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A New Formula for the Minimum Distance of an Expander Code

2021/01/05 by Mallik, Sudipta
#Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.2101.01339

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(1-ε) γn 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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