The structure of the generalized Galois LCD codes over chain rings can be used to construct Galois LCD codes over finite fields. By using the structure of the ...

In this work we give a characterization of Galois Linear Complementary Dual codes and Galois-invariant codes over mixed alphabets of finite chain rings, ...

Jun 17, 2022 · We define a correspondence between l -Galois dual of linear codes over \mathcal{R} and l -Galois dual of its component codes over \mathbb{F}_q .

Oct 22, 2024 · The structure of the generalized Galois LCD codes over chain rings can be used to construct Galois LCD codes over finite fields. By using the ...

The structure of the generalized Galois LCD codes over chain rings can be used to construct Galois LCD codes over finite fields. By using the structure of ...

Dec 15, 2022 · We extend the results to the finite nonchain ring R = Fq + uFq + vFq + uvFq, where u2 = u, v2 = v and uv = vu.

In this paper, we generalize the linear complementary dual codes (LCD codes for short) to k-Galois LCD codes, and study them by a uniform method.

We define the generalized Galois inner product for codes over Frobenius rings, and then present the Galois linear complementary dual (LCD) codes over such ...

Dec 15, 2022 · We extend the results to the finite nonchain ring R = Fq + uFq + vFq + uvFq, where u2 = u, v2 = v and uv = vu.

In this article, we provide some constructions of Galois LCD codes over F q in terms of their generator matrices. Here, we consider the Galois inner product ...