A method for constructing a pseudo self-dual normal basis

Hiroaki Nasu, Yasuyuki Nogami, Satoshi Uehara, Ryo Namba, Yoshitaka Morikawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Self-dual normal basis is efficient for the arithmetic operations in extension field and especially trace calculation. However, self-dual normal bases do not exist in [image omitted] when characteristic p is odd and degree m is even. This paper proposes a method to construct an efficient normal basis for trace calculation when extension degree is even. In this paper, we call it pseudo self-dual normal basis.

Original languageEnglish
Pages (from-to)563-582
Number of pages20
JournalCybernetics and Systems
Volume39
Issue number6
DOIs
Publication statusPublished - Aug 2008

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Human-Computer Interaction

Cite this

A method for constructing a pseudo self-dual normal basis. / Nasu, Hiroaki; Nogami, Yasuyuki; Uehara, Satoshi; Namba, Ryo; Morikawa, Yoshitaka.

In: Cybernetics and Systems, Vol. 39, No. 6, 08.2008, p. 563-582.

Research output: Contribution to journalArticle

Nasu, Hiroaki ; Nogami, Yasuyuki ; Uehara, Satoshi ; Namba, Ryo ; Morikawa, Yoshitaka. / A method for constructing a pseudo self-dual normal basis. In: Cybernetics and Systems. 2008 ; Vol. 39, No. 6. pp. 563-582.
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