论文标题
二维$ \ left（α，β\右）$ - constacyclic of Timate Rengtion of Pricite Field的长度代码
Two Dimensional $\left( α,β\right) $-Constacyclic Codes of arbitrary length over a Finite Field
论文作者
论文摘要
在本文中，我们表征了二维$（α，β）$的代数结构 - 任意长度$ s。\ ell $及其双重的constacyclic代码。对于$α，β\ in \ {1，-1 \} $，我们为二维$（α，β）$ - constacyclic代码提供了必要和足够的条件。我们还表明，如果$ \ gcd（s，q）= 1 $，则二维$（α，1）$ - constacyclic code $ \ mathcal {c} $，$ n = s。最后，我们提供了一些自我偶然，iSodual，MDS和准扭曲代码的示例，这些代码对应于二维$（α，β）$ - constacyclic代码。
In this paper we characterize the algebraic structure of two-dimensional $(α,β)$-constacyclic codes of arbitrary length $s.\ell$ and of their duals. For $α,β\in \{1,-1\}$, we give necessary and sufficient conditions for a two-dimensional $(α,β)$-constacyclic code to be self-dual. We also show that a two-dimensional $(α,1 )$-constacyclic code $\mathcal{C}$ of length $n=s.\ell$ can not be self-dual if $\gcd(s,q)= 1$. Finally, we give some examples of self-dual, isodual, MDS and quasi-twisted codes corresponding to two-dimensional $(α,β)$-constacyclic codes.
