On Inversion Algorithms over Optimal Extension Fields Using Lagrange Representation

Abstract:

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We present, illustrate and analyze some basic notions of the Lagrange Representation (LR) over finite fields, and elementary theory of Optimal Extension Fields. In combining the Lagrange Representation theory and the Frobenius mapping theorem, we could establish an inversion algorithm in the LR version. Our contribution is of adapting an addition-chain-like method over an Optimal Extension Field to the Lagrange Representation.

Info:

Periodical:

Edited by:

Qi Luo

Pages:

277-282

DOI:

10.4028/www.scientific.net/AMM.20-23.277

Citation:

M. L. Qi et al., "On Inversion Algorithms over Optimal Extension Fields Using Lagrange Representation ", Applied Mechanics and Materials, Vols. 20-23, pp. 277-282, 2010

Online since:

January 2010

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Price:

$35.00

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