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-  2016 

关于环Fpm+uFpm+u2Fpm上循环码的注记
A NOTE ON CYCLIC CODES OVER Fpm+uFpm+u2Fpm

Keywords: 局部环 循环码 重根循环码 码词数
local ring cyclic codes repeated-root codes the number of codewords

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Abstract:

本文研究了环Fpm+uFpm+u2Fpm上长度为ps的循环码分类.通过建立环Fpm+uFpm+u2Fpm到环Fpm+uFpm的同态,给出了环Fpm+uFpm+u2Fpm上长度为ps的循环码的新分类方法.应用这种方法,得到了环Fpm+uFpm+u2Fpm长度为ps的循环码的码词数.
In this paper, we study cyclic codes of length ps over the ring Fpm+uFpm+u2Fpm. By establishing the homomorphism from ring Fpm+uFpm+u2Fpm to Fpm+uFpm+u2Fpm, we give the new classify method for cyclic codes of length ps over the ring Fpm+uFpm+u2Fpm. Using the method of the classify, we obtain the number of codewords in each of cyclic codes of length ps over ring Fpm+uFpm+u2Fpm

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