English

A New Formula for the Minimum Distance of an Expander Code

Combinatorics 2021-01-06 v1 Information Theory math.IT

Abstract

An expander code is a binary linear code whose parity-check matrix is the bi-adjacency matrix of a bipartite expander graph. We provide a new formula for the minimum distance of such codes. We also provide a new proof of the result that 2(1ε)γn2(1-\varepsilon) \gamma n is a lower bound of the minimum distance of the expander code given by a (m,n,d,γ,1ε)(m,n,d,\gamma,1-\varepsilon) expander bipartite graph.

Keywords

Cite

@article{arxiv.2101.01339,
  title  = {A New Formula for the Minimum Distance of an Expander Code},
  author = {Sudipta Mallik},
  journal= {arXiv preprint arXiv:2101.01339},
  year   = {2021}
}
R2 v1 2026-06-23T21:46:53.856Z