On hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p

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Abstract

In this paper, we investigate Hadamard matrices of order 2(p + 1) with an automorphism of odd prime order p. In particular, the classification of such Hadamard matrices for the cases p 19 and 23 is given. Self-dual codes related to such Hadamard matrices are also investigated.

Original languageEnglish
Pages (from-to)367-380
Number of pages14
JournalJournal of Combinatorial Designs
Volume11
Issue number5
DOIs
Publication statusPublished - 2003 Dec 1
Externally publishedYes

Keywords

  • Automorphism
  • Hadamard design
  • Hadamard matrix
  • Self-dual code

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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