期刊论文

Dinh, Hai Q.

英文

Discrete Mathematics

0012-365X

2019

342

5

1456-1470

10.1016/j.disc.2019.01.023

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 No. 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, for partial financial support. This research is partially supported by the Research Administration Centre, Chaing Mai University.

本校为其他机构

Let p be an odd prime, s, m be positive integers, gamma, lambda be nonzero elements of the finite field F-pm such that (gamma)p(s) = A. In this paper, we show that, for any positive integer eta, the Hamming distances of all repeated-root lambda-constacyclic codes of length eta p(s) can be determined by those of certain simple-root gamma-constacyclic codes of length eta. Using this result, Hamming distances of all constacyclic codes of length 4p(s) are obtained. As an application, we identify all MDS lambda-constacyclic codes ...