English

Codes from the Incidence Matrices of a zero-divisor Graphs

Information Theory 2020-11-04 v1 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 Zn\mathbb{Z}_n and two distinct vertices being adjacent iff their product is zero over Zn.\mathbb{Z}_n. The main parameters of the codes are obtained.

Keywords

Cite

@article{arxiv.2011.01602,
  title  = {Codes from the Incidence Matrices of a zero-divisor Graphs},
  author = {N. Annamalai and C Durairajan},
  journal= {arXiv preprint arXiv:2011.01602},
  year   = {2020}
}
R2 v1 2026-06-23T19:52:50.746Z