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On the Gray Image of Cyclic Codes over Finite Chain Rings

Jianfa QIAN, Wenping MA, Xinmei WANG

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Summary :

We introduce (1-γ)-cyclic code and cyclic codes over the finite chain ring R. We prove that the Gray image of a linear (1-γ)-cyclic code over R of length n is a distance invariant quasi-cyclic code over Fpk. We also prove that if (n,p)=1, then every code over Fpk which is the Gray image of a cyclic code over R of length n is equivalent to a quasi-cyclic code.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.9 pp.2685-2687
Publication Date
2008/09/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e91-a.9.2685
Type of Manuscript
LETTER
Category
Coding Theory

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