Article ID Journal Published Year Pages File Type
4583440 Finite Fields and Their Applications 2008 13 Pages PDF
Abstract

We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/〈upk−1〉. We derive a method of representing the ideals, and classify all ideals in the ring GR(p2,m)/〈upk−1〉. We also analyse the duals, and identify the self-dual ideals.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory