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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > COMBINER:
Reports tagged with Combiner:
TR25-023 | 24th February 2025
Benny Applebaum, Eliran Kachlon

How to Share an NP Statement or Combiners for Zero-Knowledge Proofs

Revisions: 1

In Crypto'19, Goyal, Jain, and Sahai (GJS) introduced the elegant notion of *secret-sharing of an NP statement* (NPSS). Roughly speaking, a $t$-out-of-$n$ secret sharing of an NP statement is a reduction that maps an instance-witness pair to $n$ instance-witness pairs such that any subset of $(t-1)$ reveals no information about ... more >>>


TR26-110 | 30th June 2026
Benny Applebaum, Nir Bitansky, Nathan Geier

Security Amplification via Robust Indistinguishability Combiners

A robust combiner for a cryptographic primitive $P$ takes multiple candidate constructions of $P$ and produces a secure construction of $P$ provided that sufficiently many of the candidates are secure. A closely related notion is that of a security amplifier, where given a weakly secure construction of $P$, we aim ... more >>>




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