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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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2. RSA-240 factorization

The main steps of the algebraic screen can be divided as follows. The proximity between the algebraic screen for factoring an integer n, and the algebraic screen for calculating discrete logarithms in is such that this list is relevant in both situations:

  • the polynomial selection stage. This involves selecting a pair of irreducible polynomials with integer coefficients, denoted

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