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电子学报  2015 

环F2+uF2+u2F2上的常循环码

DOI: 10.3969/j.issn.0372-2112.2015.01.023, PP. 145-150

Keywords: 循环码,常循环码,极小生成元集,生成多项式

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Abstract:

常循环码是一类重要的纠错码,本文基于(xn-1)在F2[x]上的分解,探讨了环R=F2+uF2+u2F2上任意长度的(1+λu)常循环码的极小生成元集(λ为R上的单位).通过分析该环上循环码和常循环码的置换等价性,得到了该环上码长为奇数及码长N≡2(mod4)时(1+u2)常循环码的生成多项式和极小生成元集.

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