期刊论文

Wang, Xiaoqiang

英文

Discrete Mathematics

0012-365X

2019

342

11

3062-3078

10.1016/j.disc.2019.06.017

The authors sincerely thank the reviewers and the editor for their helpful comments and valuable suggestions, which have greatly improved the presentation of this paper. The second author and the third author were supported by China Scholarship Council (Grant Nos. 201706770036, 201806770068), NSFC, China (Grant No. 11871025) and the self-determined research funds of CCNU, China from the colleges basic research and operation of MOE (Grant No. CCNU18TS028). H.Q. Dinh and S. Sriboonchitta are grateful to the Centre of Excellence in Econometrics, Chiang Mai University (Thailand), for partial financial support. This research is partially supported by the Research Administration Centre, Chaing Mai University (Thailand). The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Let p be an odd prime, and lambda be a nonzero element of the finite field Fp(m). The lambda-constacyclic codes of length 2p(s) over Fp(m) are classified as the ideals of quotient ring Fp(m)[chi]/(chi(2)p(s)-lambda) in terms of their generator polynomials. Based on these generator polynomials, the symbol-pair distances of all such lambda-constacyclic codes of length 2p(s) are obtained in this paper. As an application, all MDS symbol-pair constacyclic codes of length 2p(s) over Fp(m) are established, which produce many new MDS symbol-pair c...