Codes Over Frobenius Groups

Abstract

Abstract

In this paper we consider the group algebra FG where G is Frobenius group  of order , where  and char(F) does not divide order of G. We find the generating idempotents in the group algebra of Frobenius group by using character theory. We also find the minimum distance and dimension of the codes generated by these idempotents.

2010 Mathematics Subject Classification: 20G05, 20E45, 94B60

Keywords: Group algebra, linear and non-linear characters, idempotents, Frobenius group.

Cite this Article

Sudesh Sehrawat, Manju Pruthi. Codes over Frobenius Groups. Research & Reviews Discrete Mathematical Structures. 2019; 6(2): 1–6p.