Self-dual Z4-codes and Hadamard matrices

被引：6
|
作者：
Harada, M [1 ]
机构：
[1] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan
来源：
DISCRETE MATHEMATICS | 2002年 / 245卷 / 1-3期
关键词：
self-dual codes over Z(4); Type I codes; Hadamard matrices;
D O I：
10.1016/S0012-365X(01)00310-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we investigate Type I codes over Z(4) constructed from Hadamard matrices. As an application, we construct a Type I Z(4)-code with minimum Euclidean weight 16 of length 40. This code is the first example of such a Type I Z(4)-code. This code also gives an example of a 40-dimensional extremal odd unimodular lattice with minimum norm 4. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：273 / 278
页数：6
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