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The famous Fiat-Shamir transformation turns any public-coin three-round interactive proof, i.e., any so-called sigma-protocol, into a non-interactive proof in the random-oracle model. We study this transformation in the setting of a quantum…

Cryptography and Security · Computer Science 2020-07-28 Jelle Don , Serge Fehr , Christian Majenz , Christian Schaffner

The Fiat-Shamir transformation is a famous technique to turn identification schemes into signature schemes. The derived scheme is provably secure in the random-oracle model against classical adversaries. Still, the technique has also been…

Cryptography and Security · Computer Science 2013-06-04 Özgür Dagdelen , Marc Fischlin Tommaso Gagliardoni

The random oracle model (ROM) enjoys widespread popularity, mostly because it tends to allow for tight and conceptually simple proofs where provable security in the standard model is elusive or costly. While being the adequate replacement…

Quantum Physics · Physics 2022-01-28 Alex B. Grilo , Kathrin Hövelmanns , Andreas Hülsing , Christian Majenz

Applying the Fiat-Shamir transform on identification schemes is one of the main ways of constructing signature schemes. While the classical security of this transformation is well understood, it is only very recently that generic results…

Quantum Physics · Physics 2021-03-17 André Chailloux

Quantum zero-knowledge proofs and quantum proofs of knowledge are inherently difficult to analyze because their security analysis uses rewinding. Certain cases of quantum rewinding are handled by the results by Watrous (SIAM J Comput, 2009)…

Quantum Physics · Physics 2018-02-13 Andris Ambainis , Ansis Rosmanis , Dominique Unruh

Commit-and-open Sigma-protocols are a popular class of protocols for constructing non-interactive zero-knowledge arguments and digital-signature schemes via the Fiat-Shamir transformation. Instantiated with hash-based commitments, the…

Cryptography and Security · Computer Science 2022-03-02 Jelle Don , Serge Fehr , Christian Majenz , Christian Schaffner

It is notably challenging to design an efficient and secure signature scheme based on error-correcting codes. An approach to build such signature schemes is to derive it from an identification protocol through the Fiat-Shamir transform. All…

Information Theory · Computer Science 2019-04-22 Emanuele Bellini , Florian Caullery , Philippe Gaborit , Marc Manzano , Victor Mateu

Quantum secure signature schemes have a lot of attention recently, in particular because of the NIST call to standardize quantum safe cryptography. However, only few signature schemes can have concrete quantum security because of technical…

Quantum Physics · Physics 2017-09-21 André Chailloux , Thomas Debris-Alazard

The Fischlin transform yields non-interactive zero-knowledge proofs with straight-line extractability in the classical random oracle model. This is done by forcing a prover to generate multiple accepting transcripts through a proof-of-work…

Cryptography and Security · Computer Science 2026-02-20 Christian Majenz , Jaya Sharma

In this paper, we extend the protocol of classical verification of quantum computations (CVQC) recently proposed by Mahadev to make the verification efficient. Our result is obtained in the following three steps: $\bullet$ We show that…

Quantum Physics · Physics 2020-03-16 Nai-Hui Chia , Kai-Min Chung , Takashi Yamakawa

Ring signatures are a powerful primitive that allows a member to sign on behalf of a group, without revealing their identity. Recently, ring signatures have received additional attention as an ingredient for post-quantum deniable…

Cryptography and Security · Computer Science 2026-02-19 Marvin Beckmann , Christian Majenz

We provide bounds on the efficiency of secure one-sided output two-party computation of arbitrary finite functions from trusted distributed randomness in the statistical case. From these results we derive bounds on the efficiency of…

Cryptography and Security · Computer Science 2014-05-09 Severin Winkler , Jürg Wullschleger

We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case of two-party protocols with security against malicious…

Cryptography and Security · Computer Science 2008-11-08 Yuval Ishai , Manoj Prabhakaran , Amit Sahai

From the minimal assumption of post-quantum semi-honest oblivious transfers, we build the first $\epsilon$-simulatable two-party computation (2PC) against quantum polynomial-time (QPT) adversaries that is both constant-round and black-box…

Cryptography and Security · Computer Science 2023-11-07 Nai-Hui Chia , Kai-Min Chung , Xiao Liang , Takashi Yamakawa

We reconsider the concept of multi-prover commitments, as introduced in the late eighties in the seminal work by Ben-Or et al. As was recently shown by Cr\'{e}peau et al., the security of known two-prover commitment schemes not only relies…

Quantum Physics · Physics 2015-05-13 Serge Fehr , Max Fillinger

We study the quantum security of key-alternating ciphers (KAC), a natural multi-round generalization of the Even--Mansour construction. KAC abstracts the round structure of practical block ciphers as public permutations interleaved with key…

Quantum Physics · Physics 2025-10-13 Chen Bai , Mehdi Esmaili , Atul Mantri

We perform formal verification of quantum circuits by integrating several techniques specialized to particular classes of circuits. Our verification methodology is based on the new notion of a reversible miter that allows one to leverage…

Quantum Physics · Physics 2013-05-01 Shigeru Yamashita , Igor L. Markov

In known security reductions for the Fujisaki-Okamoto transformation, decryption failures are handled via a reduction solving the rather unnatural task of finding failing plaintexts given the private key, resulting in a Grover search bound.…

Cryptography and Security · Computer Science 2022-03-22 Kathrin Hövelmanns , Andreas Hülsing , Christian Majenz

The Quantum Fourier transform (QFT) is a key ingredient in most quantum algorithms. We have compared various spin-based quantum computing schemes to implement the QFT from the point of view of their actual time-costs and the accuracy of the…

Quantum Physics · Physics 2014-08-07 Kavita Dorai , Dieter Suter

Iterative Refinement (IR) is a classical computing technique for obtaining highly precise solutions to linear systems of equations, as well as linear optimization problems. In this paper, motivated by the limited precision of quantum…

Optimization and Control · Mathematics 2023-12-19 Mohammadhossein Mohammadisiahroudi , Brandon Augustino , Pouya Sampourmahani , Tamás Terlaky
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