[PDF] Top 20 Interactive and zero-knowledge proofs

... Interactive and zero-knowledge proofs Molli Noland Follow this and additional works at: http://scholarworks.rit.edu/theses This Thesis is brought to you for free and open access by the ... See full document

... introduced zero-knowledge proofs with witness elimination which enable to prove that a committed message m belongs to a set L in such a way that the verifier accepts the interaction only if m does ... See full document

... of Knowledge Pyrros Chaidos ? and Geoffroy Couteau ?? ...non-interactive zero-knowledge proofs (DVNIZK) for a wide class of algebraic languages over abelian groups, under standard ... See full document

... In this section we use the building blocks we constructed in Sections 4 and 3, to devise proofs for compound statements. In the following, we distinguish between functions that have an efficient al- gebraic ... See full document

... Online-extractable proofs are a specific form of proofs of knowledge where extraction is supposed to work by only looking at the proofs generated by the adversary and at the oracle queries ... See full document

... Else return (verification, sid, pid, 0) Figure 3: Universally composable NIZK proof for R. Theorem 8 The protocol φ in Figure 3 securely realizes F NIZK R in the F NIZK R F -hybrid model. Proof. We have to show that for ... See full document

... Ontario, Canada Abstract Current authentication protocols seek to establish authenticated sessions over insecure channels while maintaining a small footprint considering the energy consumption and computational ... See full document

... isolating zero-knowledge protocols for MIP with only two provers to the ...single-prover zero-knowledge proofs, there is a sequential composition theorem which states that executing ... See full document

... the interactive protocol and the Fiat-Shamir transformed protocol is that, in the latter case, P ∗ can query the random oracle many times in hopes that some query will return a “lucky” message to which it knows ... See full document

... Our approach to solving the problem is to let the chal- lenge the that prover must answer be jointly determined by both the prover and verifier, and then no one can learns or controls it in advance. The advantage that ... See full document

... (non-interactive) zero-knowledge proof needs to fulfill in order to serve as a computa- tionally sound implementation of symbolic zero-knowledge ...symbolically-sound ... See full document

... produced by the non-interactive computation C ∗ . In other words, whatever information can be learned by interacting with A on some input x can also be extracted from x without interacting with A. Remark 1.3. ZKPs ... See full document

... As a function of the security parameters, our protocols have the smallest known asymptotic communication complexity among general proofs or arguments for NP. Moreover, the constants involved are small enough for ... See full document

... These proofs can be made non-interactive using Fiat-Shamir paradigm and will clearly imply that the matrix underlying P π is indeed a permutation ... See full document

... their proofs depends on the secret elements that are used, and that has to be taken into account in an interactive setting to avoid timing ...the proofs it could still be more efficient to use a ... See full document

... public-coin interactive proof system in which the verifier sends m messages and each of the prover messages is of length p, if the cheating probability for an unbounded prover is ǫ, then there exist (p/O(log 1 ǫ ... See full document

... “all-powerful” entity to provide the verifier with collisions, i.e., multiple third-round messages consistent with the same first-round message. This idea was directly inspired by the recent work of Haitner et al. [26], ... See full document

... Department of Computer Science, Aarhus University {rikkeb, ivan}@cs.au.dk Abstract. We present a variant of Regev’s cryptosystem first presented in [Reg05], but with a new choice of parameters. By a recent classical re- ... See full document

... valid proofs if they know the secret function. Existing zero knowledge proof protocols mitigate this vulnerability by using a trusted setup phase as in Zcash in which they use an extensive Multiparty ... See full document

... Honest-Verifier Zero-Knowledge: We only show that the protocol is zero-knowledge when the prover does not abort prior to sending z j ...non-interactive proofs via the Fiat-Shamir ... See full document