On the classification of ℤ4-codes

Makoto Araya, Masaaki Harada, Hiroki Ito, Ken Saito

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Abstract

In this note, we study the classification of ℤ4-codes. For some special cases (k1; k2), by hand, we give a classification of ℤ4-codes of length n and type 4k12k2 satisfying a certain condition. Our exhaustive computer search completes the classification of ℤ4-codes of lengths up to 7.

Original languageEnglish
Pages (from-to)747-756
Number of pages10
JournalAdvances in Mathematics of Communications
Volume11
Issue number4
DOIs
Publication statusPublished - 2017 Nov

Keywords

  • Generator matrix
  • Weight enumerator
  • ℤ-code

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computer Networks and Communications
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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