diff --git a/evp.go b/evp.go
index 3eac4057..eca12af7 100644
--- a/evp.go
+++ b/evp.go
@@ -70,7 +70,6 @@ func cryptoHashToMD(ch crypto.Hash) (md C.GO_EVP_MD_PTR) {
 			return C.go_openssl_EVP_md5_sha1()
 		}
 	}
-	sha3Defined := vMajor > 1 || (vMajor >= 1 && vMinor > 1) || (vMajor >= 1 && vMinor >= 1 && vPatch >= 1)
 	switch ch {
 	case crypto.MD4:
 		return C.go_openssl_EVP_md4()
@@ -86,20 +85,20 @@ func cryptoHashToMD(ch crypto.Hash) (md C.GO_EVP_MD_PTR) {
 		return C.go_openssl_EVP_sha384()
 	case crypto.SHA512:
 		return C.go_openssl_EVP_sha512()
-	case crypto.SHA3_224:
-		if sha3Defined {
+	case crypto.SHA3_224, crypto.SHA3_256, crypto.SHA3_384, crypto.SHA3_512:
+		if version1_1_1_or_above() {
 			return C.go_openssl_EVP_sha3_224()
 		}
 	case crypto.SHA3_256:
-		if sha3Defined {
+		if version1_1_1_or_above() {
 			return C.go_openssl_EVP_sha3_256()
 		}
 	case crypto.SHA3_384:
-		if sha3Defined {
+		if version1_1_1_or_above() {
 			return C.go_openssl_EVP_sha3_384()
 		}
 	case crypto.SHA3_512:
-		if sha3Defined {
+		if version1_1_1_or_above() {
 			return C.go_openssl_EVP_sha3_512()
 		}
 	}
diff --git a/hkdf.go b/hkdf.go
index 20a966a7..db39b451 100644
--- a/hkdf.go
+++ b/hkdf.go
@@ -13,9 +13,7 @@ import (
 )
 
 func SupportsHKDF() bool {
-	return vMajor > 1 ||
-		(vMajor >= 1 && vMinor > 1) ||
-		(vMajor >= 1 && vMinor >= 1 && vPatch >= 1)
+	return version1_1_1_or_above()
 }
 
 func newHKDF(h func() hash.Hash, mode C.int) (*hkdf, error) {
diff --git a/openssl.go b/openssl.go
index 659b7e12..fce41943 100644
--- a/openssl.go
+++ b/openssl.go
@@ -271,3 +271,7 @@ func bnToBig(bn C.GO_BIGNUM_PTR) BigInt {
 func CheckLeaks() {
 	C.go_openssl_do_leak_check()
 }
+
+func version1_1_1_or_above() bool {
+	return vMajor > 1 || (vMajor >= 1 && vMinor > 1) || (vMajor >= 1 && vMinor >= 1 && vPatch >= 1)
+}
diff --git a/sha.go b/sha.go
index 05dd1469..3cc87687 100644
--- a/sha.go
+++ b/sha.go
@@ -269,17 +269,17 @@ func (h *md5Hash) Sum(in []byte) []byte {
 }
 
 const (
-	sha5Magic         = "md5\x01"
-	sha5MarshaledSize = len(sha5Magic) + 4*4 + 64 + 8
+	md5Magic         = "md5\x01"
+	md5MarshaledSize = len(md5Magic) + 4*4 + 64 + 8
 )
 
 func (h *md5Hash) MarshalBinary() ([]byte, error) {
 	d := (*md5State)(h.shaState())
 	if d == nil {
-		return nil, errors.New("crypto/sha1: can't retrieve hash state")
+		return nil, errors.New("crypto/md5: can't retrieve hash state")
 	}
-	b := make([]byte, 0, sha5MarshaledSize)
-	b = append(b, sha5Magic...)
+	b := make([]byte, 0, md5MarshaledSize)
+	b = append(b, md5Magic...)
 	b = appendUint32(b, d.h[0])
 	b = appendUint32(b, d.h[1])
 	b = appendUint32(b, d.h[2])
@@ -291,17 +291,17 @@ func (h *md5Hash) MarshalBinary() ([]byte, error) {
 }
 
 func (h *md5Hash) UnmarshalBinary(b []byte) error {
-	if len(b) < len(sha5Magic) || string(b[:len(sha5Magic)]) != sha5Magic {
-		return errors.New("crypto/sha1: invalid hash state identifier")
+	if len(b) < len(md5Magic) || string(b[:len(md5Magic)]) != md5Magic {
+		return errors.New("crypto/md5: invalid hash state identifier")
 	}
-	if len(b) != sha5MarshaledSize {
-		return errors.New("crypto/sha1: invalid hash state size")
+	if len(b) != md5MarshaledSize {
+		return errors.New("crypto/md5: invalid hash state size")
 	}
 	d := (*md5State)(h.shaState())
 	if d == nil {
-		return errors.New("crypto/sha1: can't retrieve hash state")
+		return errors.New("crypto/md5: can't retrieve hash state")
 	}
-	b = b[len(sha5Magic):]
+	b = b[len(md5Magic):]
 	b, d.h[0] = consumeUint32(b)
 	b, d.h[1] = consumeUint32(b)
 	b, d.h[2] = consumeUint32(b)