HAL - INRIA :: [inria-00188261, version 4] Faster Multiplication in GF(2)[x]

inria-00188261, version 4

Faster Multiplication in GF(2)[x]

Richard P. Brent^a^, 1, Pierrick Gaudry () ², Emmanuel Thomé () ², Paul Zimmermann () ²

ANTS-VIII 5011 (2008) 153-166

Abstract: In this paper, we discuss an implementation of various algorithms for multiplying polynomials in GF(2)[x]: variants of the window methods, Karatsuba's, Toom-Cook's, Schoenhage's and Cantor's algorithms. For most of them, we propose improvements that lead to practical speedups.

a – Australian National University
1: Mathematical Sciences Institute (MSI)
Australian National University
2: CACAO (Courbes, Algèbre, Calculs, Arithmétique des Ordinateurs) (INRIA Lorraine - LORIA)
CNRS : UMR7503 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine

inria-00188261, version 4
http://hal.inria.fr/inria-00188261
oai:hal.inria.fr:inria-00188261
From: Pierrick Gaudry <>
Submitted on: Friday, 7 November 2008 08:33:25
Updated on: Thursday, 13 November 2008 21:49:38

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DOI: 10.1007/978-3-540-79456-1

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