Optimal self-dual codes over Z4

被引：22
|
作者：
Rains, E [1 ]
机构：
[1] AT&T Bell Labs, Res, Florham Park, NJ 07932 USA
来源：
DISCRETE MATHEMATICS | 1999年 / 203卷 / 1-3期
关键词：
classification optimal self-dual Z(4) code;
D O I：
10.1016/S0012-365X(98)00358-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The optimal minimal Euclidean norm of self-dual codes over Z(4) is known through length 24; the purpose of the present note is to determine the optimal minimal Hamming and Lee weights in this range. In the process, we classify all Lee-optimal codes of length 18, 21, 23, and 24. In particular, we find a total of 13 inequivalent codes with the same symmetrized weight enumerator as the Hensel-lifted Golay code. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：215 / 228
页数：14
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