The Automorphism Group of an Extremal [72,36,16] Code Does Not Contain Z7, Z3 x Z3, or D10

被引：7

作者：

Feulner, Thomas ^{[1
]}

Nebe, Gabriele ^{[2
]}

机构：

[1] Univ Bayreuth, Dept Math, D-95440 Bayreuth, Germany

[2] Rhein Westfal TH Aachen, Lehrstuhl Math, D-52056 Aachen, Germany

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2012年 / 58卷 / 11期

关键词：

Automorphism group; extremal self-dual code; type II code;

D O I：

10.1109/TIT.2012.2208176

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A computer calculation with Magma shows that there is no extremal self-dual binary code C of length 72 that has an automorphism group containing either the dihedral group of order 10, the elementary abelian group of order 9, or the cyclic group of order 7. Combining this with the known results in the literature, one obtains that the order of Aut(C) is either 5 or divides 24.

引用

页码：6916 / 6924

页数：9

共 17 条

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