Orthogonal designs, self-dual codes, and the Leech lattice

Masaaki Harada, Hadi Kharaghani

研究成果: Article

4 引用 (Scopus)

抜粋

Symmetric designs and Hadamard matrices are used to construct binary and ternary self-dual codes. Orthogonal designs are shown to be useful in construction of self-dual codes over large fields. In this paper, we first introduce a new array of order 12, which is suitable for any set of four amicable circulant matrices. We apply some orthogonal designs of order 12 to construct new self-dual codes over large finite fields, which lead us to the odd Leech lattice by Construction A.

元の言語English
ページ(範囲)184-194
ページ数11
ジャーナルJournal of Combinatorial Designs
13
発行部数3
DOI
出版物ステータスPublished - 2005 12 1
外部発表Yes

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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