New self-dual codes over GF(5)

被引：0
|
作者：
Georgiou, S [1 ]
Koukouvinos, C [1 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, GR-15773 Athens, Greece
来源：
CRYPTOGRAPHY AND CODING | 1999年 / 1746卷
关键词：
self-dual codes; construction; orthogonal designs;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Self-dual codes and orthogonal designs have been studied for a long time as separate research areas. In the present paper we show a strong relationship between them. The structure of orthogonal designs is such as to allow us a much faster and more systematic search for self-dual codes over GF(5). Using our method we constructed the following linear self-dual codes over GF(B):(i) [4,2,2], (ii) [8,4,4], (iii) [12,6,6], (iv) [16,8,6], (v) [20,10,8], (vi) [24,12,9], (vii) [28,14,10]. The codes (i), (ii), (iii), (v) are extremal. A [28,14,10] code is constructed here for the first time.
引用
收藏
页码：63 / 69
页数：7
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