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

Nicolas David 1 Paul Zimmermann 2
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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https://hal.inria.fr/hal-02151093
Contributor : Paul Zimmermann <>
Submitted on : Friday, June 7, 2019 - 4:44:48 PM
Last modification on : Sunday, June 9, 2019 - 1:19:00 AM

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  • HAL Id : hal-02151093, version 1

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Nicolas David, Paul Zimmermann. A New Ranking Function for Polynomial Selection in the Number Field Sieve. 2019. ⟨hal-02151093⟩

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