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- Title
Constructions of Symplectic LCD MDS Codes.
- Authors
Xu, H. Q.; Du, W.
- Abstract
Linear complementary dual (LCD) codes are linear codes whose intersections with their duals are trivial. In this paper, characterizations of LCD codes with respect to the symplectic inner product, i.e. symplectic LCD codes, over finite fields are given. Some methods for constructing symplectic LCD codes and symplectic LCD MDS codes are presented. As an application, a class of symplectic LCD MDS codes is constructed by employing Vandermonde matrices, and the corresponding MDS maximal entanglement entanglement-assisted quantum error-correcting codes (EAQECCs) are constructed.
- Subjects
LINEAR codes; VANDERMONDE matrices; ERROR-correcting codes; FINITE fields; QUANTUM entanglement
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2021, Vol 44, Issue 5, p3377
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-021-01114-x