Constacyclic Codes Over Finite Principal Ideal Rings

2015/05/05 by Batoul, Aicha, Guenda, Kenza, Gulliver, T. Aaron
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1505.00876

Abstract

In this paper, we give an important isomorphism between contacyclic codes and cyclic codes over finite principal ideal rings. Necessary and sufficient conditions for the existence of non-trivial cyclic self-dual codes over finite principal ideal rings are given.

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