A New Formula for the Minimum Distance of an Expander Code

01/05/2021
by   Sudipta Mallik, et al.
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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(1-ε) γ n is a lower bound of the minimum distance of the expander code given by a (m,n,d,γ,1-ε) expander bipartite graph.

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