Type II codes over IF2r

Koichi Betsumiya, Masaaki Harada, Akihiro Munemasa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Motivated by the work of Pasquier and Wolfmann in 1980’s, we define Type II codes over IF2r as self-dual codes with the property that their binary images with respect to a trace-orthogonal basis are doubly-even. We give a classification of Type II codes of length 8 over IF8, IF16 and IF32. We also characterize all Type II codes whose binary images are the extended Golay [24, 12, 8] code.

Original languageEnglish
Title of host publicationApplied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings
EditorsSerdar Boztas, Igor E. Shparlinski
PublisherSpringer-Verlag
Pages102-111
Number of pages10
ISBN (Print)9783540456247
Publication statusPublished - 2001 Jan 1
Externally publishedYes
Event14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 2001 - Melbourne, Australia
Duration: 2001 Nov 262001 Nov 30

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2227
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 2001
CountryAustralia
CityMelbourne
Period01/11/2601/11/30

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Betsumiya, K., Harada, M., & Munemasa, A. (2001). Type II codes over IF2r. In S. Boztas, & I. E. Shparlinski (Eds.), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings (pp. 102-111). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2227). Springer-Verlag.