New optimal self-dual codes over GF(7)

被引：21

作者：

Gulliver, TA

Harada, M

机构：

[1] Univ Canterbury, Dept Elect & Elect Engn, Christchurch, New Zealand

[2] Okayama Univ, Dept Math, Okayama 700, Japan

[3] Carleton Univ, Dept Syst & Comp Engn, Ottawa, ON K1S 5B6, Canada

来源：

GRAPHS AND COMBINATORICS | 1999年 / 15卷 / 02期

关键词：

Large Length; Optimal Code; Double Circulant;

D O I：

10.1007/s003730050038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, double circulant self-dual codes over GF(7) are presented, including [12, 6, 6] codes which are new optimal codes. It is shown that the supports of the codewords of weights 9, 10 and 11 in double circulant [20, 10, 9] codes form 3-designs. For larger lengths, some good self-dual codes are constructed from weighing matrices.

引用

页码：175 / 186

页数：12

共 6 条

[1]

Cameron P., 1991, Designs, graphs, codes and their links

[2]

HARADA M, 1998, AUSTRALASIAN J COMBI, V17, P133

[3] A CODING THEORETIC APPROACH TO EXTENDING DESIGNS [J].