[PDF] Top 20 Transparent Polynomial Delegation and Its Applications to Zero Knowledge Proof

... new transparent zkVPD scheme with O(N log N ) prover time, O(log 2 N ) proof size and verification time, where N is the size of the ...the polynomial evaluation as the inner product between two ... See full document

... promise ZK in our construction involves overcoming several technical challenges due to specific prop- erties of the promise ZK simulator (in particular, its requirement to behave honestly in look-ahead threads). 9 ... See full document

... Since many of the schemes we refer to are very complex but have been detailed ex- tensively elsewhere, we emphasise only the key points that we are interested in, and refer the reader to the original papers and the ... See full document

... To find a heavy vertex in T, K chooses polynomially many random vertices at each level, and determines their degrees by repeated resets and executions of ¯ P . To ensure a uniform probability distribution in spite of the ... See full document

... However, its communication cost depends linearly on β, which may be a significant drawback for large ...two applications of the SternExt proof ... See full document

... Shamir, zero-knowledge proofs have played a significant role in modern cryptography: they allow a party to convince another party of the validity of a statement (proof of membership) or of its ... See full document

... cryptographic applications such as non-membership or member- ship ...verifier zero-knowledge argu- ment for correct polynomial ...the polynomial, which is a significant improvement over ... See full document

... super polynomial time ...typical applications of WI , to get any useful security we must somehow ensure that the statement being proven has at least two ... See full document

... a zero-knowledge version of the argument of knowledge implicitly presented in vSQL ...a zero-knowledge property we replace both of the underlying components with ... See full document

... to adding a formal verification back-end for code generation is to build a certified number theory library that matches the one provided with the CACE compiler. Then, the com- pilation from C to binaries can be certified ... See full document

... extracts its inputs and random coins from the extractable commitment, sends the inputs to the ideal functionality to learn the outcome and provides it to S im to generate the basic flows of the honest ... See full document

... In a secure multi-party computation, a set of n par- ties with private inputs wish to jointly and securely compute a function that depends on the individual in- puts of the parties. This computation should be such that ... See full document

... and its limitations, where the quality is exogenous (we refer to Dranove and Jin (2010) for an overview, and to Ben-Porath, Dekel and Lipman (2017) and DeMarzo, Kremer and Skrzypacz (2019) for more recent models ... See full document

... Private Set Intersection (PSI) protocols allow two parties, each with a private set, to securely compute the intersection of their sets. It was first introduced by Freedman et al in [1]. Their protocol is based on ... See full document

... Q[x], polynomial rings over the field of real numbers R[x], polynomial rings over the field of complex numbers C[x] or polynomial rings of integral coefficients ...The zero element is 0 and ... See full document

... Traditional anonymous credentials designs are based on public key signatures: the credential Alice holds is a special type of signature on the attributes. When she presents the credential to Bob, she proves (in ... See full document

... preserve zero knowledge, then the round complexity of the MIP * that is obtained in Lemma ...to its PCP oracle, then the preprocessing step is not required, and we can save an additional ... See full document

... A large database be present in society today .Medical data, Consumer purchase data, Census data, Communication and media-related data, Data gathered by government agencies can this data be utilized For medical research, ... See full document

... correctness proof, using standard techniques as suggested by the authors, is of the same size. The program can only be used once, but on the other hand it is reasonably efficient and can be based on cryptosystems ... See full document

... on zero-knowledge proofs of knowledge (ZKPKs) and ...(iii) zero-knowledge: if the statement is true, then no cheating verifier can learn anything other than the fact that the statement ... See full document