如何使用golang使用ecdsa私钥签署消息



我正试图使用cosmos sdk在通过hd钱包私钥生成的go中对消息进行签名。以下是python中的等效实现,它在提交/验证时按预期生成签名消息/签名。它正常工作,但无法使用Go实现。对于python实现的等效golang版本的任何输入都非常感谢。非常感谢。

Python版本使用sha256、ecdsa,但当使用等效的cyrpto/edsa时,不会返回有效的签名。

Python

def test_sign_message(self):
""" Tests the ability of the signer to sing message """

# Loading up the signer object to use for the operation
signer: TestSigners = TestSigners.from_mnemonic("blast about old claw current first paste risk involve victory edit current")
sample_payload_to_sign = "75628d14409a5126e6c882d05422c06f5eccaa192c082a9a5695a8e707109842'
# print("test".encode("UTF-8").hex())
s = signer.sign(sample_payload_to_sign)
print(s)

from typing import List, Tuple, Dict, Union, Any
from hdwallet.hdwallet import HDWallet
from ecdsa.util import sigencode_der
from ecdsa.curves import SECP256k1
from ecdsa.keys import SigningKey
import mnemonic
import hashlib
import ecdsa

class TestSigners():
HD_WALLET_PARAMS: Dict[str, Tuple[int, bool]] = {
"purpose": (44, True),
"coinType": (1022, True),
"account": (0, True),
"change": (0, False),
}
def __init__(
self,
seed: Union[bytes, bytearray, str]
) -> None:
""" Instantiates a new signer object from the seed phrase
Args:
seed (Union[bytes, bytearray, str]): The seed phrase used to generate the public and
private keys.
"""
self.seed: Union[bytes, bytearray] = seed if isinstance(seed, (bytes, bytearray)) else bytearray.fromhex(seed)
@classmethod
def from_mnemonic(
cls,
mnemonic_phrase: Union[str, List[str], Tuple[str]]
) -> 'Signer':
"""
Instantiates a new Signer object from the mnemonic phrase passed.
Args:
mnemonic_phrase (Union[str, :obj:`list` of :obj:`str`, :obj:`tuple` of :obj:`str`):
A string, list, or a tuple of the mnemonic phrase. If the argument is passed as an
iterable, then it will be joined with a space.
Returns:
Signer: A new signer initalized through the mnemonic phrase.
"""
# If the supplied mnemonic phrase is a list then convert it to a string
if isinstance(mnemonic_phrase, (list, tuple)):
mnemonic_string: str = " ".join(mnemonic_phrase)
else:
mnemonic_string: str = mnemonic_phrase
mnemonic_string: str = " ".join(mnemonic_phrase) if isinstance(mnemonic_phrase,
 (list, tuple)) else mnemonic_phrase
return cls(mnemonic.Mnemonic.to_seed(mnemonic_string))
def public_key(
self,
index: int = 0
) -> str:
"""
Gets the public key for the signer for the specified account index
Args:
index (int): The account index to get the public keys for.
Returns:
str: A string of the public key for the wallet
"""
return str(self.hdwallet(index).public_key())
def private_key(
self,
index: int = 0
) -> str:
"""
Gets the private key for the signer for the specified account index
Args:
index (int): The account index to get the private keys for.
Returns:
str: A string of the private key for the wallet
"""
return str(self.hdwallet(index).private_key())
def hdwallet(
self,
index: int = 0
) -> HDWallet:
"""
Creates an HDWallet object suitable for the Radix blockchain with the passed account index.
Args:
index (int): The account index to create the HDWallet object for.
Returns:
HDWallet: An HD wallet object created with the Radix Parameters for a given account
index.
"""
hdwallet: HDWallet = HDWallet()
hdwallet.from_seed(seed=self.seed.hex())
for _, values_tuple in self.HD_WALLET_PARAMS.items():
value, hardened = values_tuple
hdwallet.from_index(value, hardened=hardened)
hdwallet.from_index(index, True)
return hdwallet
def sign(
self,
data: str,
index: int = 0
) -> str:
"""
Signs the given data using the private keys for the account at the specified account index.
Arguments:
data (str): A string of the data which we wish to sign.
index (int): The account index to get the private keys for.
Returns:
str: A string of the signed data
"""
signing_key: SigningKey = ecdsa.SigningKey.from_string(  # type: ignore
string=bytearray.fromhex(self.private_key(index)),
curve=SECP256k1,
hashfunc=hashlib.sha256
)
return signing_key.sign_digest(  # type: ignore
digest=bytearray.fromhex(data),
sigencode=sigencode_der
).hex()

GO(不工作(

package main
import (
"encoding/hex"
"fmt"
"log"
"github.com/cosmos/cosmos-sdk/crypto/hd"
"github.com/cosmos/go-bip39"
"github.com/decred/dcrd/bech32"
"github.com/tendermint/tendermint/crypto/secp256k1"
)
func main() {
seed := bip39.NewSeed("blast about old claw current first paste risk involve victory edit current", "")
fmt.Println("Seed: ", hex.EncodeToString(seed)) // Seed:  dd5ffa7088c0fa4c665085bca7096a61e42ba92e7243a8ad7fbc6975a4aeea1845c6b668ebacd024fd2ca215c6cd510be7a9815528016af3a5e6f47d1cca30dd
master, ch := hd.ComputeMastersFromSeed(seed)
path := "m/44'/1022'/0'/0/0'"
priv, err := hd.DerivePrivateKeyForPath(master, ch, path)
if err != nil {
t.Fatal(err)
}
fmt.Println("Derivation Path: ", path)                 // Derivation Path:  m/44'/118'/0'/0/0'
fmt.Println("Private Key: ", hex.EncodeToString(priv)) // Private Key:  69668f2378b43009b16b5c6eb5e405d9224ca2a326a65a17919e567105fa4e5a
var privKey = secp256k1.PrivKey(priv)
pubKey := privKey.PubKey()
fmt.Println("Public Key: ", hex.EncodeToString(pubKey.Bytes())) // Public Key:  03de79435cbc8a799efc24cdce7d3b180fb014d5f19949fb8d61de3f21b9f6c1f8
//str := "test"
str := "75628d14409a5126e6c882d05422c06f5eccaa192c082a9a5695a8e707109842"
//hx := hex.EncodeToString([]byte(str))
//fmt.Println(hx)
sign, err := privKey.Sign([]byte(str))
if err != nil {
return
}
fmt.Println(hex.EncodeToString(sign))
}

两个代码都返回作为私钥编码的十六进制

33f34dad4bc0ce9dc320863509aed43cab33a93a29752779ae0df6dbbea33e56

并作为压缩公钥

026557fe37d5cab1cc8edf474f4baff67dbb2305f1764e42d31b09f83296f5de2b

由于两个代码都提供相同的密钥,因此问题必须在于签名!


作为对test的UTF8编码进行签名的测试消息,其SHA256哈希是十六进制编码的9f86d081884c7d659a2feaa0c55ad015a3bf4f1b2b0b822cd15d6c15b0f00a08

备注1:如果如注释中所述使用SHA256哈希,则test的SHA256哈希将用作测试消息,而不是test。除此之外,进一步的处理是相同的。

Python和Go代码目前不兼容,因为它们的签名和签名格式不同:

关于签名:在Python代码中,传递散列消息。这是正确的,因为sign_digest()不会对消息进行散列(请参阅此处(,因此对散列后的消息进行了签名
相反,Go代码中的sign()对消息进行散列处理(请参阅此处(,因此必须传递消息本身,以便处理在功能上与Python代码相同。
  • 关于签名格式:Python代码使用ASN.1/DER格式,而Go代码使用IEEE P1363格式
    因此,必须在Go代码中执行从IEEE P1363到ASN.1/DER的转换:

  • 有了这个,固定的Go代码是:

    package main
    import (
    "encoding/hex"
    "fmt"
    "math/big"
    "github.com/cosmos/cosmos-sdk/crypto/hd"
    "github.com/cosmos/go-bip39"
    "github.com/tendermint/tendermint/crypto/secp256k1"
    //"github.com/btcsuite/btcd/btcec"
    "golang.org/x/crypto/cryptobyte"
    "golang.org/x/crypto/cryptobyte/asn1"
    )
    func main() {
    //
    // Derive private and public key (this part works)
    //
    seed := bip39.NewSeed("blast about old claw current first paste risk involve victory edit current", "")
    fmt.Println("Seed: ", hex.EncodeToString(seed)) // Seed:  dd5ffa7088c0fa4c665085bca7096a61e42ba92e7243a8ad7fbc6975a4aeea1845c6b668ebacd024fd2ca215c6cd510be7a9815528016af3a5e6f47d1cca30dd
    master, ch := hd.ComputeMastersFromSeed(seed)
    path := "m/44'/1022'/0'/0/0'"
    priv, _ := hd.DerivePrivateKeyForPath(master, ch, path)
    fmt.Println("Derivation Path: ", path)                 // Derivation Path:  m/44'/1022'/0'/0/0'
    fmt.Println("Private Key: ", hex.EncodeToString(priv)) // Private Key:  33f34dad4bc0ce9dc320863509aed43cab33a93a29752779ae0df6dbbea33e56
    var privKey = secp256k1.PrivKey(priv)
    pubKey := privKey.PubKey()
    fmt.Println("Public Key: ", hex.EncodeToString(pubKey.Bytes())) // Public Key:  026557fe37d5cab1cc8edf474f4baff67dbb2305f1764e42d31b09f83296f5de2b
    //
    // Sign (this part needs to be fixed)
    //
    data := "test"
    signature, _ := privKey.Sign([]byte(data))
    fmt.Println(hex.EncodeToString(signature))
    rVal := new(big.Int)
    rVal.SetBytes(signature[0:32])
    sVal := new(big.Int)
    sVal.SetBytes(signature[32:64])
    var b cryptobyte.Builder
    b.AddASN1(asn1.SEQUENCE, func(b *cryptobyte.Builder) {
    b.AddASN1BigInt(rVal)
    b.AddASN1BigInt(sVal)
    })
    signatureDER, _ := b.Bytes()
    fmt.Println("Signature, DER: ", hex.EncodeToString(signatureDER))
    /*
    hash, _ := hex.DecodeString("9f86d081884c7d659a2feaa0c55ad015a3bf4f1b2b0b822cd15d6c15b0f00a08")
    // Sign without hashing
    privateKey, _ := btcec.PrivKeyFromBytes(btcec.S256(), priv)
    signature, _ := privateKey.Sign(hash[:])
    // Convert to ASN1/DER
    rVal := new(big.Int)
    rVal.SetBytes(signature.R.Bytes())
    sVal := new(big.Int)
    sVal.SetBytes(signature.S.Bytes())
    var b cryptobyte.Builder
    b.AddASN1(asn1.SEQUENCE, func(b *cryptobyte.Builder) {
    b.AddASN1BigInt(rVal)
    b.AddASN1BigInt(sVal)
    })
    signatureDER, _ := b.Bytes()
    fmt.Println("Signature, DER: ", hex.EncodeToString(signatureDER))
    */
    }
    

    备注2:如果Go代码中没有原始消息,而只有哈希,则需要一个不哈希的函数进行签名
    tendermint/crypto/secp256k1软件包不支持此功能,但tendermint/crypto/secp256k1在内部使用btcsuite/btcd/btcec
    这是在注释掉的代码中实现的。

    输出为:

    Seed:  dd5ffa7088c0fa4c665085bca7096a61e42ba92e7243a8ad7fbc6975a4aeea1845c6b668ebacd024fd2ca215c6cd510be7a9815528016af3a5e6f47d1cca30dd
    Derivation Path:  m/44'/1022'/0'/0/0'
    Private Key:  33f34dad4bc0ce9dc320863509aed43cab33a93a29752779ae0df6dbbea33e56
    Public Key:  026557fe37d5cab1cc8edf474f4baff67dbb2305f1764e42d31b09f83296f5de2b
    57624717f71fae8b5917cde0f82dfe6c2e2104183ba01c6a1c9f0a8e66d3303e5035b52876d833522aace232c1d231b3aeeff303cf02d1677a240102365ce71b
    Signature, DER:  3044022057624717f71fae8b5917cde0f82dfe6c2e2104183ba01c6a1c9f0a8e66d3303e02205035b52876d833522aace232c1d231b3aeeff303cf02d1677a240102365ce71b
    

    测试:

    由于Python代码生成一个不确定的签名,因此无法通过比较签名进行验证
    相反,一种可能的测试是用相同的验证码检查两个代码的签名
    为此,在Python代码的方法sign()中,行

    return signing_key.sign_digest(  # type: ignore
    digest=bytearray.fromhex(data),
    sigencode=sigencode_der
    ).hex()
    

    可以被取代

    from ecdsa.util import sigdecode_der 
    signature = signing_key.sign_digest(  # from Python Code
    digest=bytearray.fromhex(data),
    sigencode=sigencode_der
    )
    #signature = bytes.fromhex('3044022057624717f71fae8b5917cde0f82dfe6c2e2104183ba01c6a1c9f0a8e66d3303e02205035b52876d833522aace232c1d231b3aeeff303cf02d1677a240102365ce71b') # from Go code    
    verifying_key = signing_key.verifying_key
    verified = verifying_key.verify_digest(signature, digest=bytearray.fromhex(data), sigdecode=sigdecode_der)
    print(verified)
    return signature.hex()
    

    测试表明,Python和Go代码签名都得到了成功验证,证明了使用Go代码生成的签名是有效的。


    备注3:Python代码生成非确定性签名,即即使输入数据相同,签名也不同
    相反,Go代码生成一个确定性签名,即对于相同的输入数据,签名是相同的(请参阅此处(。

    如果Go代码也应该生成非确定性签名,则必须在Go端使用其他库(但这实际上可能没有必要,因为非确定性和确定性变体是已建立的算法,并根据上述测试生成有效签名(。

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