环F_q+vF_q+v^2F_q上的常循环码  

Constacyclic codes over the ring F_q +vF_q +v^2F_q

作　　者：曹德才[1] 朱士信[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2013年第12期1534-1536,共3页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60973125)

摘　　要：文章研究了环R=Fq+vFq+v2 Fq(其中v3=v,q是奇素数p的幂)上任意长的常循环码的结构,得到了它们的生成多项式,并且证明了环R上任意长的常循环码都是主理想生成的;给出了环R上长为ps(其中s是任意的正整数)的所有常循环码的具体生成多项式。The structure of constacyclic codes of arbitrary lengths over the ring Fq＋vFq＋v2Fq v2fq iS investigated, where v3 = v and q is a power of odd prime p. The generator polynomials of all constacy- clie codes over R of arbitrary lengths are obtained, and it is proved that all constacyclic codes over R of arbitrary lengths are principally generated. Finally, the specific generator polynomials of all constacy- clic codes over R of length p3 in which s is any positive integer are given.

关 键 词：环Fq+vFq+v2Fq 常循环码 生成多项式 

分 类 号：TN911.22[电子电信—通信与信息系统]