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We study a key exchange protocol based on isogenies between ordinary elliptic curves over a finite field, first mentioned by Couveignes and investigated by Rostovtsev and Stolbunov. After presenting the fundamental notions about elliptic…

Number Theory · Mathematics 2018-04-27 Jean Kieffer

We describe a framework for constructing an efficient non-interactive key exchange (NIKE) protocol for n parties for any n >= 2. Our approach is based on the problem of computing isogenies between isogenous elliptic curves, which is…

Cryptography and Security · Computer Science 2018-09-03 Dan Boneh , Darren Glass , Daniel Krashen , Kristin Lauter , Shahed Sharif , Alice Silverberg , Mehdi Tibouchi , Mark Zhandry

Non-interactive key exchange (NIKE) enables two or multiple parties (just knowing the public system parameters and each other's public key) to derive a (group) session key without the need for interaction. Recently, NIKE in multi-party…

Cryptography and Security · Computer Science 2024-07-16 Rui Zhang , Lei Zhang

Akiyama et al. (Int. J. Math. Indust., 2019) proposed a post-quantum key exchange protocol that is based on the hardness of solving a system of multivariate non-linear polynomial equations but has a design strategy different from ordinary…

Cryptography and Security · Computer Science 2022-05-20 Keita Suzuki , Koji Nuida

Today's information society relies on cryptography to achieve security goals such as confidentiality, integrity, authentication, and non-repudiation for digital communications. Here, public-key cryptosystems play a pivotal role to share…

Cryptography and Security · Computer Science 2024-12-19 Paul Staat , Meik Dörpinghaus , Azadeh Sheikholeslami , Christof Paar , Gerhard Fettweis , Dennis Goeckel

Known key exchange schemes offering information-theoretic (unconditional) security are complex and costly to implement. Nonetheless, they remain the only known methods for achieving unconditional security in key exchange. Therefore, the…

Cryptography and Security · Computer Science 2024-02-27 Laszlo B. Kish

We investigate the post-quantum security of the encrypted key exchange(EKE) protocols based on some basic physical parameters of ion-trap quantum computer, and show that the EKE protocol with a 40-bit password will be secure against a…

Quantum Physics · Physics 2013-06-24 Li Yang , Rui-Rui Zhou

A Post-Quantum Key Exchange is needed since the availability of quantum computers that allegedly allow breaking classical algorithms like Diffie-Hellman, El Gamal, RSA and others within a practical amount of time is broadly assumed in…

Cryptography and Security · Computer Science 2018-01-22 G. Brands , C. B. Roellgen , K. U. Vogel

We present in this paper an algorithm for exchanging session keys, coupled with a hashing encryption module. We show schemes designed for their potential invulnerability to classical and quantum attacks. In turn, if the parameters included…

Cryptography and Security · Computer Science 2023-01-24 Hugo Daniel Scolnik , Juan Pedro Hecht

This paper studies cryptographic key exchange in satellite communications, which requires specific solutions because the satellite context presents unique challenges, particularly concerning onboard resource constraints and long…

Cryptography and Security · Computer Science 2026-05-28 Davide De Zuane , Marco Baldi , Paolo Santini , Grégoire Anchelergues , Daniele Romano , Alessandro Cammarano , Juan José Grosso

With rapid increase of mobile computing and wireless network linkage, the information exchange between connected systems and within groups increases heavily. Exchanging confidential information within groups via unsecured communication…

Cryptography and Security · Computer Science 2020-02-26 Peter Hillmann , Marcus Knüpfer , Tobias Guggemos , Klement Streit

The security of neural cryptography is investigated. A key-exchange protocol over a public channel is studied where the parties exchanging secret messages use multilayer neural networks which are trained by their mutual output bits and…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Mislovaty , Y. Perchenok , Ido Kanter , Wolfgang Kinzel

Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isogeny is believed to be computationally difficult. The fastest…

Quantum Physics · Physics 2018-04-17 Andrew M. Childs , David Jao , Vladimir Soukharev

In this work we construct an alternative model for Authenticated Key Exchange, intended to build a theoretic security framework for protocols whose characteristics may not always concur with the specifics of already existing models for…

Cryptography and Security · Computer Science 2026-05-25 Rodrigo Martín Sánchez-Ledesma , David Domingo Martín , Iván Blanco Chacón , Ignacio Luengo Velasco

This paper concerns the Minimal Internet Key Exchange (IKE) protocol, which has received little attention to date, despite its potential to make the best-known IKE protocol sufficiently lightweight to be also applied in contexts where it is…

Cryptography and Security · Computer Science 2026-02-26 Davide De Zuane , Paolo Santini , Marco Baldi

Diffie-Hellman key exchange is at the foundations of public-key cryptography, but conventional group-based Diffie-Hellman is vulnerable to Shor's quantum algorithm. A range of "post-quantum Diffie-Hellman" protocols have been proposed to…

Cryptography and Security · Computer Science 2019-12-17 Benjamin Smith

Since the security of post-quantum cryptography (PQC) algorithms is based on the hardness of mathematical problems, while the security of quantum key distribution (QKD) relies on the fundamental principles of quantum physics, each approach…

Cryptography and Security · Computer Science 2025-10-06 Abel C. H. Chen

Narrowband Internet of Things (NB-IoT) is a wireless communication technology that enables a wide range of applications, from smart cities to industrial automation. As a part of the 5G extension, NB-IoT promises to connect billions of…

Cryptography and Security · Computer Science 2023-09-08 Kadir Sabanci , Mumin Cebe

Random key graphs represent topologies of secure wireless sensor networks that apply the seminal Eschenauer-Gligor random key predistribution scheme to secure communication between sensors. These graphs have received much attention and also…

Physics and Society · Physics 2015-02-03 Jun Zhao , Osman Yağan , Virgil Gligor

In this paper, a new key-agreement scheme is proposed and analyzed. In addition to being provably secure in shared secret key indistinguishability model, the scheme has an interesting feature: while using exponentiation over a cyclic…

Cryptography and Security · Computer Science 2021-06-08 Abdelhaliem Babiker
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