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The decomposition of an integer number to the product of other integers. Algorithms such as RSA are based on the premise that no practical way has been found was to factorize large integers when they have been produced by multiplying two large primes.
2
votes
ROCA Implementation, Coppersmith Algorithm does not return roots
At the end of the function coppersmith_howgrave_univariate, you have
if gcd(modulus, result) >= modulus ^ beta:
You created $f$ as
$$
f(x) = x + (M'^{-1} \bmod N)(65537^{a'}\bmod M),
$$
so when yo …