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Codes from the Incidence Matrices of a zero-divisor Graphs (2011.01602v1)
Published 3 Nov 2020 in cs.IT and math.IT
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.