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14-08-2020 | Original Paper

# On some binary symplectic self-orthogonal codes

Authors: Heqian Xu, Wei Du

## Abstract

Symplectic self-orthogonal codes over finite fields are an important class of linear codes in coding theory, which can be used to construct quantum codes. In this paper, characterizations of symplectic self-orthogonal codes over finite fields $$F_{q}$$ are given. A necessary and sufficient condition for determining symplectic self-orthogonal codes is obtained. Several classes of symplectic self-orthogonal codes are constructed. Furthermore, the symplectic weight distributions of some new classes of binary symplectic self-orthogonal codes are completely determined.
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Title
On some binary symplectic self-orthogonal codes
Authors
Heqian Xu
Wei Du
Publication date
14-08-2020
Publisher
Springer Berlin Heidelberg
Published in
Applicable Algebra in Engineering, Communication and Computing / Issue 3/2022
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-020-00455-7

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