def findA_M0():
prefix = b"\x00" + b"\xf2" + b"\x00" * (256 - 2 - 16)
c = mysrp.Client()
import time
start = time.time()
num_near_misses = 0
for count in thencount():
if count > 300 and count % 500 == 0:
now = time.time()
print_(count, "tries", now - start)
start = now
if count > 1000000:
raise ValueError("unable to find suitable value in reasonable time")
a_str = prefix + binascii.unhexlify("%032x" % count)
assert len(a_str) == 2048 / 8, (len(a_str), 2048 / 8)
a = mysrp.bytes_to_long(a_str)
A = c.one(a)
# require that the computed M1 has a leading zero
c.two(B, srpSalt, emailUTF8, srpPW)
if c._debug_M1_bytes[0:1] != b"\x00":
continue
print_("found a on count", count)
printdec("private a (normally random)", a)
printhex("private a (hex)", a_str, groups_per_line=2)
return a, A
def findA_A0():
print_("looking for 'a' that yields srpA with leading zero")
# 'a' is in [1..N-1], so 2048 bits, or 256 bytes
prefix = b"\x00" + b"\xf2" + b"\x00" * (256 - 2 - 16)
c = mysrp.Client()
import time
start = time.time()
num_near_misses = 0
# hm.. this reports an awful lot of consecutive "near-misses". But, this
# a->A transformation isn't supposed to be strong against related "keys".
for count in thencount(54231):
# this processes about 50 per second. 2^16 needs about 20 minutes.
if count > 300 and count % 500 == 0:
now = time.time()
print_(count, "tries", now - start)
start = now
if count > 1000000:
raise ValueError("unable to find suitable value in reasonable time")
a_str = prefix + binascii.unhexlify("%032x" % count)
assert len(a_str) == 2048 / 8, (len(a_str), 2048 / 8)
a = mysrp.bytes_to_long(a_str)
A = c.one(a)
if A[0:1] != b"\x00":
continue
num_near_misses += 1
# also require that the computed S has a leading zero
c.two(B, srpSalt, emailUTF8, srpPW)
if c._debug_S_bytes[0:1] != b"\x00":
print_("found good A, but not good S, on count %d (near misses=%d)" % (count, num_near_misses))
continue
print_("found a on count", count)
printdec("private a (normally random)", a)
printhex("private a (hex)", a_str, groups_per_line=2)
return a, A
def findB_any():
prefix = b"\x00" + b"\xf3" + b"\x00" * (256 - 2 - 16)
s = mysrp.Server(srpVerifier)
count = 1
b_str = prefix + binascii.unhexlify("%032x" % count)
assert len(b_str) == 2048 / 8, (len(b_str), 2048 / 8)
b = mysrp.bytes_to_long(b_str)
B = s.one(b)
printdec("private b (normally random)", b)
printhex("private b (hex)", b_str, groups_per_line=2)
return b, B
def findB_B0():
print_("looking for 'b' that yields srpB with leading zero")
prefix = b"\x00" + b"\xf3" + b"\x00" * (256 - 2 - 16)
s = mysrp.Server(srpVerifier)
for count in thencount(15):
if count > 300 and count % 500 == 0:
print_(count, "tries")
if count > 1000000:
raise ValueError("unable to find suitable value in reasonable time")
b_str = prefix + binascii.unhexlify("%032x" % count)
assert len(b_str) == 2048 / 8, (len(b_str), 2048 / 8)
b = mysrp.bytes_to_long(b_str)
B = s.one(b)
if B[0:1] != b"\x00":
continue
print_("found b on count", count)
printdec("private b (normally random)", b)
printhex("private b (hex)", b_str, groups_per_line=2)
return b, B