On the Structure of Cyclic Codes over F_q+uF_q+vF_q+uvF_q |
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| Authors: | XU Xiaofang LIU Xiusheng School of Mathematics Physics Huangshi Institute of Technology Huangshi Hubei China |
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| Institution: | XU Xiaofang,LIU Xiusheng School of Mathematics and Physics,Huangshi Institute of Technology,Huangshi 435003,Hubei,China |
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| Abstract: | In this paper,cyclic codes over the ring R=F4+uF4+vF4+uvF4 are discussed where the ring R is not a finite chain ring.By studying the polynomial ring Rn=(F4+uF4+vF4+uvF4) and using the corresponding relationship between the cyclic codes in R and the ideals in,cyclic codes over the ring R are characterized.Finally,a Gray-map is obtained and the image of cyclic codes in R is characterized. |
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| Keywords: | cyclic codes gray-map quasi-cyclic code |
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