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We present a cryptanalysis of a key exchange protocol based on the digital semiring. For this purpose, we find the maximal solution of a linear system over such semiring, and use the properties of circulant matrix to demonstrate that the…

Cryptography and Security · Computer Science 2025-06-18 Alvaro Otero Sanchez

We show that a previously introduced key exchange based on a congruence-simple semiring action is not secure by providing an attack that reveals the shared key from the distributed public information for any of such semirings

Cryptography and Security · Computer Science 2024-02-16 Otero Sanchez Alvaro , Lopez Ramos Juan Antonio

We consider a key-exchange protocol based on matrices over a tropical semiring which was recently proposed in \cite{grig19}. We show that a particular private parameter of that protocol can be recovered with a simple binary search,…

Cryptography and Security · Computer Science 2020-09-23 Dylan Rudy , Chris Monico

It was recently demonstrated that the Matrix Action Key Exchange (MAKE) algorithm, a new type of key exchange protocol using the semidirect product of matrix groups, is vulnerable to a linear algebraic attack if the matrices are over a…

Cryptography and Security · Computer Science 2021-07-28 Christopher Battarbee , Delaram Kahrobaei , Siamak F. Shahandashti

We offer a public key exchange protocol based on a semidirect product of two cyclic (semi)groups of matrices over Z_p. One of the (semi)groups is additive, the other one multiplicative. This allows us to take advantage of both operations on…

Cryptography and Security · Computer Science 2021-03-12 Nael Rahman , Vladimir Shpilrain

We consider a key exchange procedure whose security is based on the difficulty of computing discrete logarithms in a group, and where exponentiation is hidden by a conjugation. We give a platform-dependent cryptanalysis of this protocol.…

Cryptography and Security · Computer Science 2012-09-28 Mohammad Eftekhari

In a recent paper [arXiv:2009.00716], Rahman and Shpilrain proposed a new key-exchange protocol MAKE based on external semidirect product of groups. The purpose of this paper is to show that the key exchange protocol is insecure. We were…

Cryptography and Security · Computer Science 2020-12-02 Chris Monico , Ayan Mahalanobis

Post-quantum cryptography is essential for securing digital communications against threats posed by quantum computers. Re-searchers have focused on developing algorithms that can withstand attacks from both classical and quantum computers,…

Cryptography and Security · Computer Science 2025-01-22 Juan Pedro Hecht , Hugo Daniel Scolnik

We offer a public key exchange protocol in the spirit of Diffie-Hellman, but we use (small) matrices over a group ring of a (small) symmetric group as the platform. This "nested structure" of the platform makes computation very efficient…

Cryptography and Security · Computer Science 2013-02-08 Delaram Kahrobaei , Charalambos Koupparis , Vladimir Shpilrain

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

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

In this paper, we describe a brand new key exchange protocol based on a semidirect product of (semi)groups (more specifically, on extension of a (semi)group by automorphisms), and then focus on practical instances of this general idea. Our…

Cryptography and Security · Computer Science 2013-04-25 Maggie Habeeb , Delaram Kahrobaei , Charalambos Koupparis , Vladimir Shpilrain

We present an improved post-quantum version of Sakalauskas matrix power function key agreement protocol, using rectangular matrices instead of the original square ones. Sakalauskas matrix power function is an efficient and secure way to…

Cryptography and Security · Computer Science 2024-04-03 Juan Pedro Hecht , Hugo Daniel Scolnik

We address a cryptanalysis of two protocols based on the supposed difficulty of discrete logarithm problem on (semi) groups of matrices over a group ring. We can find the secret key and break entirely the protocols.

Cryptography and Security · Computer Science 2015-03-17 Mohammad Eftekhari

We show that two new key exchange protocols with security based on the triple DP may have security based on the MSCSP.

Cryptography and Security · Computer Science 2007-12-06 M. M. Chowdhury

In this paper, we will present a new key exchange cryptosystem based on linear algebra, which take less operations but weaker in security than Diffie-Hellman's one.

Cryptography and Security · Computer Science 2008-01-20 An-Ping Li

A new 4-pass Key-Agreement Protocol is presented. The security of the protocol mainly relies on the existence of a (polynomial-computable) One-Way-Function and the supposed computational hardness of solving a specific system of equations.

Cryptography and Security · Computer Science 2009-04-08 Bjoern Grohmann

In this article, we describe a key exchange protocol based on right transversals. We also describe it for general extension associated to right loops.

Group Theory · Mathematics 2015-01-06 Akhilesh Chandra Yadav , Vipul Kakkar

This paper introduces a variant for the symmetric matrix-based key distribution in sensor network introduced by Du et al. Our slight modification shows that the usage of specific structures for the public matrix instead of fully random…

Cryptography and Security · Computer Science 2009-09-29 Abedelaziz Mohaisen

Encryption has increasingly been used in all applications for various purposes, but it also brings big challenges to network security. In this paper, we take first steps towards addressing some of these chal- lenges by introducing a novel…

Cryptography and Security · Computer Science 2017-12-19 Shoufu Luo , Sven Dietrich
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