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Recent Advances in Parallel Implementations of Scalar Multiplication over Binary Elliptic Curves

Christophe Negre 1, 2 Jean-Marc Robert 1, 2 
2 DALI - Digits, Architectures et Logiciels Informatiques
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, UPVD - Université de Perpignan Via Domitia
Abstract : The scalar multiplication is the main operation of cryptographic protocols based on elliptic curve. In the past few years, software implementations of scalar multiplication over binary elliptic curves have made some important progress. The new generations of Intel processors (Core i3,i5,7) provide a new instruction PCLMULQDQ which computes the product of 64bit binary polynomials which makes possible to speed-up the arithmetic in GF(2^m). The other improvements are due to new approaches for parallel implementation. We will review some recent results on parallel implementations based on GLV/GLS approach and on point halving.
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Submitted on : Monday, April 13, 2015 - 5:18:58 PM
Last modification on : Tuesday, March 15, 2022 - 12:55:39 PM

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  • HAL Id : hal-01141628, version 1

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Christophe Negre, Jean-Marc Robert. Recent Advances in Parallel Implementations of Scalar Multiplication over Binary Elliptic Curves. RAIM: Rencontres Arithmétiques de l’Informatique Mathématique, A.Tisserand; D. Menard; S. Duquesne; S. Collange; N. SaintPierre, Apr 2015, Rennes, France. ⟨hal-01141628⟩

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