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Additive complementary dual codes over $\mathbb{F}_{q^2}$ - MaRDI portal

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Additive complementary dual codes over $\mathbb{F}_{q^2}$

From MaRDI portal
Publication:6427361

arXiv2302.11791MaRDI QIDQ6427361

Author name not available (Why is that?)

Publication date: 23 February 2023

Abstract: Shi et al. [Additive complementary dual codes over F4. Designs, Codes and Cryptography, 2022.] studied additive codes over the finite field F4 with respect to trace Hermitian and trace Euclidean inner products. In this article, we define additive codes of length n over finite field Fq2 as additive subgroups of Fn q2 where q is a prime power. We associate an additive code with a matrix called a generator matrix. We characterize trace Euclidean ACD and trace Hermitian ACD codes in terms of generator matrices over the finite field Fq2 . Also, we construct these codes over Fq2 from linear LCD codes over Fq.












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