A method for constructing a pseudo self-dual normal basis

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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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
Issue number6
Publication statusPublished - Aug 2008

ASJC Scopus subject areas

  • Software
  • Information Systems
  • Artificial Intelligence

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