On self-dual codes over some prime fields

被引：58
作者：
Betsumiya, K
Georgiou, S
Gullivere, TA
Harada, M
Koukouvinos, C
机构：
[1] Univ Victoria, Dept Elect & Comp Engn, STN CSC, Victoria, BC V8W 3P6, Canada
[2] Nagoya Univ, Grad Sch Math, Nagoya, Aichi, Japan
[3] Natl Tech Univ Athens, Dept Math, GR-15773 Athens, Greece
[4] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan
来源：
DISCRETE MATHEMATICS | 2003年 / 262卷 / 1-3期
关键词：
self-dual codes; MDS codes; double circulant codes; orthogonal designs;
D O I：
10.1016/S0012-365X(02)00520-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study self-dual codes over GF(p) where p = 11, 13,17, 19,23 and 29. A classification of such codes for small lengths is given. The largest minimum weights of these codes are investigated. Many maximum distance separable self-dual codes are constructed. (C) 2002 Published by Elsevier Science B.V.
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页码：37 / 58
页数：22
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