Cyclic Codes over Fp + uFp + + uk-1Fp

Jian-Fa QIAN  Li-Na ZHANG  Shi-Xin ZHU  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E88-A   No.3   pp.795-797
Publication Date: 2005/03/01
Online ISSN: 
DOI: 10.1093/ietfec/e88-a.3.795
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Coding Theory
cyclic code,  self-dual code,  Galois ring,  

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The ring Fp + uFp + + uk-1Fp may be of interest in coding theory, which have already been used in the construction of optimal frequency-hopping sequence. In this work, cyclic codes over Fp + uFp + + uk-1Fp which is an open problem posed in [1] are considered. Namely, the structure of cyclic code over Fp + uFp + + uk-1Fp and that of their duals are derived.