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Breaking DLP in $GF(p^5)$ using 3-dimensional sieving

Laurent Grémy 1 Aurore Guillevic 1 François Morain 2, 3
1 CARAMBA - Cryptology, arithmetic : algebraic methods for better algorithms
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
2 GRACE - Geometry, arithmetic, algorithms, codes and encryption
Inria Saclay - Ile de France, LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
3 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
Abstract : We report on a discrete logarithm computation in $GF(p^5)$ for a 20-decimal digit prime, using the number field sieve algorithm (NFS-DL), and a relation collection phase over degree-two polynomials, instead of the more classical degree-one case.
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Submitted on : Tuesday, July 25, 2017 - 11:40:45 AM
Last modification on : Wednesday, November 3, 2021 - 7:09:38 AM

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  • HAL Id : hal-01568373, version 1

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CNRS | X | LIX | INSMI | UNIV-LORRAINE | INRIA2 | X-LIX | LORIA-ALGO | LORIA | INRIA | UNIV-PARIS-SACLAY | X-DEP-INFO | GS-COMPUTER-SCIENCE

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Laurent Grémy, Aurore Guillevic, François Morain. Breaking DLP in $GF(p^5)$ using 3-dimensional sieving. 2017. ⟨hal-01568373⟩

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