MINIMAL CODES IN ABELIAN GROUP ALGEBRAS

被引：11

作者：

MILLER, RL

机构：

[1] Communications Systems Research Section, Jet Propulsion Laboratory, Pasadena

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1979年 / 26卷 / 02期

基金：

美国国家航空航天局;

关键词：

D O I：

10.1016/0097-3165(79)90066-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that two minimal codes M1 and M2 in the group algebra F2[G] have the same (Hamming) weight distribution if and only if there exists an automorphism θ of G whose linear extension to F2[G] maps M1 onto M2. If θ(M1) = M2, then M1 and M2 are called equivalent. We also show that there are exactly τ(l) inequivalent minimal codes in F2[G], where ℓ is the exponent of G, and τ(ℓ) is the number of divisors of ℓ. © 1979.

引用

页码：166 / 178

页数：13

共 8 条

[1] MULTIPLEX IMAGING WITH MULTIPLE-PINHOLE CAMERAS [J].