Generalized graph codes and thier minimum distances

Fuente: arXiv
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Autor principal: Fujii, Naoki
Formato: Preprint
Publicado: 2025
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author Fujii, Naoki
author_facet Fujii, Naoki
contents Graph code is a linear code obtained from linear codes $C$ and a certain bipartite graph G. In this paper, I propose an expansion of the definition of graph code to general $l$-partite, and give its lower bound of minimum distance. I also give an example of generalized graph code and calculate its parameters $[n, k, d]$.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13462
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized graph codes and thier minimum distances
Fujii, Naoki
Combinatorics
Information Theory
Graph code is a linear code obtained from linear codes $C$ and a certain bipartite graph G. In this paper, I propose an expansion of the definition of graph code to general $l$-partite, and give its lower bound of minimum distance. I also give an example of generalized graph code and calculate its parameters $[n, k, d]$.
title Generalized graph codes and thier minimum distances
topic Combinatorics
Information Theory
url https://arxiv.org/abs/2501.13462