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Galois LCD codes over mixed alphabets

Institution:	1. Department of Mathematics, Malayer University, Hamedan, Iran;2. Department of Mathematics, HTTC Bertoua, The University of Bertoua, Cameroon;3. Department of Mathematics, University Joseph Ki-Zerbo, Ouagadougou, Burkina-Faso;4. Institute of Mathematics, University of Valladolid, Castilla, Spain

Abstract:	In this work we give a characterization of Galois Linear Complementary Dual codes and Galois-invariant codes over mixed alphabets of finite chain rings, which leads to the study of the Gray image of $F_{p} F_{p} θ]$ -linear codes, where $p \in {2; 3}$ and $θ \neq θ^{2} = 0$ that provides LCD codes over $F_{p}$ .

Keywords:	Finite chain ring Linear complementary dual codes Galois duality Gray map
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