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Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis

Yasuyuki NOGAMI, Ryo NAMBA, Yoshitaka MORIKAWA

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Summary :

This paper proposes a method to construct a basis conversion matrix between two given bases in Fpm. In the proposed method, Gauss period normal basis (GNB) works as a bridge between the two bases. The proposed method exploits this property and construct a basis conversion matrix mostly faster than EDF-based algorithm on average in polynomial time. Finally, simulation results are reported in which the proposed method compute a basis conversion matrix within 30 msec on average with Celeron (2.00 GHz) when mlog p≈160.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.6 pp.1500-1507
Publication Date
2009/06/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E92.A.1500
Type of Manuscript
PAPER
Category
Information Theory

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