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It had been widely claimed that quantum mechanics can protect private information during public decision in for example the so-called two-party secure computation. If this were the case, quantum smart-cards could prevent fake teller…

Quantum Physics · Physics 2009-10-30 Hoi-Kwong Lo

This article introduces a novel cryptographic paradigm based on nonderived polyadic algebraic structures. Traditional cryptosystems rely on binary operations within groups, rings, or fields, whose well-understood properties can be exploited…

Cryptography and Security · Computer Science 2025-12-17 Steven Duplij , Na Fu , Qiang Guo

We present a deep embedding of Bellantoni and Cook's syntactic characterization of polytime functions. We prove formally that it is correct and complete with respect to the original characterization by Cobham that required a bound to be…

Computational Complexity · Computer Science 2021-03-23 Sylvain Heraud , David Nowak

Let $G_1$ be a cyclic multiplicative group of order $n$. It is known that the Diffie-Hellman problem is random self-reducible in $G_1$ with respect to a fixed generator $g$ if $\phi(n)$ is known. That is, given $g, g^x\in G_1$ and having…

Cryptography and Security · Computer Science 2007-05-23 Amitabh Saxena , Ben Soh

Ensuring the safety of complex dynamical systems often relies on Hamilton-Jacobi (HJ) Reachability Analysis or Control Barrier Functions (CBFs). Both methods require computing a function that characterizes a safe set that can be made…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Jixian Liu , Enrique Mallada

In this work we investigate the problem of simultaneous privacy and integrity protection in cryptographic circuits. We consider a white-box scenario with a powerful, yet limited attacker. A concise metric for the level of probing and fault…

Cryptography and Security · Computer Science 2009-07-27 Berndt M. Gammel , Stefan Mangard

We study the complexity classes P and NP through a semigroup fP ("polynomial-time functions"), consisting of all polynomially balanced polynomial-time computable partial functions. Then P is not equal to NP iff fP is a non-regular…

Group Theory · Mathematics 2015-03-09 J. C. Birget

Cryptographic protocols, such as protocols for secure function evaluation (SFE), have played a crucial role in the development of modern cryptography. The extensive theory of these protocols, however, deals almost exclusively with classical…

Quantum Physics · Physics 2015-07-08 Sean Hallgren , Adam Smith , Fang Song

Recently, two certificateless three-party authenticated key agreement protocols were proposed, and both protocols were claimed they can meet the desirable security properties including forward security, key compromise impersonation…

Cryptography and Security · Computer Science 2013-01-23 Haiyan Sun , Qiaoyan Wen , Hua Zhang , Zhengping Jin , Wenmin Li

This is a study of the security of the Coherent One-Way (COW) protocol for quantum cryptography, proposed recently as a simple and fast experimental scheme. In the zero-error regime, the eavesdropper Eve can only take advantage of the…

Quantum Physics · Physics 2008-02-05 Cyril Branciard , Nicolas Gisin , Norbert Lutkenhaus , Valerio Scarani

In secure multiparty computation, mutually distrusting users in a network want to collaborate to compute functions of data which is distributed among the users. The users should not learn any additional information about the data of others…

Information Theory · Computer Science 2016-11-15 Deepesh Data , Bikash Kumar Dey , Manoj Mishra , Vinod M. Prabhakaran

Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups. The…

Cryptography and Security · Computer Science 2011-03-23 Benjamin Fine , Maggie Habeeb , Delaram Kahrobaei , Gerhard Rosenberger

Diffie-Hellman groups are commonly used in cryptographic protocols. While most state-of-the-art, symbolic protocol verifiers support them to some degree, they do not support all mathematical operations possible in these groups. In…

Cryptography and Security · Computer Science 2026-01-30 Sofia Giampietro , Ralf Sasse , David Basin

We consider information theoretic secret key agreement and secure function computation by multiple parties observing correlated data, with access to an interactive public communication channel. Our main result is an upper bound on the…

Information Theory · Computer Science 2015-06-01 Himanshu Tyagi , Shun Watanabe

We introduce a new protocol for secure two-party computation of linear functions in the semi-honest model, based on coding techniques. We first establish a parallel between the second version of the wire-tap channel model and secure…

Cryptography and Security · Computer Science 2013-06-27 Hervé Chabanne , Gérard Cohen , Alain Patey

We investigate the Goldreich-Levin Theorem in the context of quantum information. This result is a reduction from the computational problem of inverting a one-way function to the problem of predicting a particular bit associated with that…

Quantum Physics · Physics 2007-05-23 Mark Adcock , Richard Cleve

We propose a hash function based on arithmetic coding and public-key cryptography. The resistance of the hash function to second preimage attack, collision and differential cryptanalysis is based on the properties of arithmetic coding as a…

Cryptography and Security · Computer Science 2015-03-17 Rene Ndoundam , Juvet Karnel Sadie , Patrick Nguening Nguembu

We consider the problem of secure communications over the two-way wiretap channel under a strong secrecy criterion. We improve existing results by developing an achievable region based on strategies that exploit both the interference at the…

Information Theory · Computer Science 2015-03-17 Alexandre J. Pierrot , Matthieu R. Bloch

We propose an efficient quantum protocol performing quantum bit commitment, which is a simple cryptographic primitive involved with two parties, called a committer and a verifier. Our protocol is non-interactive, uses no supplemental shared…

Quantum Physics · Physics 2013-09-03 Tomoyuki Yamakami

The evaluation of logic locking methods has long been predicated on an implicit assumption that only the correct key can unveil the true functionality of a protected circuit. Consequently, a locking technique is deemed secure if it resists…

Cryptography and Security · Computer Science 2024-08-26 Yinghua Hu , Hari Cherupalli , Mike Borza , Deepak Sherlekar
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