期刊论文

Wang, Xiaoqiang

英文

Discrete Mathematics

0012-365X

2020

343

4

111780

10.1016/j.disc.2019.111780

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 ). A part of this paper was written during a stay of H.Q. Dinh in the Vietnam Institute For Advanced Study in Mathematics (VIASM), he would like to thank the members of VIASM for their hospitality. 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 .

本校为其他机构

Let p be a prime, s, m be positive integers, lambda be a nonzero element of the finite field F-pm. The b-distance generalizes the Hamming distance (b = 1), and the symbol-pair distance (b = 2). While the Hamming and symbol-pair distances of all lambda-constacyclic codes of length p(s) are completely determined, the general b-distance of such codes was left opened. In this paper, we provide a new technique to establish the b-distance of all lambda-constacyclic codes of length p(s), where 1