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We present here some results of applying the Cayley-Dickson process to certain alternative algebras (notably built upon Galois fields and congruence rings), in a manner which might yield new building blocks for cryptographic systems. We…

Rings and Algebras · Mathematics 2007-05-23 Hubert Holin

We present strong attacks against quantum key distribution schemes which use quantum memories and quantum gates to attack directly the final key. We analyze a specific attack of this type, for which we find the density matrices available to…

Quantum Physics · Physics 2016-09-08 E. Biham , T. Mor

In recent years cyber-attacks are continuously developing. This means that hackers can find their way around the traditional cryptosystems. This calls for new and more secure cryptosystems to take their place. This paper outlines a new…

Cryptography and Security · Computer Science 2020-08-31 Awnon Bhowmik , Unnikrishnan Menon

The goal of quantum key distribution (QKD) is to establish a secure key between two parties connected by an insecure quantum channel. To use a QKD protocol in practice, one has to prove that a finite size key is secure against general…

Quantum Physics · Physics 2023-11-21 Tony Metger , Renato Renner

Security of practical continuous-variable quantum key distribution is addressed and a security analysis framework, which does not rely on phase-space symmetries of signal states and correlations, is developed. In a general…

Quantum Physics · Physics 2019-08-06 Vladyslav C. Usenko

This paper analyzes the security of a recent cryptosystem based on the ergodicity property of chaotic maps. It is shown how to obtain the secret key using a chosen-ciphertext attack. Some other design weaknesses are also shown.

Chaotic Dynamics · Physics 2009-11-13 David Arroyo , Gonzalo Alvarez , Shujun Li , Chengqing Li , Veronica Fernandez

Recent trend towards cloud computing paradigm, smart devices and 4G wireless technologies has enabled seamless data sharing among users. Cloud computing environment is distributed and untrusted, hence data owners have to encrypt their data…

Cryptography and Security · Computer Science 2016-02-04 Yogachandran Rahulamathavan

In this article, we have proposed a generalized Lucas matrix (recursive matrix of higher order) having relation with generalized Fibonacci sequences and established many special properties in addition to that usual matrix algebra. Further,…

Cryptography and Security · Computer Science 2026-02-03 Kalika Prasad , Hrishikesh Mahato , Munesh Kumari

In 1998 [8], Patarin proposed an efficient cryptosystem called Little Dragon which was a variant a variant of Matsumoto Imai cryptosystem C*. However Patarin latter found that Little Dragon cryptosystem is not secure [8], [3]. In this paper…

Cryptography and Security · Computer Science 2010-07-15 Rajesh P Singh , Anupam Saikia , B. K. Sarma

In this paper, we consider continuous-variable quantum key distribution with a discrete modulation, either binary or quaternary. We establish the security of these protocols against the class of collective attacks that induce a linear…

Quantum Physics · Physics 2015-03-13 Anthony Leverrier , Philippe Grangier

The article explores the creation of a cryptosystem using a halidon group ring of a dihedral group. Due to the non-abelian nature of the group, constructing the cryptosystem is more challenging compared to an abelian group. The logic used…

Cryptography and Security · Computer Science 2024-10-29 A. Telveenus

This paper proposes a novel, non-linear collusion attack on digital fingerprinting systems. The attack is proposed for fingerprinting systems with finite alphabet but can be extended to continuous alphabet. We analyze the error probability…

Cryptography and Security · Computer Science 2016-04-28 Jalal Etesami , Negar Kiyavash

We construct a new protocol for attribute-based encryption with the use of the modification of the standard secret sharing scheme. In the suggested modification of the secret sharing scheme, only one master key for each user is required…

Cryptography and Security · Computer Science 2020-11-24 M. A. Kudinov , A. A. Chilikov , E. O. Kiktenko , A. K. Fedorov

The MOR cryptosystem is a natural generalization of the El-Gamal cryptosystem to non-abelian groups. Using a $p$-group, a cryptosystem was built by this author in 'A simple generalization of El-Gamal cryptosystem to non-abelian groups'. It…

Cryptography and Security · Computer Science 2007-05-23 Ayan Mahalanobis

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

This paper contains the results collected so far on polynomial composites in terms of many basic algebraic properties. Since it is a polynomial structure, results for monoid domains come in here and there. The second part of the paper…

Commutative Algebra · Mathematics 2021-06-01 Magdalena Jankowska , Lukasz Matysiak

By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connected sums of prime knots and their mutants. The scheme…

Mathematical Physics · Physics 2011-12-26 Annalisa Marzuoli , Giandomenico Palumbo

This paper presents two modifications for Loidreau's code-based cryptosystem. Loidreau's cryptosystem is a rank metric code-based cryptosystem constructed by using Gabidulin codes in the McEliece setting. Recently a polynomial-time key…

Information Theory · Computer Science 2021-04-07 Wenshuo Guo , Fangwei Fu

In this short note, we develop a novel idea of a bilinear cryptosystem using the discrete logarithm problem in matrices. These matrices come from a linear representation of a finite $p$-group of class 2. We discuss an example at the end.

Cryptography and Security · Computer Science 2017-11-23 Ayan Mahalanobis , Pralhad Shinde

In this paper we propose a tokenization algorithm of Reversible Hybrid type, as defined in PCI DSS guidelines for designing a tokenization solution, based on a block cipher with a secret key and (possibly public) additional input. We…

Cryptography and Security · Computer Science 2019-04-26 Riccardo Longo , Massimiliano Sala , Riccardo Aragona