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最优冲突回避码的具体构造
Explicit constructions of optimal conflict-avoiding codes

DOI: 10.7631/issn.1000-2243.2016.03.0390

Keywords: 冲突回避码 码重 二次剩余 分圆类
conflict-avoiding code code weight quadratic residue cyclotomic class

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Abstract:

冲突回避码被应用于多分址冲突信道中,目前对最优冲突回避码的具体构造取得的结果大多是码重k=3,4,5,6,7的情况,对码重k>7具体构造结果比较少. 为此,利用已有的构造方法结合数论相关知识,进一步构造码重k=8,9,10,11,12,码长n=(k-1)p时的最优冲突回避码新结果.
Conflict-avoiding code was applied in multiple-access in the collision channel. Previously,researchers investigate explicit constructions of optimal conflict-avoiding code in the case of k=3,4,5,6,7. And there is very few results in the case of k>7. In this paper,combing pre-existing constructions with the related knowledge of number theory,a new infinite classes of optimal conflict-avoiding codes with weight k=8,9,10,11,12 and length n=(k-1)p are obtained

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