Classification of Self-dual Codes of Length 20 over Z4 and Length at Most 18 over F2+uF2

Rowena Alma L. Betty, Akihiro Munemasa

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

Abstract

In this paper, we give a precise description of Rains’ algorithm for classifying self-dual Z4-codes with a given residue code. We will use this to classify self-dual Z4-codes of length 20. A similar method is used to classify self-dual codes over F2+uF2. We will update the table given by Han, Lee and Lee, of the data regarding the classification of self-dual codes over F2+uF2.

Original languageEnglish
Title of host publicationCryptography and Coding - 17th IMA International Conference, IMACC 2019, Proceedings
EditorsMartin Albrecht
PublisherSpringer
Pages64-77
Number of pages14
ISBN (Print)9783030351984
DOIs
Publication statusPublished - 2019 Jan 1
Event17th IMA International Conference on Cryptography and Coding, IMACC 2019 - Oxford, United Kingdom
Duration: 2019 Dec 162019 Dec 18

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11929 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference17th IMA International Conference on Cryptography and Coding, IMACC 2019
CountryUnited Kingdom
CityOxford
Period19/12/1619/12/18

Keywords

  • Automorphism group
  • Self-dual code
  • Self-orthogonal code

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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