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Reports (Research Report) Year : 2007

Faster Multiplication in GF(2)[x]

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.
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Dates and versions

inria-00188261 , version 1 (16-11-2007)
inria-00188261 , version 2 (19-11-2007)
inria-00188261 , version 3 (19-11-2007)
inria-00188261 , version 4 (07-11-2008)

Identifiers

  • HAL Id : inria-00188261 , version 2

Cite

Richard P. Brent, Pierrick Gaudry, Emmanuel Thomé, Paul Zimmermann. Faster Multiplication in GF(2)[x]. [Research Report] RR-6359, 2007. ⟨inria-00188261v2⟩
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