English

Generalized graph codes and thier minimum distances

Combinatorics 2025-01-27 v2 Information Theory math.IT

Abstract

Graph code is a linear code obtained from linear codes CC and a certain bipartite graph G. In this paper, I propose an expansion of the definition of graph code to general ll-partite, and give its lower bound of minimum distance. I also give an example of generalized graph code and calculate its parameters [n,k,d][n, k, d].

Keywords

Cite

@article{arxiv.2501.13462,
  title  = {Generalized graph codes and thier minimum distances},
  author = {Naoki Fujii},
  journal= {arXiv preprint arXiv:2501.13462},
  year   = {2025}
}
R2 v1 2026-06-28T21:14:31.257Z