Construction of Extremal Type II Codes over ℤ4

Philippe Gaborit, Masaaki Harada

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we give a pseudo-random method to construct extremal Type II codes over ℤ4;. As an application, we give a number of new extremal Type II codes of lengths 24, 32 and 40, constructed from some extremal doubly-even self-dual binary codes. The extremal Type II codes of length 24 have the property that the supports of the codewords of Hamming weight 10 form 5-(24, 10, 36) designs. It is also shown that every extremal doubly-even self-dual binary code of length 32 can be considered as the residual code of an extremal Type II code over ℤ4.

Original languageEnglish
Pages (from-to)257-269
Number of pages13
JournalDesigns, Codes, and Cryptography
Volume16
Issue number3
DOIs
Publication statusPublished - 1999 Jan 1
Externally publishedYes

Keywords

  • Extremal codes and type II codes
  • Self-dual codes over ℤ

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Construction of Extremal Type II Codes over ℤ<sub>4</sub>'. Together they form a unique fingerprint.

  • Cite this