摘要
LetRbeafinitechainringwithmaximalidealγandresiduefieldF,andletγbeofnilpotencyindext.ToeverycodeCoflengthnoverR,atowerofcodesC=(C:γ0)(C:γ)(C:γi)(C:γt-1)canbeassociatedwithC,whereforanyr∈R,(C:r)={e∈Rn|re∈C}.UsinggeneratorelementsoftheprojectionofsuchatowerofcodestotheresiduefieldF,wecharacterizecycliccodesoverR.ThischaracterizationturnstheconditionforcodesoverRtobecyclicintooneforcodesovertheresiduefieldF.Furthermore,weobtainacharacterizationofcycliccodesovertheformalpowerseriesringofafinitechainring.
出版日期
2013年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)