Optimal double circulant ℤ4-codes

T. Aaron Gulliver, Masaaki Harada

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

2 Citations (Scopus)

Abstract

Recently, an optimal formally self-dual ℤ4-code of length 14 and minimum Lee weight 6 has been found using the double circulant construction by Duursma, Greferath and Schmidt. In this paper, we classify all optimal double circulant ℤ4-codes up to length 32. In addition, double circulant codes with the largest minimum Lee weights for this class of codes are presented for lengths up to 32.

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
Pages122-128
Number of pages7
ISBN (Print)9783540456247
DOIs
Publication statusPublished - 2001
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

    Aaron Gulliver, T., & Harada, M. (2001). Optimal double circulant ℤ4-codes. In S. Boztas, & I. E. Shparlinski (Eds.), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings (pp. 122-128). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2227). Springer Verlag. https://doi.org/10.1007/3-540-45624-4_13