SECP256K1 vector creation

This page documents the code that was used to generate the SECP256K1 elliptic curve test vectors as well as code used to verify them against another implementation.


The vectors are generated using a pure Python ecdsa implementation. The test messages and combinations of algorithms are derived from the NIST vector data.

import hashlib
import os
from binascii import hexlify
from collections import defaultdict

from ecdsa import SECP256k1, SigningKey
from ecdsa.util import sigdecode_der, sigencode_der

from cryptography_vectors import open_vector_file

from tests.utils import load_fips_ecdsa_signing_vectors, load_vectors_from_file

    "SHA-1": hashlib.sha1,
    "SHA-224": hashlib.sha224,
    "SHA-256": hashlib.sha256,
    "SHA-384": hashlib.sha384,
    "SHA-512": hashlib.sha512,

class TruncatedHash:
    def __init__(self, hasher):
        self.hasher = hasher

    def __call__(self, data):
        return self

    def digest(self):
        return self.hasher.digest()[: 256 // 8]

def build_vectors(fips_vectors):
    vectors = defaultdict(list)
    for vector in fips_vectors:

    for digest_algorithm, messages in vectors.items():
        if digest_algorithm not in HASHLIB_HASH_TYPES:

        yield ""
        yield "[K-256,{0}]".format(digest_algorithm)
        yield ""

        for message in messages:
            # Make a hash context
            hash_func = TruncatedHash(HASHLIB_HASH_TYPES[digest_algorithm]())

            # Sign the message using warner/ecdsa
            secret_key = SigningKey.generate(curve=SECP256k1)
            public_key = secret_key.get_verifying_key()
            signature = secret_key.sign(
                message, hashfunc=hash_func, sigencode=sigencode_der

            r, s = sigdecode_der(signature, None)

            yield "Msg = {0}".format(hexlify(message))
            yield "d = {0:x}".format(secret_key.privkey.secret_multiplier)
            yield "Qx = {0:x}".format(public_key.pubkey.point.x())
            yield "Qy = {0:x}".format(public_key.pubkey.point.y())
            yield "R = {0:x}".format(r)
            yield "S = {0:x}".format(s)
            yield ""

def write_file(lines, dest):
    for line in lines:
        print(line, file=dest)

source_path = os.path.join("asymmetric", "ECDSA", "FIPS_186-3", "SigGen.txt")
dest_path = os.path.join("asymmetric", "ECDSA", "SECP256K1", "SigGen.txt")

fips_vectors = load_vectors_from_file(
    source_path, load_fips_ecdsa_signing_vectors

with open_vector_file(dest_path, "w") as dest_file:
    write_file(build_vectors(fips_vectors), dest_file)

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cryptography was modified to support the SECP256K1 curve. Then the following python script was run to generate the vector files.

import os

from cryptography.hazmat.primitives import hashes
from cryptography.hazmat.primitives.asymmetric import ec
from cryptography.hazmat.primitives.asymmetric.utils import (

from tests.utils import load_fips_ecdsa_signing_vectors, load_vectors_from_file

    "SHA-1": hashes.SHA1,
    "SHA-224": hashes.SHA224,
    "SHA-256": hashes.SHA256,
    "SHA-384": hashes.SHA384,
    "SHA-512": hashes.SHA512,

def verify_one_vector(vector):
    digest_algorithm = vector["digest_algorithm"]
    message = vector["message"]
    x = vector["x"]
    y = vector["y"]
    signature = encode_dss_signature(vector["r"], vector["s"])

    numbers = ec.EllipticCurvePublicNumbers(x, y, ec.SECP256K1())

    key = numbers.public_key()

    verifier = key.verifier(
        signature, ec.ECDSA(CRYPTOGRAPHY_HASH_TYPES[digest_algorithm]())

def verify_vectors(vectors):
    for vector in vectors:

vector_path = os.path.join("asymmetric", "ECDSA", "SECP256K1", "SigGen.txt")

secp256k1_vectors = load_vectors_from_file(
    vector_path, load_fips_ecdsa_signing_vectors


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