Quote from: krashfire on Today at 10:20:15 AM

Python code for those of you who are looking to create 100 or more R,s,z signatures. The sigs are created via the public key.

However, it is important to note that these signatures would not be unique and would not have any real-world meaning or value. Here is an example in Python using the cryptography library:

Code:

import os
import hashlib
from cryptography.hazmat.backends import default_backend
from cryptography.hazmat.primitives import hashes
from cryptography.hazmat.primitives.asymmetric import ec

private_key = ec.generate_private_key(ec.SECP256K1(), default_backend())
public_key = private_key.public_key()

for i in range(100):
   data = os.urandom(32)
   signature = private_key.sign(data, ec.ECDSA(hashes.SHA256()))

   # Extract the values of 'r', 's', 'z' from the signature
   r, s = signature
   z = int.from_bytes(hashlib.sha256(data).digest(), 'big')

   # Print the values of 'r', 's', 'z'
   print("r:", r)
   print("s:", s)
   print("z:", z)

If you need to make more, change the 100 here to any amount you need.

Code:

for i in range(100):

Just giving you guys a little help.

Cheers.

And here is the code to generate 100 signatures with k nonce reveal.

Code:

import ecdsa
import random

# Define the secp256k1 curve
curve = ecdsa.SECP256k1

# Generate 100 random private keys
private_keys = [ecdsa.SigningKey.generate(curve=curve) for i in range(100)]

# Create signatures using the private keys and random messages (z)
signatures = []
for i in range(100):
z = random.randint(0, 2**256)
private_key = private_keys[i]
public_key = private_key.get_verifying_key()
signature = private_key.sign_digest(z.to_bytes(32, 'big'), sigencode=ecdsa.util.sigencode_der)
r, s = ecdsa.util.sigdecode_der(signature, curve.generator.order())
signatures.append((z, r, s))

# Get the nonce (k) for each signature
nonce = []
for i in range(100):
z, r, s = signatures[i]
k = ecdsa. SigningKey.from_public_key(public_key, curve=curve).verifying_key.recover_session_key(z.to_bytes(32, 'big'), (r, s), hashfunc=ecdsa.util.sha256, sigdecode=ecdsa.util.sigdecode_der)
nonce.append(k)

# The 100 signatures, Z values, and nonce values are stored in the signatures, Z, and nonce lists, respectively.

What purpose does it serve? Are you trying to solve ECC problem by signature attack? What is your academic background on cryptography?

Yoshimaka

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