Welcome to the resource topic for 2022/080
Title:
Better Security-Efficiency Trade-Offs in Permutation-Based Two-Party Computation
Authors: Yu Long Chen, Stefano Tessaro
Abstract:We improve upon the security of (tweakable) correlation-robust hash functions, which are essential components of garbling schemes and oblivious-transfer extension schemes. We in particular focus on constructions from permutations, and improve upon the work by Guo et al. (IEEE S&P '20) in terms of security and efficiency. We present a tweakable one-call construction which matches the security of the most secure two-call construction – the resulting security bound takes form O((p+q)q/2^n), where q is the number of construction evaluations and p is the number of direct adversarial queries to the underlying n-bit permutation, which is modeled as random. Moreover, we present a new two-call construction with much better security degradation – in particular, for applications of interest, where only a constant number of evaluations per tweak are made, the security degrades as O((sqrt(q)p+q^2)/2^n). Our security proof relies on on the sum-capture theorems (Babai ’02; Steinberger ’12, Cogliati and Seurin ’18), as well as on new balls-into-bins combinatorial lemmas for limited independence ball-throws. Of independent interest, we also provide a self-contained concrete security treatment of oblivious transfer extension.
ePrint: https://eprint.iacr.org/2022/080
Talk: https://www.youtube.com/watch?v=hd23UiqIY6Q
Slides: https://iacr.org/submit/files/slides/2021/asiacrypt/asiacrypt2021/168/slides.pdf
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