Hadamard matrices of order 32 and extremal ternary self-dual codes

被引：1

作者：

Betsumiya, Koichi ^{[2
]}

Harada, Masaaki ^{[1
,3
]}

Kimura, Hiroshi

机构：

[1] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan

[2] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan

[3] Japan Sci & Technol Agcy, PRESTO, Kawaguchi, Saitama 3320012, Japan

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2011年 / 58卷 / 02期

关键词：

Hadamard matrix; Paley-Hadamard matrix; Extremal self-dual code; Ternary code;

D O I：

10.1007/s10623-010-9403-y

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A ternary self-dual code can be constructed from a Hadamard matrix of order congruent to 8 modulo 12. In this paper, we show that the Paley-Hadamard matrix is the only Hadamard matrix of order 32 which gives an extremal self-dual code of length 64. This gives a coding theoretic characterization of the Paley-Hadamard matrix of order 32.

引用

页码：203 / 214

页数：12

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