Constructions of self-orthogonal codes and LCD codes over finite fields

Date

2024-01-01

Author

Çakmak, Melike
SINAK, AHMET
Yayla, Oğuz

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Self-orthogonal codes, which are contained within their dual codes, have applications in linear complementary dual codes, quantum codes, etc. In this paper, we generalize the construction method given by Heng et al. in [Des. Codes Cryptogr. 91(12), 2023] to weakly regular plateaued functions. We first construct several families of p-ary self-orthogonal linear codes with few weights from weakly regular plateaued balanced and unbalanced functions over the finite fields of odd characteristics. Then, we use the constructed p-ary self-orthogonal codes to build new families of p-ary LCD codes.

URI

https://hdl.handle.net/11511/116535

DOI

https://doi.org/10.1109/isctrkiye64784.2024.10779225

Conference Name

17th International Conference on Information Security and Cryptology

Collections

Department of Mathematics, Conference / Seminar

Citation Formats

M. Çakmak, A. SINAK, and O. Yayla, “Constructions of self-orthogonal codes and LCD codes over finite fields,” presented at the 17th International Conference on Information Security and Cryptology, Ankara, Türkiye, 2024, Accessed: 00, 2025. [Online]. Available: https://hdl.handle.net/11511/116535.