New Extremal Type II Codes over ℤ4

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Recently Type II codes over ℤ4, have been introduced as self-dual codes containing the all-one vector with the property that all Euclidean weights are divisible by eight. The notion of extremality for the Euclidean weight has been also given. In this paper, we give two methods for constructing Type II codes over ℤ4. By these methods, new extremal Type II codes of lengths 16, 24, 32 and 40 are constructed from weighing matrices.

Original languageEnglish
Pages (from-to)271-284
Number of pages14
JournalDesigns, Codes, and Cryptography
Volume13
Issue number3
DOIs
Publication statusPublished - 1998 Jan 1
Externally publishedYes

Keywords

  • External codes and Type II codes
  • Self-dual codes over ℤ

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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