From Laconic Zero-Knowledge to Public-Key Cryptography
@article{Berman2017FromLZ, title={From Laconic Zero-Knowledge to Public-Key Cryptography}, author={Itay Berman and Akshay Degwekar and Ron D. Rothblum and Prashant Nalini Vasudevan}, journal={Electron. Colloquium Comput. Complex.}, year={2017}, volume={24}, pages={172} }
Since its inception, public-key encryption (\(\mathsf {PKE}\)) has been one of the main cornerstones of cryptography. A central goal in cryptographic research is to understand the foundations of public-key encryption and in particular, base its existence on a natural and generic complexity-theoretic assumption. An intriguing candidate for such an assumption is the existence of a cryptographically hard language Open image in new window .
10 Citations
Minicrypt Primitives with Algebraic Structure and Applications
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- 2019
Algebraic structure lies at the heart of Cryptomania as we know it. An interesting question is the following: instead of building (Cryptomania) primitives from concrete assumptions, can we build them…
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This paper focuses on a special class of primitives that allow an untrusted party to transform a ciphertext encrypted under one key to a Ciphertext under another key, using some auxiliary information that does not leak the underlying data.
On Succinct Arguments and Witness Encryption from Groups
- Mathematics, Computer ScienceCRYPTO
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The state-of-the-art in succinctness is due to Groth (Eurocrypt 2016) who constructed a SNARG from bilinear maps where the proof consists of just 3 group elements.
Towards Malicious Security of Private Coin Honest Verifier Zero Knowledge for NP via Witness Encryption
- Computer Science, MathematicsInscrypt
- 2018
A three-round zero knowledge protocol with super-polynomial simulation (or zero knowledge in \(\mathcal {F}_{OT}\)-hybrid model) for NP, assuming the existence of Yao’s garble circuit and two-message oblivious transfer protocol (or ideal oblivious transfer).
Cryptography from Information Loss
- Computer Science, MathematicsITCS
- 2020
This work defines a non-standard one-sided notion of average-case hardness, which is the notion of hardness used in the second result above, that may be of independent interest.
Public-Coin Statistical Zero-Knowledge Batch Verification against Malicious Verifiers
- Computer Science, MathematicsElectron. Colloquium Comput. Complex.
- 2021
This work constructs a public-coin maliciousverifier SZK protocol for batch verification of NISZK, and the communication complexity of this protocol is ( k + poly(m) ) · polylog(k,m).
Placing Conditional Disclosure of Secrets in the Communication Complexity Universe
- Computer ScienceIACR Cryptol. ePrint Arch.
- 2018
In this paper, the CDS complexity of a predicate f is related to its communication complexity under various communication games and it is shown that allowing for imperfect correctness can significantly reduce communication – a seemingly new phenomenon in the context of information-theoretic cryptography.
Quasi-Optimal SNARGs via Linear Multi-Prover Interactive Proofs
- Mathematics, Computer ScienceIACR Cryptol. ePrint Arch.
- 2018
This work focuses on simultaneously minimizing the proof size and the prover complexity of SNARGs, and defines a SNARG as quasi-optimally succinct if its proof length is \(\widetilde{O}(\lambda )\), and that it is quasi-optimal if moreover, its provers complexity is only polylogarithmically greater than the running time of the classical \(\mathsf {NP} \) prover.
Batch Verification for Statistical Zero Knowledge Proofs
- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2020
It is shown that, for every problem Π, there exists an honest-verifier SZK protocol for batch verification of k instances, with communication complexity poly(n)+k ·poly(log n, log k), where poly refers to a fixed polynomial that depends only on Π (and not on k).
Succinct Interactive Oracle Proofs: Applications and Limitations
- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2022
This work studies succinct IOPs, which are IOP s in which the communication complexity is polynomial (or even linear) in the original witness, and shows both new applications, and limitations, for succinct IO s.
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