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arXiv 2011.01602cs.ITmath.IT
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零因子图的关联矩阵码

Codes from the Incidence Matrices of a zero-divisor Graphs

N. Annamalai, C Durairajan

摘要:

本文研究了$\mathbb{Z}_n.$上顶点集为环$\mathbb{Z}_n$的所有非零零因子的集合且两个不同顶点相邻的零因子图的关联矩阵关于Hamming度量的线性码,得到了这类码的主要参数.

英文摘要:

In this paper, we examine the linear codes with respect to the Hamming metric from incidence matrices of the zero-divisor graphs with vertex set is the set of all non-zero zero-divisors of the ring $\mathbb{Z}_n$ and two distinct vertices being adjacent iff their product is zero over $\mathbb{Z}_n.$ The main parameters of the codes are obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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