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Mass Formulas for Cyclic Codes of Length pk over the Ring Fpm+uFpm |
Zhu Shi-xin Ding Jian |
School of Mathematics, Hefei Univercity of Technology, Hefei 230009, China |
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Abstract Cyclic codes over the ring R=Fpm+uFpm can be seen as the ideals of R[x]/<xpk-1>. Based on the studing of ideals of R[x]/<xpk-1>, a unique method of representing cyclic codes of length pk and their mass formulas over the ring Fpm+uFpm are provided. For the cyclic self-dual codes of length pk over the ring Fpm+uFpm, their structures and mass formulas are given.
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Received: 12 October 2009
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Corresponding Authors:
Ding Jian
E-mail: dingjian_happy@163.com
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