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A key component of many lattice-based protocols is a zero-knowledge proof of knowledge of a vector s⃗ s→ with small coefficients satisfying As⃗ =u⃗ modqAs→=u→modq. While there exist ...
In this work we present a new interactive Zero-Knowledge Argument of knowledge for general arithmetic circuits. Our protocol is based on the ``MPC-in-the-head''-paradigm of Ishai et al. (STOC 2009) an...
The area of practical proof systems, like SNARKs, STARKs, or Bulletproofs, is seeing a very dynamic development. Many use-cases of such systems involve, often as their most expensive apart, proving th...
The area of practical proof systems, like SNARKs, STARKs, or Bulletproofs, is seeing a very dynamic development. Many use-cases of such systems involve, often as their most expensive apart, proving th...
We devise new techniques for design and analysis of efficient lattice-based zero-knowledge proofs (ZKP). First, we introduce one-shot proof techniques for non-linear polynomial relations of degree k≥2...
We present Libra, the first zero-knowledge proof system that has both optimal prover time and succinct proof size/verification time. In particular, if C is the size of the circuit being proved (i) the...
We introduce and study the notion of fully linear probabilistically checkable proof systems. In such a proof system, the verifier can make a small number of linear queries that apply jointly to the in...
We show that every language in BQP admits a classical-verifier, quantum-prover zero-knowledge argument system which is sound against quantum polynomial-time provers and zero-knowledge for classical (a...
Zero-knowledge proofs have become an important tool for addressing privacy and scalability concerns in cryptocurrencies and other applications. In many systems each client downloads and verifies every...
We study the problem of building SNARKs modularly by linking small specialized “proof gadgets" SNARKs in a lightweight manner. Our motivation is both theoretical and practical. On the theoretical side...
We finally close the long-standing problem of constructing a noninteractive zero-knowledge (NIZK) proof system for any NP language with security based on the plain Learning With Errors (LWE) problem, ...
Ishai et al. [28, 29] introduced a powerful technique that provided a general transformation from secure multiparty computation (MPC) protocols to zero-knowledge (ZK) proofs in a black-box way, called...
With the recent emergence of efficient zero-knowledge (ZK) proofs for general circuits, while efficient zero-knowledge proofs of algebraic statements have existed for decades, a natural challenge aros...
We construct non-interactive zero-knowledge (NIZK) arguments for NPNP from any circular-secure fully homomorphic encryption (FHE) scheme. In particular, we obtain such NIZKs under a circular-secure va...
The round complexity of zero-knowledge protocols is a long-standing open question, yet to be settled under standard assumptions. So far, the question has appeared equally challenging for relaxations s...

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