Expander Graphs are Non-Malleable Codes

September 28, 2018 · Declared Dead · 🏛 IACR Cryptology ePrint Archive

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Authors Peter M. R. Rasmussen, Amit Sahai arXiv ID 1810.00106 Category cs.CR: Cryptography & Security Cross-listed cs.DM Citations 5 Venue IACR Cryptology ePrint Archive Last Checked 4 months ago
Abstract
Any $d$-regular graph on $n$ vertices with spectral expansion $λ$ satisfying $n = Ω(d^3\log(d)/λ)$ yields a $O\left(\frac{λ^{3/2}}{d}\right)$-non-malleable code for single-bit messages in the split-state model.
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