环F_q+uF_q上准循环码和准扭码

Quasi-cyclic codes and quasi-twisted codes over ring F_q+uF_q

文章研究了环R=Fq+uFq上1-生成l准循环码,其中u2=0,q是素数幂;通过对其结构的研究,确定了该环上任意长度准循环码的生成元表示形式及最小生成元集,最后将准循环码的结果推广到R上任意长度的准扭码上。

In this paper ,one-generator quasi-cyclic codes over the ring R= Fq＋ uFq are studied ,w here u2 =0 and q is a prime power .By exploring the structure ,the form of generators and the minimal gen-erating sets of quasi-cyclic codes of an arbitrary length are determined .Finally ,the results of quasi-cyclic codes are extended to quasi-twisted codes over R of an arbitrary length .