English

Linear Codes from Incidence Matrices of Unit Graphs

Information Theory 2020-11-11 v1 math.IT

Abstract

In this paper, we examine the binary linear codes with respect to Hamming metric from incidence matrix of a unit graph G(Zn)G(\mathbb{Z}_{n}) with vertex set is Zn\mathbb{Z}_{n} and two distinct vertices xx and yy being adjacent if and only if x+yx+y is unit. The main parameters of the codes are given.

Keywords

Cite

@article{arxiv.2011.04914,
  title  = {Linear Codes from Incidence Matrices of Unit Graphs},
  author = {N. Annamalai and C Durairajan},
  journal= {arXiv preprint arXiv:2011.04914},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2011.01602

R2 v1 2026-06-23T20:02:16.091Z