Cyclic codes over GR(p2,m) of length pk

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Abstract

We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/upk1. We derive a method of representing the ideals, and classify all ideals in the ring GR(p2,m)/upk1. We also analyse the duals, and identify the self-dual ideals.

Keywords

Cyclic codes
Galois ring

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The research of this author is partially supported by NTU Research Grant M58110003.