Finding a basis conversion matrix via prime gauss period normal basis

Yasuyuki Nogami, Ryo Namba, Yoshitaka Morikawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 languageEnglish
Pages (from-to)1500-1507
Number of pages8
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number6
Publication statusPublished - Jan 1 2009


  • 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


Dive into the research topics of 'Finding a basis conversion matrix via prime gauss period normal basis'. Together they form a unique fingerprint.

Cite this