环Z_2+uZ_2+u^2Z_2(u^3=1)上的2-D斜循环码

2-D skew cyclic codes over the ring Z_2+uZ_2+u^2Z_2(u^3=1)

本文研究了环Z_2+uZ_2+u^2Z_2上的2-D斜循环码,对二元斜多项式的性质和因式分解进行了讨论。同时研究了线性码是2-D斜循环码的充要条件、2-D斜循环码的性质及其构造方法 。

In this paper, the 2-D skew cyclic codes over the ring Z2 ＋ uZ2 ＋ u^2Z2 was studied. The properties and factorizations of bivariate skew polynomial were also discussed. Then the necessary and sufficient condition for linear code to be 2-D skew cyclic code were given. Finally,the properties and the structure of 2-P skew cyclic code were researched.