Extremal self-dual codes over F2 x F2

被引：0

作者：

Betsumiya, K ^{[1
]}

Gulliver, TA

Harada, M

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 3P6, Canada

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

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2003年 / 28卷 / 02期

关键词：

self-dual codes; optimal codes;

D O I：

10.1023/A:1022540524423

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, it is shown that extremal (Hermitian) self-dual codes over F-2 x F-2 exist only for lengths 1, 2, 3, 4, 5, 8 and 10. All extremal self-dual codes over F-2 x F-2 are found. In particular, it is shown that there is a unique extremal self-dual code up to equivalence for lengths 8 and 10. Optimal self-dual codes are also investigated. A classification is given for binary [12, 7, 4] codes with dual distance 4, binary [13, 7, 4] codes with dual distance 4 and binary [13, 8, 4] codes with dual distance greater than or equal to 4.

引用

页码：171 / 186

页数：16

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