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Codes from the Incidence Matrices of a zero-divisor Graphs
November 03, 2020 Β· Declared Dead Β· π Journal of Discrete Mathematical Sciences and Cryptography
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Authors
N. Annamalai, C Durairajan
arXiv ID
2011.01602
Category
cs.IT: Information Theory
Citations
4
Venue
Journal of Discrete Mathematical Sciences and Cryptography
Last Checked
4 months ago
Abstract
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.
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