Additive cyclic complementary dual codes over F4

Date

2022-10-01

Author

Shi, Minjia
Liu, Na
Özbudak, Ferruh
Solé, Patrick

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© 2022 Elsevier Inc.An additive cyclic code of length n over F4 can be defined equivalently as an F2[x]/〈xn+1〉-submodule of F4[x]/〈xn+1〉. In this paper we study additive cyclic and complementary dual codes of odd length over F4 with respect to the trace Hermitian inner product and the trace Euclidean inner product. We characterize subfield subcodes and trace codes of these codes by their generators as binary cyclic codes.

Subject Keywords

Additive codes, Cyclic codes, Complementary dual, LCD CODES, Additive codes, Complementary dual, Cyclic codes

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85134430500&origin=inward
https://hdl.handle.net/11511/99175

Journal

Finite Fields and their Applications

DOI

https://doi.org/10.1016/j.ffa.2022.102087

Collections

Department of Mathematics, Article

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Citation Formats

M. Shi, N. Liu, F. Özbudak, and P. Solé, “Additive cyclic complementary dual codes over F4,” Finite Fields and their Applications, vol. 83, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85134430500&origin=inward.