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Recently, several cryptosystems have been proposed based semidirect products of various algebraic structures. Efficient attacks against several of them have already been given, along with a very general attack. The purpose of this note is…

Cryptography and Security · Computer Science 2021-09-24 Chris Monico

We use matrices over bit strings as platforms for Diffie-Hellman-like public key exchange protocols. When multiplying matrices like that, we use Boolean OR operation on bit strings in place of addition and Boolean AND operation in place of…

Cryptography and Security · Computer Science 2021-06-03 Nael Rahman , Vladimir Shpilrain

In this survey, we describe a general key exchange protocol based on semidirect product of (semi)groups (more specifically, on extensions of (semi)groups by automorphisms), and then focus on practical instances of this general idea. This…

Cryptography and Security · Computer Science 2016-04-21 Delaram Kahrobaei , Vladimir Shpilrain

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 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

Of the many families of cryptographic schemes proposed to be post-quantum, a relatively unexplored set of examples comes from group-based cryptography. One of the more central schemes from this area is the so-called Semidirect Product Key…

Cryptography and Security · Computer Science 2023-04-26 Christopher Battarbee , Delaram Kahrobaei , Siamak F. Shahandashti

This paper presents a novel methodology to test the security of the Diffie-Hellman public key exchange protocol. The security of many cryptographic schemes rely on the hardness of this problem. We are presenting a purely statistical test to…

Statistics Theory · Mathematics 2007-06-13 I. Florescu , A. Myasnikov , A. Mahalanobis

In this paper we explore several contexts where an adversary has an upper hand over the defender by using special hardware in an attack. These include password processing, hard-drive protection, cryptocurrency mining, resource sharing, code…

Cryptography and Security · Computer Science 2018-01-31 Alex Biryukov , Dmitry Khovratovich

We show that a linear decomposition attack based on the decomposition method introduced by the author works by finding the exchanged secret keys in all main protocols using semidirect products of (semi)grops proposed by Kahrobaei,…

Cryptography and Security · Computer Science 2015-01-07 Vitaliĭ Roman'kov

This report presents some technical details on the authentication process of a lightweight key exchange protocol, paying attention on how Man-in-the-Middle (MitM) attacks could undermine its security, e.g., under the scope of lawful…

Cryptography and Security · Computer Science 2025-10-14 Daniel Hennig , Joaquin Garcia-Alfaro

Blockchains and other public ledger structures promise a new way to create globally consistent event logs and other records. We make use of this consistency property to detect and prevent man-in-the-middle attacks in a key exchange such as…

Cryptography and Security · Computer Science 2017-08-14 Thanh Bui , Tuomas Aura

Key-exchange protocols have been overlooked as a possible means for implementing oblivious transfer (OT). In this paper we present a protocol for mutual exchange of secrets, 1-out-of-2 OT and coin flipping similar to Diffie-Hellman protocol…

Cryptography and Security · Computer Science 2008-01-10 Abhishek Parakh

We introduce a symmetrization technique which can be used as an extra step in some continuous-variable quantum key distribution protocols. By randomizing the data in phase space, one can dramatically simplify the security analysis of the…

Quantum Physics · Physics 2012-02-29 Anthony Leverrier

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

An algorithm is presented which implements a probabilistic attack on the key-exchange protocol based on permutation parity machines. Instead of imitating the synchronization of the communicating partners, the strategy consists of a Monte…

Cryptography and Security · Computer Science 2012-10-26 Luís F. Seoane , Andreas Ruttor

Ephemeral Diffie-Hellman Over COSE (EDHOC) aims at being a very compact and lightweight authenticated Diffie-Hellman key exchange with ephemeral keys. It is expected to provide mutual authentication, forward secrecy, and identity…

Cryptography and Security · Computer Science 2022-09-12 Baptiste Cottier , David Pointcheval

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 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

We present here an information theoretic study of Gaussian collective attacks on the continuous variable key distribution protocols based on Gaussian modulation of coherent states. These attacks, overlooked in previous security studies,…

Quantum Physics · Physics 2009-11-10 Frederic Grosshans

The widespread use of wireless sensor networks (WSNs) that are consisted of resource-constrained sensor nodes in communication with gateways in open-space environments and industries has highlighted the need for a secure yet fast…

Cryptography and Security · Computer Science 2022-07-26 Sina Baghbanijam , Hanie Sanaei , Mahdi Farajzadeh
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