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Volume 32 Issue 9
Oct.  2010
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Zhu Shi-Xin, Ding Jian. Mass Formulas for Cyclic Codes of Lengthpk over the Ring Fpm+uFpm[J]. Journal of Electronics & Information Technology, 2010, 32(9): 2101-2105. doi: 10.3724/SP.J.1146.2009.01325
Citation: Zhu Shi-Xin, Ding Jian. Mass Formulas for Cyclic Codes of Lengthpk over the Ring Fpm+uFpm[J]. Journal of Electronics & Information Technology, 2010, 32(9): 2101-2105. doi: 10.3724/SP.J.1146.2009.01325

Mass Formulas for Cyclic Codes of Lengthpk over the Ring Fpm+uFpm

doi: 10.3724/SP.J.1146.2009.01325
  • Received Date: 2009-10-12
  • Rev Recd Date: 2010-04-28
  • Publish Date: 2010-09-19
  • Cyclic codes over the ringR=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 lengthpk and their mass formulas over the ringFpm+uFpm are provided. For the cyclic self-dual codes of lengthpk over the ring Fpm+uFpm, their structures and mass formulas are given.
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