New Zero-knowledge Undeniable Signatures - Forgery of Signature Equivalent to Factorisation.
Wenbo Mao · 2001
We propose a new zero-knowledge undeniable signature scheme which isbased 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) e cient protocols for signature veri cation and nonsignature denial: both measured by O(log k) (multiplications) where 1=k bounds the probability of error. For a denial protocol, this performance is unprecedented.