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A New Ranking Function for Polynomial Selection in the Number Field Sieve

Nicolas David 1 Paul Zimmermann 2
1 ENS Cachan - École normale supérieure - Cachan
2 CARAMBA - Cryptology, arithmetic : algebraic methods for better algorithms
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
Abstract : This article explains why the classical Murphy-E ranking function might fail to correctly rank polynomial pairs in the Number Field Sieve, and proposes a new ranking function.
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Submitted on : Wednesday, June 17, 2020 - 9:21:14 AM
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ENS-CACHAN | UNIV-LORRAINE | INRIA | LORIA | LORIA-ALGO | UNIV-PARIS-SACLAY | CNRS | GRID5000 | SILECS | ENS-PARIS-SACLAY | INRIA2

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Nicolas David, Paul Zimmermann. A New Ranking Function for Polynomial Selection in the Number Field Sieve. Contemporary mathematics, American Mathematical Society, 2020, 75 Years of Mathematics of Computation, 754, pp.315-325. ⟨10.1090/CONM/754/15139⟩. ⟨hal-02151093v4⟩

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