Transform Domain Characterization of Dual Group Codes of Cyclic Group Codes over Elementary Abelian Groups

Abstract

The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes. The transform domain description of the dual codes of cyclic group codes of length over has been developed in this paper. Several example codes and their duals have been presented also.

Keywords

• group codes, cyclic codes, dual codes, Abelian groups.