Article ID Journal Published Year Pages File Type
4583238 Finite Fields and Their Applications 2007 15 Pages PDF
Abstract

Polyadic codes constitute a special class of cyclic codes and are generalizations of quadratic residue codes, duadic codes, triadic codes, m-adic residue codes and split group codes, which have good error-correcting properties. In this paper, we give necessary and sufficient conditions for the existence of polyadic codes of prime power length. Examples of some good codes arising from the family of polyadic codes of prime power length are also given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory