环F_(2~m)[u_1,u_2,…,u_k]/〈u_i^2=0,u_iu_j=u_ju_i〉上常循环码的等价性

The Equivalence of Constacyclic Codes over Ring F_(2~m)[u_1,u_2,…,u_k]/〈u_i^2=0,u_iu_j=u_ju_i〉

研究了环F2m[u1,u2,…,uk]/〈ui2=0,uiuj=ujui〉上任意长度的常循环码的等价性,利用等价性对该环上常循环码进行了分类,并给出了长度为奇数的常循环码Gray像的结构.

Constacyclic codes over the ring F2m[u1,u2,…,uk]/〈ui2= 0,uiuj= ujui〉are introduced and the equivalence of constacyclic codes of an arbitrary length is described. The structure of Gray images of constacyclic codes of odd length are described.