1657,7 +1676,7 @@ func CreateCertificate(rand io.Reader, template, parent *Certificate, pub, priv
 	c := tbsCertificate{
 		Version:            2,
 		SerialNumber:       template.SerialNumber,
-		SignatureAlgorithm: signatureAlgorithm,
+		SignatureAlgorithm: algorithmIdentifier,
 		Issuer:             asn1.RawValue{FullBytes: asn1Issuer},
 		Validity:           validity{template.NotBefore.UTC(), template.NotAfter.UTC()},
 		Subject:            asn1.RawValue{FullBytes: asn1Subject},
@@ -1671,42 +1690,16 @@ func CreateCertificate(rand io.Reader, template, parent *Certificate, pub, priv
 	}
 	c.Raw = tbsCertContents
 
-	signed := tbsCertContents
-	if hashFunc != 0 {
-		h := hashFunc.New()
-		h.Write(signed)
-		signed = h.Sum(nil)
-	}
-
-	var signerOpts crypto.SignerOpts = hashFunc
-	if template.SignatureAlgorithm != 0 && template.SignatureAlgorithm.isRSAPSS() {
-		signerOpts = &rsa.PSSOptions{
-			SaltLength: rsa.PSSSaltLengthEqualsHash,
-			Hash:       hashFunc,
-		}
-	}
-
-	var signature []byte
-	signature, err = key.Sign(rand, signed, signerOpts)
+	signature, err := signTBS(tbsCertContents, key, signatureAlgorithm, rand)
 	if err != nil {
 		return nil, err
 	}
 
-	signedCert, err := asn1.Marshal(certificate{
-		c,
-		signatureAlgorithm,
-		asn1.BitString{Bytes: signature, BitLength: len(signature) * 8},
+	return asn1.Marshal(certificate{
+		TBSCertificate:     c,
+		SignatureAlgorithm: algorithmIdentifier,
+		SignatureValue:     asn1.BitString{Bytes: signature, BitLength: len(signature) * 8},
 	})
-	if err != nil {
-		return nil, err
-	}
-
-	// Check the signature to ensure the crypto.Signer behaved correctly.
-	if err := checkSignature(getSignatureAlgorithmFromAI(signatureAlgorithm), c.Raw, signature, key.Public(), true); err != nil {
-		return nil, fmt.Errorf("x509: signature over certificate returned by signer is invalid: %w", err)
-	}
-
-	return signedCert, nil
 }
 
 // pemCRLPrefix is the magic string that indicates that we have a PEM encoded
@@ -1756,7 +1749,7 @@ func (c *Certificate) CreateCRL(rand io.Reader, priv any, revokedCerts []pkix.Re
 		return nil, errors.New("x509: certificate private key does not implement crypto.Signer")
 	}
 
-	hashFunc, signatureAlgorithm, err := signingParamsForPublicKey(key.Public(), 0)
+	signatureAlgorithm, algorithmIdentifier, err := signingParamsForKey(key, 0)
 	if err != nil {
 		return nil, err
 	}
@@ -1770,7 +1763,7 @@ func (c *Certificate) CreateCRL(rand io.Reader, priv any, revokedCerts []pkix.Re
 
 	tbsCertList := pkix.TBSCertificateList{
 		Version:             1,
-		Signature:           signatureAlgorithm,
+		Signature:           algorithmIdentifier,
 		Issuer:              c.Subject.ToRDNSequence(),
 		ThisUpdate:          now.UTC(),
 		NextUpdate:          expiry.UTC(),
@@ -1783,32 +1776,25 @@ func (c *Certificate) CreateCRL(rand io.Reader, priv any, revokedCerts []pkix.Re
 		aki.Id = oidExtensionAuthorityKeyId
 		aki.Value, err = asn1.Marshal(authKeyId{Id: c.SubjectKeyId})
 		if err != nil {
-			return
+			return nil, err
 		}
 		tbsCertList.Extensions = append(tbsCertList.Extensions, aki)
 	}
 
 	tbsCertListContents, err := asn1.Marshal(tbsCertList)
 	if err != nil {
-		return
-	}
-
-	signed := tbsCertListContents
-	if hashFunc != 0 {
-		h := hashFunc.New()
-		h.Write(signed)
-		signed = h.Sum(nil)
+		return nil, err
 	}
+	tbsCertList.Raw = tbsCertListContents
 
-	var signature []byte
-	signature, err = key.Sign(rand, signed, hashFunc)
+	signature, err := signTBS(tbsCertListContents, key, signatureAlgorithm, rand)
 	if err != nil {
-		return
+		return nil, err
 	}
 
 	return asn1.Marshal(pkix.CertificateList{
 		TBSCertList:        tbsCertList,
-		SignatureAlgorithm: signatureAlgorithm,
+		SignatureAlgorithm: algorithmIdentifier,
 		SignatureValue:     asn1.BitString{Bytes: signature, BitLength: len(signature) * 8},
 	})
 }
@@ -1976,9 +1962,7 @@ func CreateCertificateRequest(rand io.Reader, template *CertificateRequest, priv
 		return nil, errors.New("x509: certificate private key does not implement crypto.Signer")
 	}
 
-	var hashFunc crypto.Hash
-	var sigAlgo pkix.AlgorithmIdentifier
-	hashFunc, sigAlgo, err = signingParamsForPublicKey(key.Public(), template.SignatureAlgorithm)
+	signatureAlgorithm, algorithmIdentifier, err := signingParamsForKey(key, template.SignatureAlgorithm)
 	if err != nil {
 		return nil, err
 	}
@@ -2050,7 +2034,7 @@ func CreateCertificateRequest(rand io.Reader, template *CertificateRequest, priv
 
 	rawAttributes, err := newRawAttributes(attributes)
 	if err != nil {
-		return
+		return nil, err
 	}
 
 	// If not included in attributes, add a new attribute for the
@@ -2100,38 +2084,19 @@ func CreateCertificateRequest(rand io.Reader, template *CertificateRequest, priv
 
 	tbsCSRContents, err := asn1.Marshal(tbsCSR)
 	if err != nil {
-		return
+		return nil, err
 	}
 	tbsCSR.Raw = tbsCSRContents
 
-	signed := tbsCSRContents
-	if hashFunc != 0 {
-		h := hashFunc.New()
-		h.Write(signed)
-		signed = h.Sum(nil)
-	}
-
-	var signerOpts crypto.SignerOpts = hashFunc
-	if template.SignatureAlgorithm != 0 && template.SignatureAlgorithm.isRSAPSS() {
-		signerOpts = &rsa.PSSOptions{
-			SaltLength: rsa.PSSSaltLengthEqualsHash,
-			Hash:       hashFunc,
-		}
-	}
-
-	var signature []byte
-	signature, err = key.Sign(rand, signed, signerOpts)
+	signature, err := signTBS(tbsCSRContents, key, signatureAlgorithm, rand)
 	if err != nil {
-		return
+		return nil, err
 	}
 
 	return asn1.Marshal(certificateRequest{
 		TBSCSR:             tbsCSR,
-		SignatureAlgorithm: sigAlgo,
-		SignatureValue: asn1.BitString{
-			Bytes:     signature,
-			BitLength: len(signature) * 8,
-		},
+		SignatureAlgorithm: algorithmIdentifier,
+		SignatureValue:     asn1.BitString{Bytes: signature, BitLength: len(signature) * 8},
 	})
 }
 
@@ -2359,7 +2324,7 @@ func CreateRevocationList(rand io.Reader, template *RevocationList, issuer *Cert
 		return nil, errors.New("x509: template contains nil Number field")
 	}
 
-	hashFunc, signatureAlgorithm, err := signingParamsForPublicKey(priv.Public(), template.SignatureAlgorithm)
+	signatureAlgorithm, algorithmIdentifier, err := signingParamsForKey(priv, template.SignatureAlgorithm)
 	if err != nil {
 		return nil, err
 	}
@@ -2443,7 +2408,7 @@ func CreateRevocationList(rand io.Reader, template *RevocationList, issuer *Cert
 
 	tbsCertList := tbsCertificateList{
 		Version:    1, // v2
-		Signature:  signatureAlgorithm,
+		Signature:  algorithmIdentifier,
 		Issuer:     asn1.RawValue{FullBytes: issuerSubject},
 		ThisUpdate: template.ThisUpdate.UTC(),
 		NextUpdate: template.NextUpdate.UTC(),
@@ -2475,28 +2440,14 @@ func CreateRevocationList(rand io.Reader, template *RevocationList, issuer *Cert
 	// then embedding in certificateList below.
 	tbsCertList.Raw = tbsCertListContents
 
-	input := tbsCertListContents
-	if hashFunc != 0 {
-		h := hashFunc.New()
-		h.Write(tbsCertListContents)
-		input = h.Sum(nil)
-	}
-	var signerOpts crypto.SignerOpts = hashFunc
-	if template.SignatureAlgorithm.isRSAPSS() {
-		signerOpts = &rsa.PSSOptions{
-			SaltLength: rsa.PSSSaltLengthEqualsHash,
-			Hash:       hashFunc,
-		}
-	}
-
-	signature, err := priv.Sign(rand, input, signerOpts)
+	signature, err := signTBS(tbsCertListContents, priv, signatureAlgorithm, rand)
 	if err != nil {
 		return nil, err
 	}
 
 	return asn1.Marshal(certificateList{
 		TBSCertList:        tbsCertList,
-		SignatureAlgorithm: signatureAlgorithm,
+		SignatureAlgorithm: algorithmIdentifier,
 		SignatureValue:     asn1.BitString{Bytes: signature, BitLength: len(signature) * 8},
 	})
 }
diff --git a/src/crypto/x509/x509_test.go b/src/crypto/x509/x509_test.go
index 026367b167624d7aaed0fc50733d5f07e96323e5..90c7ce9076b5a81ab5a5450642ed5345510a0142 100644
--- a/src/crypto/x509/x509_test.go
+++ b/src/crypto/x509/x509_test.go
@@ -1301,11 +1301,13 @@ func TestCRLCreation(t *testing.T) {
 		crlBytes, err := test.cert.CreateCRL(rand.Reader, test.priv, revokedCerts, now, expiry)
 		if err != nil {
 			t.Errorf("%s: error creating CRL: %s", test.name, err)
+			continue
 		}
 
 		parsedCRL, err := ParseDERCRL(crlBytes)
 		if err != nil {
 			t.Errorf("%s: error reparsing CRL: %s", test.name, err)
+			continue
 		}
 		if !reflect.DeepEqual(parsedCRL.TBSCertList.RevokedCertificates, expectedCerts) {
 			t.Errorf("%s: RevokedCertificates mismatch: got %v; want %v.", test.name,
@@ -1815,7 +1817,7 @@ func TestInsecureAlgorithmErrorString(t *testing.T) {
 		{MD5WithRSA, "x509: cannot verify signature: insecure algorithm MD5-RSA"},
 		{SHA1WithRSA, "x509: cannot verify signature: insecure algorithm SHA1-RSA (temporarily override with GODEBUG=x509sha1=1)"},
 		{ECDSAWithSHA1, "x509: cannot verify signature: insecure algorithm ECDSA-SHA1 (temporarily override with GODEBUG=x509sha1=1)"},
-		{MD2WithRSA, "x509: cannot verify signature: insecure algorithm MD2-RSA"},
+		{MD2WithRSA, "x509: cannot verify signature: insecure algorithm 1"},
 		{-1, "x509: cannot verify signature: insecure algorithm -1"},
 		{0, "x509: cannot verify signature: insecure algorithm 0"},
 		{9999, "x509: cannot verify signature: insecure algorithm 9999"},
@@ -2959,10 +2961,13 @@ func TestRSAPSAParameters(t *testing.T) {
 		return serialized
 	}
 
-	for h, params := range hashToPSSParameters {
-		generated := generateParams(h)
-		if !bytes.Equal(params.FullBytes, generated) {
-			t.Errorf("hardcoded parameters for %s didn't match generated parameters: got (generated) %x, wanted (hardcoded) %x", h, generated, params.FullBytes)
+	for _, detail := range signatureAlgorithmDetails {
+		if !detail.isRSAPSS {
+			continue
+		}
+		generated := generateParams(detail.hash)
+		if !bytes.Equal(detail.params.FullBytes, generated) {
+			t.Errorf("hardcoded parameters for %s didn't match generated parameters: got (generated) %x, wanted (hardcoded) %x", detail.hash, generated, detail.params.FullBytes)
 		}
 	}
 }
@@ -3138,15 +3143,11 @@ func TestCreateCertificateBrokenSigner(t *testing.T) {
 		SerialNumber: big.NewInt(10),
 		DNSNames:     []string{"example.com"},
 	}
-	k, err := rsa.GenerateKey(rand.Reader, 1024)
-	if err != nil {
-		t.Fatalf("failed to generate test key: %s", err)
-	}
-	expectedErr := "x509: signature over certificate returned by signer is invalid: crypto/rsa: verification error"
-	_, err = CreateCertificate(rand.Reader, template, template, k.Public(), &brokenSigner{k.Public()})
+	expectedErr := "signature returned by signer is invalid"
+	_, err := CreateCertificate(rand.Reader, template, template, testPrivateKey.Public(), &brokenSigner{testPrivateKey.Public()})
 	if err == nil {
 		t.Fatal("expected CreateCertificate to fail with a broken signer")
-	} else if err.Error() != expectedErr {
+	} else if !strings.Contains(err.Error(), expectedErr) {
 		t.Fatalf("CreateCertificate returned an unexpected error: got %q, want %q", err, expectedErr)
 	}
 }