The binary extremal self-dual codes of lengths 38 and 40

被引：2
|
作者：
Kim, Hyun Jin [1 ]
机构：
[1] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2012年 / 63卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Automorphism; Extremal code; Self-dual code; Self-orthogonal code; Weight enumerator; CLASSIFICATION; ENUMERATION; AUTOMORPHISM;
D O I：
10.1007/s10623-011-9534-9
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We classify the extremal self-dual codes of lengths 38 or 40 having an automorphism of order 3 with six independent 3-cycles, 10 independent 3-cycles, or 12 independent 3-cycles. In this way we complete the classification of binary extremal self-dual codes of length up to 48 having automorphism of odd prime order.
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页码：43 / 57
页数：15
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