| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8895720 | Finite Fields and Their Applications | 2018 | 16 Pages |
Abstract
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 class of Hermitian LCD λ-constacyclic MDS codes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xiusheng Liu, Yun Fan, Hualu Liu,