diff --git a/crypto/crypto.go b/crypto/crypto.go
index 1c4d5a2e0..76d1ffaf6 100644
--- a/crypto/crypto.go
+++ b/crypto/crypto.go
@@ -35,8 +35,8 @@ import (
 )
 
 var (
-	secp256k1_N, _  = new(big.Int).SetString("fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", 16)
-	secp256k1_halfN = new(big.Int).Div(secp256k1_N, big.NewInt(2))
+	secp256k1N, _  = new(big.Int).SetString("fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", 16)
+	secp256k1halfN = new(big.Int).Div(secp256k1N, big.NewInt(2))
 )
 
 // Keccak256 calculates and returns the Keccak256 hash of the input data.
@@ -68,7 +68,7 @@ func Keccak512(data ...[]byte) []byte {
 	return d.Sum(nil)
 }
 
-// Creates an ethereum address given the bytes and the nonce
+// CreateAddress creates an ethereum address given the bytes and the nonce
 func CreateAddress(b common.Address, nonce uint64) common.Address {
 	data, _ := rlp.EncodeToBytes([]interface{}{b, nonce})
 	return common.BytesToAddress(Keccak256(data)[12:])
@@ -99,7 +99,7 @@ func toECDSA(d []byte, strict bool) (*ecdsa.PrivateKey, error) {
 	priv.D = new(big.Int).SetBytes(d)
 
 	// The priv.D must < N
-	if priv.D.Cmp(secp256k1_N) >= 0 {
+	if priv.D.Cmp(secp256k1N) >= 0 {
 		return nil, fmt.Errorf("invalid private key, >=N")
 	}
 	// The priv.D must not be zero or negative.
@@ -184,11 +184,11 @@ func ValidateSignatureValues(v byte, r, s *big.Int, homestead bool) bool {
 	}
 	// reject upper range of s values (ECDSA malleability)
 	// see discussion in secp256k1/libsecp256k1/include/secp256k1.h
-	if homestead && s.Cmp(secp256k1_halfN) > 0 {
+	if homestead && s.Cmp(secp256k1halfN) > 0 {
 		return false
 	}
 	// Frontier: allow s to be in full N range
-	return r.Cmp(secp256k1_N) < 0 && s.Cmp(secp256k1_N) < 0 && (v == 0 || v == 1)
+	return r.Cmp(secp256k1N) < 0 && s.Cmp(secp256k1N) < 0 && (v == 0 || v == 1)
 }
 
 func PubkeyToAddress(p ecdsa.PublicKey) common.Address {
diff --git a/crypto/crypto_test.go b/crypto/crypto_test.go
index 835035462..804de3fe2 100644
--- a/crypto/crypto_test.go
+++ b/crypto/crypto_test.go
@@ -154,7 +154,7 @@ func TestValidateSignatureValues(t *testing.T) {
 	minusOne := big.NewInt(-1)
 	one := common.Big1
 	zero := common.Big0
-	secp256k1nMinus1 := new(big.Int).Sub(secp256k1_N, common.Big1)
+	secp256k1nMinus1 := new(big.Int).Sub(secp256k1N, common.Big1)
 
 	// correct v,r,s
 	check(true, 0, one, one)
@@ -181,9 +181,9 @@ func TestValidateSignatureValues(t *testing.T) {
 	// correct sig with max r,s
 	check(true, 0, secp256k1nMinus1, secp256k1nMinus1)
 	// correct v, combinations of incorrect r,s at upper limit
-	check(false, 0, secp256k1_N, secp256k1nMinus1)
-	check(false, 0, secp256k1nMinus1, secp256k1_N)
-	check(false, 0, secp256k1_N, secp256k1_N)
+	check(false, 0, secp256k1N, secp256k1nMinus1)
+	check(false, 0, secp256k1nMinus1, secp256k1N)
+	check(false, 0, secp256k1N, secp256k1N)
 
 	// current callers ensures r,s cannot be negative, but let's test for that too
 	// as crypto package could be used stand-alone
diff --git a/crypto/secp256k1/curve.go b/crypto/secp256k1/curve.go
index f51be5e35..6fdf2be6a 100644
--- a/crypto/secp256k1/curve.go
+++ b/crypto/secp256k1/curve.go
@@ -77,7 +77,7 @@ func (BitCurve *BitCurve) Params() *elliptic.CurveParams {
 	}
 }
 
-// IsOnBitCurve returns true if the given (x,y) lies on the BitCurve.
+// IsOnCurve returns true if the given (x,y) lies on the BitCurve.
 func (BitCurve *BitCurve) IsOnCurve(x, y *big.Int) bool {
 	// y² = x³ + b
 	y2 := new(big.Int).Mul(y, y) //y²
diff --git a/crypto/secp256k1/secp256_test.go b/crypto/secp256k1/secp256_test.go
index f6582ecd5..b608bcfcf 100644
--- a/crypto/secp256k1/secp256_test.go
+++ b/crypto/secp256k1/secp256_test.go
@@ -49,7 +49,7 @@ func randSig() []byte {
 // tests for malleability
 // highest bit of signature ECDSA s value must be 0, in the 33th byte
 func compactSigCheck(t *testing.T, sig []byte) {
-	var b int = int(sig[32])
+	var b = int(sig[32])
 	if b < 0 {
 		t.Errorf("highest bit is negative: %d", b)
 	}
diff --git a/crypto/signature_nocgo.go b/crypto/signature_nocgo.go
index f636b2377..e8fa18ed4 100644
--- a/crypto/signature_nocgo.go
+++ b/crypto/signature_nocgo.go
@@ -88,7 +88,7 @@ func VerifySignature(pubkey, hash, signature []byte) bool {
 		return false
 	}
 	// Reject malleable signatures. libsecp256k1 does this check but btcec doesn't.
-	if sig.S.Cmp(secp256k1_halfN) > 0 {
+	if sig.S.Cmp(secp256k1halfN) > 0 {
 		return false
 	}
 	return sig.Verify(hash, key)