[Resource Topic] 2001/011: New Zero-knowledge Undeniable Signatures - Forgery of Signature Equivalent to Factorisation

Welcome to the resource topic for 2001/011

Title:
New Zero-knowledge Undeniable Signatures - Forgery of Signature Equivalent to Factorisation

Authors: Wenbo Mao

Abstract:

We propose a new zero-knowledge undeniable signature scheme which is
based on the intractability of computing high-order even powers modulo
a composite. The new scheme has a number of desirable properties: (i)
forgery of a signature (including existential forgery) is proven to be
equivalent to factorisation, (ii) perfect zero-knowledge, (iii)
efficient protocols for signature verification and non-signature
denial: both measured by O(\log k) (multiplications) where 1/k
bounds the probability of error. For a denial protocol, this
performance is unprecedented.

ePrint: https://eprint.iacr.org/2001/011

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