论文标题
混合字母的Galois LCD代码
Galois LCD codes over mixed alphabets
论文作者
论文摘要
我们研究（GALOIS）线性互补双码代码，这是由有限链环引起的混合字母。我们给出了何时我们研究给定代码时（GALOIS）线性互补双码代码，这是由有限链环引起的混合字母。我们给出一个给定代码是这种类型的何时以及何时是Galois不变的表征。最后，这导致了$ \ mathbb {f} _p \ mathbb {f} _p [θ] $ - 线性代码的灰色图像的研究，其中$ p \ in \ in \ {2; 3 \} $和$θ\neqθ^2 = 0 $，它提供$ \ mathbb {f} _p $ -linear-linear互补双重代码。
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 $\mathbb{F}_p\mathbb{F}_p[θ]$-linear codes, where $p\in\{2; 3\}$ and $θ\neqθ^2=0$, that provides $\mathbb{F}_p$-linear complementary dual codes.
