Article | REF: IN131 V2

New factorization and discrete logarithm record computations

Authors: Fabrice BOUDOT, Pierrick GAUDRY, Aurore GUILLEVIC, Nadia HENINGER, Emmanuel THOMÉ, Paul ZIMMERMANN

Publication date: January 10, 2021

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3. Calculation of a 240-digit discrete logarithm

At first glance, the NFS-DL variant of the NFS algorithm is quite similar to that used for integer factorization. Indeed, the main steps are the same (see § 2 ). In fact, some of the software bricks are entirely shared between the two variants. This is the case of the program that collects the billions of relations which, once filtered, form the matrix on which the linear algebra step is...

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Calculation of a 240-digit discrete logarithm