A New Formula for the Minimum Distance of an Expander Code

Document Type

Article

Publication Date

5-2025

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 an (m,n,d,γ, 1−ε)expander bipartite graph.

Comments

Copyright © 2022. Journal of Algebra Combinatorics Discrete Structures and Applications. All rights reserved.

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