Some hadamard matrices of order 32 and their binary codes

Makoto Araya, Masaaki Harada, Hadi Kharaghani

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

It is known that all doubly-even self-dual codes of lengths 8 or 16, and the extended Golay code, can be constructed from some binary Hadamard matrix of orders 8, 16, and 24, respectively. In this note, we demonstrate that every extremal doubly-even self-dual [32,16,8] code can be constructed from some binary Hadamard matrix of order 32.

Original languageEnglish
Pages (from-to)142-146
Number of pages5
JournalJournal of Combinatorial Designs
Volume12
Issue number2
DOIs
Publication statusPublished - 2004 Dec 1
Externally publishedYes

Keywords

  • 2-rank
  • Exteremal doubly-even self-dual code
  • Hadamard design
  • Hadamard matrix

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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