期刊论文

Liu, Hualu

英文

Discrete Mathematics

0012-365X

2018

341

2

324-335

10.1016/j.disc.2017.08.044

The authors would like to sincerely thank the referees for a very meticulous reading of this manuscript, and for valuable suggestions which help to create an improved final version. This work was done while Hualu Liu was visiting Hai Q. Dinh at the Department of Mathematical Sciences, Kent State University, USA. He is grateful for the hospitality and support. He was supported by China Scholarship Council (Grant No. 201606770024 ), the excellent doctorial dissertation cultivation grant from Central China Normal University , and the Educational Commission of Hubei Province (Grant No. B2015096 ). Yun Fan and H. Liu were supported by NSFC (Grant No. 11271005 ). H.Q. Dinh and S. Sriboonchitta are grateful to the Central of Excellence in Econometrics of Chiang Mai University, Thailand, for partial financial support.

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The aim of this paper is to establish all self-dual lambda-constacyclic codes of length p(s) over the finite commutative chain ring R = F-p(m) + uF(p)(m), where p is a prime and u(2) = 0. If lambda = alpha+u beta for nonzero elements alpha, beta of F-p(m), the ideal < u > is the unique self-dual (alpha +u beta)-constacyclic codes. If lambda = gamma for some nonzero element gamma of F-p(m) we consider two cases of gamma. When gamma = gamma(-1), i.e., gamma = 1 or -1, we first obtain the dual of every cyclic code, a formula for the number of those cyclic codes and identify all self-dual cyclic c...