期刊论文

Liu, Hualu

英文

Finite Fields and Their Applications

1071-5797

2018

49

1

227-242

10.1016/j.ffa.2017.10.001

The authors would like to sincerely thank the editor and the referees for very meticulous readings of this paper, and for valuable suggestions which help us to create an improved version. Y. Fan was supported by NSFC (Grant No. 11271005 ). X. Liu was supported by Research Funds of Hubei Province (Grant Nos. D20144401 and Q20174503 ), and Research Project of Hubei Polytechnic University (Grant No. 17xjz03A ). H. Liu was supported by China Scholarship Council (Grant No. 201606770024 ), and the Educational Commission of Hubei Province (Grant No. B2015096 ).

本校为其他机构

In this paper, we generalize the linear complementary dual codes (LCD codes for short) to k-Galois LCD codes, and study them by a uniform method. A necessary and sufficient condition for linear codes to be k-Galois LCD codes is obtained, two classes of k-Galois LCD MDS codes are exhibited. Then, necessary and sufficient conditions for λ-constacyclic codes being k-Galois LCD codes are characterized. Some classes of k-Galois LCD λ-constacyclic MDS codes are constructed. Finally, we study Hermitian LCD λ-constacyclic codes, and present a c...