Finding a basis conversion matrix via prime gauss period normal basis

Yasuyuki Nogami; Ryo Namba; Yoshitaka Morikawa

doi:10.1587/transfun.E92.A.1500

Finding a basis conversion matrix via prime gauss period normal basis

Yasuyuki Nogami, Ryo Namba, Yoshitaka Morikawa

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper proposes a method to construct a basis conversion matrix between two given bases in F _pm . 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.

Original language	English
Pages (from-to)	1500-1507
Number of pages	8
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E92-A
Issue number	6
DOIs	https://doi.org/10.1587/transfun.E92.A.1500
Publication status	Published - Jan 1 2009

Keywords

Basis conversion
Extension field
Gauss period normal basis
Public key cryptography

ASJC Scopus subject areas

Signal Processing
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering
Applied Mathematics

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AU - Nogami, Yasuyuki

AU - Namba, Ryo

AU - Morikawa, Yoshitaka

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N2 - This paper proposes a method to construct a basis conversion matrix between two given bases in F pm . 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.

AB - This paper proposes a method to construct a basis conversion matrix between two given bases in F pm . 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.

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KW - Extension field

KW - Gauss period normal basis

KW - Public key cryptography

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Finding a basis conversion matrix via prime gauss period normal basis

Abstract

Keywords

ASJC Scopus subject areas

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