Orthogonal designs, self-dual codes, and the leech lattice

被引：7
|
作者：
Harada, M [1 ]
Kharaghani, H
机构：
[1] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan
[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada
来源：
JOURNAL OF COMBINATORIAL DESIGNS | 2005年 / 13卷 / 03期
关键词：
orthogonal design; self-dual code; the Leech lattice;
D O I：
10.1002/jcd.20046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Symmetric designs and Hadamard matrices are used to construct binary and ternary self-dual codes. Orthogonal designs are shown to be useful in construction of self-dual codes over large fields. In this paper, we first introduce a new array of order 12, which is suitable for any set of four amicable circulant matrices. We apply some orthogonal designs of order 12 to construct new self-dual codes over large finite fields, which lead us to the odd Leech lattice by Construction A. (c) 2005 Wiley Periodicals, Inc.
引用
收藏
页码：184 / 194
页数：11
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