Toward Efficient Multiplication Algorithms over Finite Fields in Lagrange Representation

Abstract:

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In this paper, we present a representative theory for finite fields called the Lagrange Representation recently initialized by Bajard et al. Our contribution is of introducing a new method for computing the leading coefficient of an arbitrary field polynomial, and establishing a field modular multiplication algorithm. Some concrete examples are given in order to emphasize illustration of the method.

Info:

Periodical:

Edited by:

Qi Luo

Pages:

323-327

DOI:

10.4028/www.scientific.net/AMM.20-23.323

Citation:

M. L. Qi et al., "Toward Efficient Multiplication Algorithms over Finite Fields in Lagrange Representation", Applied Mechanics and Materials, Vols. 20-23, pp. 323-327, 2010

Online since:

January 2010

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Price:

$35.00

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