Galois LCD codes over mixed alphabets

02/06/2022

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by   Maryam Bajalam, et al.

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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 𝔽_p𝔽_p[θ]-linear codes, where p∈{2; 3} and θ≠θ^2=0, that provides 𝔽_p-linear complementary dual codes.