Primitive idempotents in group algebras and minimal abelian codes

被引：0
|
作者：
Li F. [1 ]
机构：
[1] School of Mathematics and Statistics, Zaozhuang University, Zaozhuang
来源：
J. Appl. Math. Comp. | / 1-2卷 / 1-11期
关键词：
Abelian code; Finite field; Primitive idempotent;
D O I：
10.1007/s12190-014-0821-2
中图分类号：
学科分类号：
摘要：
In this paper, the minimal abelian codes for several classes of non-cyclic abelian groups are constructed by explicitly determining a complete set of primitive idempotents in the corresponding group algebras. Furthermore, we acquire the minimum Hamming distances and the dimensions of these minimal abelian codes in the group algebra (Formula Presented.) is the direct product of two cyclic groups and (Formula Presented.) are prime divisors of q - 1. © 2014, Korean Society for Computational and Applied Mathematics.
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页码：1 / 11
页数：10
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