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Number Field Sieve algorithm for Integer factorization and Discrete log problem

asked 2023-02-05 18:57:48 +0100

anonymous user


I want to use Number Field Sieve algorithm for Integer factorization. My numbers are of the form $2^n-1$.

Also I want to use Number Field Sieve algorithm for discrete log finding in $GF(p)$, for prime $p$. Are these available in Sagemath?

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answered 2023-02-05 19:32:11 +0100

Max Alekseyev gravatar image

updated 2023-02-05 19:34:58 +0100

Unless you are into setting new records in factoring Cunningham numbers, I recommend to use which report all known factors for such numbers effortlessly. There is a module factordb-python to access those factors from Python/Sage.

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Asked: 2023-02-05 18:57:48 +0100

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Last updated: Feb 05 '23