Note on the residue codes of self-dual ℤ4-codes having large minimum lee weights

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

It is shown that the residue code of a self-dual ℤ4 -code of length 24k (resp. 24k + 8) and minimum Lee weight 8k + 4 or 8k + 2 (resp. 8k + 8 or 8k + 6) is a binary extremal doubly even self-dual code for every positive integer k. A number of new self-dual ℤ4 -codes of length 24 and minimum Lee weight 10 are constructed using the above characterization. These codes are Type I ℤ4 -codes having the largest minimum Lee weight and the largest Euclidean weight among all Type I ℤ4 -codes of that length. In addition, new extremal Type II ℤ4 -codes of length 56 are found.

Original languageEnglish
Pages (from-to)695-706
Number of pages12
JournalAdvances in Mathematics of Communications
Volume10
Issue number4
DOIs
Publication statusPublished - 2016 Nov

Keywords

  • Binary code
  • Doubly even code
  • Lee weight
  • Self-dual code
  • ℤ -code

ASJC Scopus subject areas

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

Fingerprint

Dive into the research topics of 'Note on the residue codes of self-dual ℤ<sub>4</sub>-codes having large minimum lee weights'. Together they form a unique fingerprint.

Cite this