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《Mathematics in Practice and Theory》 2013-01
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Cyclic Codes over F_p + uF_p + vF_p + uvF_p

XU Xiao-fang,LIU Xiu-sheng (School of Mathematics and Physics,Huangshi Institute of Technology,Huangshi 435003,China)  
In this paper,cyclic codes over the ring R=F_p+uF_p+vF_p+uvF_p are discussed,where the ring R is not a finite chain ring.By studying the polynomial ring R_n=(F_p +uF_p +vF_p +uvF_p)[x]/(x~n-1) and using the corresponding relationship between the cyclic codes over the ring R and the ideals in the ringR_n,cyclic codes over the ring R are characterized.Finally,a Gray-map is obtained and the images of cyclic codes over the ring R are characterized.
【Fund】: 湖北省教育厅科学技术研究项目(B20114410);; 黄石理工学院自然科学类青年项目(11yjz31Q)
【CateGory Index】: O157.4
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 LI Ping,ZHU Shi-xin(Department of Applied Mathematics,Hefei University of Technology,Hefei 230009,China);Cyclic codes of arbitrary lengths over the ring F_q+uF_q[J];Journal of University of Science and Technology of China;2008-12
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zhu Shi-xin Ding Jian (School of Mathematics,Hefei Univercity of Technology,Hefei 230009,China);Mass Formulas for Cyclic Codes of Length p~k over the Ring F_(p~m)+uF_(p~m)[J];Journal of Electronics & Information Technology;2010-09
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3 Li Ping Zhu Shi-xin Kai Xiao-shan(School of Mathematics,Hefei University of Technology,Hefei 230009,China);(uλ-1)-constacyclic Codes of Arbitrary Lengths over the Ring k_q+uF_q+…+u~(k-1)F_q[J];Journal of Electronics & Information Technology;2013-05
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Chinese Journal Full-text Database 4 Hits
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