Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer SciencesVol.E88-ANo.3pp.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 Keyword: cyclic code, self-dual code, Galois ring,
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Summary: 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  are considered. Namely, the structure of cyclic code over Fp + uFp + + uk-1Fp and that of their duals are derived.