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Title:
Strongly Secure Universal Thresholdizer
Authors: Ehsan Ebrahimi, Anshu Yadav
Abstract:A universal thresholdizer (UT), constructed from a threshold fully homomorphic encryption by Boneh et. al
, Crypto 2018, is a general framework for universally thresholdizing many cryptographic schemes. However,
their framework is insufficient to construct strongly secure threshold schemes, such as threshold signatures
and threshold public-key encryption, etc.
In this paper, we strengthen the security definition for a universal thresholdizer and propose a scheme
which satisfies our stronger security notion. Our UT scheme is an improvement of Boneh et. al ’s construction
at the level of threshold fully homomorphic encryption using a key homomorphic pseudorandom function.
We apply our strongly secure UT scheme to construct strongly secure threshold signatures and threshold
public-key encryption.
ePrint: https://eprint.iacr.org/2024/2078
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