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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.
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How ROCA get the polynomial used with coppersmith
One of the important part of the attack is to find $f$ such as $f(x) \equiv 0\bmod p$.
First, you reduce $f(x)= x + (M^{-1} \bmod N) * (65537^{a} \bmod M)$ modulo $N$, to get a smaller coefficient (w …