Extremal double circulant Type II codes over Z4 and construction of 5-(24,10,36) designs

被引：12
作者：
Gulliver, TA
Harada, M
机构：
[1] Univ Canterbury, Dept Elect & Elect Engn, Christchurch 1, New Zealand
[2] Okayama Univ, Dept Math, Okayama 700, Japan
来源：
DISCRETE MATHEMATICS | 1999年 / 194卷 / 1-3期
基金：
日本学术振兴会;
关键词：
D O I：
10.1016/S0012-365X(98)00035-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we provide a classification of extremal double circulant Type II codes of length 24 over Z(4). It is shown that the sets of supports of the codewords of Hamming weight 10 in certain extremal Type II codes of length 24 form 5-(24, 10, 36) designs. Designs with these parameters were not previously known to exist. A new extremal Type II double circulant code of length 32 is also constructed. (C) 1999 Elsevier Science B.V. All rights reserved.
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收藏
页码：129 / 137
页数：9
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