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Cyclic and 1-generator quasi-cyclic codes over F_q+uF_q
ZHU Shixin 1 *,KAI Xiaoshan 2 #,XU Xianqi 2
1.School of Mathematics, Hefei University of Technology, HeFei 230009
2.School of Mathematics, Hefei University of Technology
*Correspondence author
#Submitted by
Subject:
Funding: the Foundamental Research Fund for the Central Universities(No.No.2010HGXJ), Specialized Research Fund for the Doctoral Pragram of High Education (No.No.20080359003)
Opened online:24 February 2012
Accepted by: none
Citation: ZHU Shixin,KAI Xiaoshan,XU Xianqi.Cyclic and 1-generator quasi-cyclic codes over F_q+uF_q[OL]. [24 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4466661
 
 
In this paper, we study cyclic codes and 1-generator quasi-cyclic codes over the ring F_q+uF_q where q is a prime power and u^2=0. We give generator polynomials of cyclic codes over F_q+uF_q and discuss some Gray maps on F_q+uF_q. These results are used to study the structure of 1-generator quasi-cyclic codes over F_q+uF_q. A lower bound on Gray distance for a class of 1-generator quasi-cyclic codes over F_q+uF_q is obtained.
Keywords:cyclic codes; generator polynomial; quasi-cyclic codes
 
 
 

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