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Key-and-Argument-Updatable QA-NIZKs     BPK model  CRS model  QA-NIZK       font style='font-size:12px;'> 2019/4/3
There are several new efficient approaches to decrease the trust in the CRS creators in the case of non-interactive zero knowledge (NIZK) in the CRS model. Recently, Groth et al. (CRYPTO 2018) defined...
Zero knowledge property, proved by means of augmented black-box simulation, is called augmented black-box zero-knowledge. We present a 5-round statistical augmented black-box zero-knowledge argument f...
An Efficient Pairing-Based Shuffle Argument     Common reference string  generic group model  mix-net       font style='font-size:12px;'> 2017/9/18
We prove the knowledge-soundness of the first two subarguments in the generic bilinear group model, and the culpable soundness of the third subargument under a KerMDH assumption. This proves the sound...
A Shuffle Argument Secure in the Generic Model     Common reference string  generic bilinear group model  mix-net       font style='font-size:12px;'> 2016/12/9
We propose a new random oracle-less NIZK shuffle argument. It has a simple structure, where the first verification equation ascertains that the prover has committed to a permutation matrix, the second...
We are interested in constructing short two-message arguments for various languages, where the complexity of the verifier is small (e.g. linear in the input size, or even sublinear if it is coded pr...
Verification of a polynomial’s evaluation in a secret committed value plays a role in cryptographic applications such as non-membership or membership proofs. We construct a novel special honest verifi...
Efficient Culpably Sound NIZK Shuffle Argument without Random Oracles     Bilinear pairings  CRS model  mix-net       font style='font-size:12px;'> 2015/12/21
One way to guarantee security against malicious voting servers is to use NIZK shuffle arguments. Up to now, only two NIZK shuffle arguments in the CRS model have been proposed. Both arguments are re...
We propose a new pairing-based non-interactive perfectly zero-knowledge shuffle argument that has smaller communication and is based on more standard computational cryptographic assumptions than the o...
In resetting attacks against a proof system, a prover or a verifier is reset and enforced to use the same random tape on various inputs as many times as an adversary may want. Recent deployment of clo...
Fixed Argument Pairings     Pairings  Miller’s algorithm  Tate pairing  ate pairing  precomputation       font style='font-size:12px;'> 2010/7/14
A common scenario in many pairing-based cryptographic protocols is that one argument in the pairing is fixed as a long term secret key or a constant parameter in the system. In these situations,...
An argument for Hamiltonicity     Hamiltonicity  Schwartz-Zippel lemma  characteristic polynomial       font style='font-size:12px;'> 2009/6/8
A constant-round interactive argument is introduced to show exis- tence of a Hamiltonian cycle in a directed graph. Graph is represented with a characteristic polynomial, top coefficient of a verifi...
Argument of knowledge of a bounded error     Protocol  bounded error  Goppa polynomial       font style='font-size:12px;'> 2009/6/5
A protocol is introduced to show knowledge of a codeword of Goppa code and Goppa polynomial. Protocol does not disclosure any useful information about the codeword and polynomial coefficients. A rel...
An argument for rank metric     argument  rank metric  matrix elements       font style='font-size:12px;'> 2009/6/5
A protocol is introduced to show an upper bound for rank of a square matrix.Prover shows his knowledge of matrix elements committed, as well as a statement regarding the matrix with a protocol intro...
Using a model based on probabilistic functions (PF), it’s introduced the concept of perfect zero knowledge (PZK) commitment scheme (CS) allowing quasigroupic homomorphic commitment (QHC). Using QHC ...

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