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EUROCRYPT
1999
Springer
15 years 1 months ago
Proving in Zero-Knowledge that a Number Is the Product of Two Safe Primes
Abstract. We present the first efficient statistical zero-knowledge protocols to prove statements such as: – A committed number is a prime. – A committed (or revealed) number ...
Jan Camenisch, Markus Michels
TCC
2009
Springer
130views Cryptology» more  TCC 2009»
15 years 10 months ago
Adaptive Zero-Knowledge Proofs and Adaptively Secure Oblivious Transfer
In the setting of secure computation, a set of parties wish to securely compute some function of their inputs, in the presence of an adversary. The adversary in question may be st...
Yehuda Lindell, Hila Zarosim
TCC
2010
Springer
163views Cryptology» more  TCC 2010»
15 years 4 months ago
Concise Mercurial Vector Commitments and Independent Zero-Knowledge Sets with Short Proofs
Introduced by Micali, Rabin and Kilian (MRK), the basic primitive of zero-knowledge sets (ZKS) allows a prover to commit to a secret set S so as to be able to prove statements such...
Benoît Libert, Moti Yung
75
Voted
CRYPTO
2009
Springer
144views Cryptology» more  CRYPTO 2009»
15 years 4 months ago
On the Composition of Public-Coin Zero-Knowledge Protocols
Abstract. We show that only languages in BPP have public-coin, blackbox zero-knowledge protocols that are secure under an unbounded (polynomial) number of parallel repetitions. Thi...
Rafael Pass, Wei-Lung Dustin Tseng, Douglas Wikstr...
CRYPTO
2009
Springer
89views Cryptology» more  CRYPTO 2009»
15 years 4 months ago
Linear Algebra with Sub-linear Zero-Knowledge Arguments
We suggest practical sub-linear size zero-knowledge arguments for statements involving linear algebra. Given commitments to matrices over a finite field, we give a sub-linear siz...
Jens Groth