Galois LCD codes over mixed alphabets

Maryam Bajalan,Alexandre Fotue Tabue,Joël Kaboré,Edgar Martı́nez-Moro

Finite Fields and Their Applications（2023）

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摘要

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.

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galois lcd codes

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