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arXiv · 2202.02843

Galois LCD codes over mixed alphabets

Maryam Bajalan·Alexandre Fotue-Tabue·Joël Kabore·Edgar Martínez-Moro
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Abstract

We study (Galois) linear complementary dual codes over mixed alphabets arising from finite chain rings. We give a characterization of when a given code is of We study (Galois) linear complementary dual codes over mixed alphabets arising from finite chain rings. We give a characterization of when a given code is of this type and when it is Galois invariant. Finally, this leads to a study of the Gray image of $\mathbb{F}_p\mathbb{F}_p[\theta]$-linear codes, where $p\in\{2; 3\}$ and $\theta\neq\theta^2=0$, that provides $\mathbb{F}_p$-linear complementary dual codes.

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Maryam Bajalan, Alexandre Fotue-Tabue, Joël Kabore, Edgar Martínez-Moro. 2022-02-06. Galois LCD codes over mixed alphabets. https://doi.org/10.1016/j.ffa.2022.102125

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