Galois LCD codes over mixed alphabets

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 FpFp[θ]-linear codes, where p ∈ {2; 3} and θ = θ2 = 0 that provides LCD codes over Fp.