Self-dual Z4-codes and Hadamard matrices

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4 Citations (Scopus)

Abstract

In this note, we investigate Type I codes over J.t constructed from Hadamard matrices. As an application, we construct a Type I Z4-code with minimum Euclidean weight 16 of length 40. This code is the first example of such a Type I Z-i-code. This code also gives an example of a 40-dimensional extremal odd unimodular lattice with minimum norm 4.

Original languageEnglish
Pages (from-to)273-278
Number of pages6
JournalDiscrete Mathematics
Volume245
Issue number1-3
DOIs
Publication statusPublished - 2002 Feb 28
Externally publishedYes

Keywords

  • Hadamard matrices
  • Self-dual codes over Z
  • Type I codes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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