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We study algebras and varieties where every non-trivial congruence has some class being a non-trivial subuniverse of the algebra in question. Then we focus on algebras where this non-trivial class is a unique non-singleton class of the…

Rings and Algebras · Mathematics 2022-03-31 Ivan Chajda , Helmut Länger

Classical algebraic structures require exact satisfaction of their defining axioms. We propose similarity algebra, a framework extending algebraic and Lie structures to settings where operations satisfy quantitative bounds up to a tolerance…

Rings and Algebras · Mathematics 2026-02-17 Benyamin Ghojogh , Golbahar Amanpour

This paper is the part-II of the previous paper and introduces the world of Yuen's concept. In the theory of cryptology, the Shannon impossibility theorem states that the upper bound of the security of a plaintext against a ciphertext-only…

Quantum Physics · Physics 2025-04-25 Osamu Hirota

The widespread adoption of blockchain technology has amplified the spectrum of potential threats to its integrity and security. The ongoing quest to exploit vulnerabilities emphasizes how critical it is to expand on current research…

Cryptography and Security · Computer Science 2024-04-30 Kaustubh Dwivedi , Ankit Agrawal , Ashutosh Bhatia , Kamlesh Tiwari

Evidence of signatures associated with cryptographic modes of operation is established. Motivated by some analogies between cryptographic and dynamical systems, in particular with chaos theory, we propose an algorithm based on Lyapunov…

Cryptography and Security · Computer Science 2015-04-13 Jeaneth Machicao , Jan M. Baetens , Anderson G. Marco , Bernard De Baets , Odemir M. Bruno

In this paper, we will propose a new synchronous stream cipher named DICING, which can be viewed as a clock-controlled one but with a new mechanism of altering steps. It has satisfactory performance and there have not been found weakness…

Cryptography and Security · Computer Science 2009-03-21 An-Ping Li

Due to their interesting features, blockchains have become popular in recent years. They are full-stack systems where security is a critical factor for their success. The main focus of this work is to systematize knowledge about security…

Cryptography and Security · Computer Science 2019-04-16 Ivan Homoliak , Sarad Venugopalan , Qingze Hum , Pawel Szalachowski

Code Language Models (CLMs) have achieved tremendous progress in source code understanding and generation, leading to a significant increase in research interests focused on applying CLMs to real-world software engineering tasks in recent…

Cryptography and Security · Computer Science 2024-11-13 Yulong Yang , Haoran Fan , Chenhao Lin , Qian Li , Zhengyu Zhao , Chao Shen , Xiaohong Guan

A new approach to group classification problems and more general investigations on transformational properties of classes of differential equations is proposed. It is based on mappings between classes of differential equations, generated by…

Mathematical Physics · Physics 2009-04-22 O. O. Vaneeva , R. O. Popovych , C. Sophocleous

Deep learning (DL) approaches are achieving extraordinary results in a wide range of domains, but often require a massive collection of private data. Hence, methods for training neural networks on the joint data of different data owners,…

Cryptography and Security · Computer Science 2021-10-27 Derian Boer , Stefan Kramer

Several cryptographic protocols constructed based on less-known algorithmic problems, such as those in non-commutative groups, group rings, semigroups, etc., which claim quantum security, have been broken through classical reduction methods…

Cryptography and Security · Computer Science 2022-07-28 Simran Tinani

Linear (or differential) cryptanalysis may seem dull topics for a mathematician: they are about super simple invariants characterized by say a word on n=64 bits with very few bits at 1, the space of possible attacks is small, and basic…

Cryptography and Security · Computer Science 2019-05-14 Nicolas T. Courtois , Aidan Patrick

Attacks on classical cryptographic protocols are usually modeled by allowing an adversary to ask queries from an oracle. Security is then defined by requiring that as long as the queries satisfy some constraint, there is some problem the…

Quantum Physics · Physics 2011-09-01 Ivan Damgaard , Jakob Funder , Jesper Buus Nielsen , Louis Salvail

Quantum cryptography uses techniques and ideas from physics and computer science. The combination of these ideas makes the security proofs of quantum cryptography a complicated task. To prove that a quantum-cryptography protocol is secure,…

Quantum Physics · Physics 2015-05-13 Normand J. Beaudry

Stream mining poses unique challenges to machine learning: predictive models are required to be scalable, incrementally trainable, must remain bounded in size (even when the data stream is arbitrarily long), and be nonparametric in order to…

Machine Learning · Statistics 2015-08-21 Rocco De Rosa , Francesco Orabona , Nicolò Cesa-Bianchi

The use of alternative operations in differential cryptanalysis, or alternative notions of differentials, are lately receiving increasing attention. Recently, Civino et al. managed to design a block cipher which is secure w.r.t. classical…

Cryptography and Security · Computer Science 2024-01-10 Marco Calderini , Roberto Civino , Riccardo Invernizzi

Differential cryptanalysis famously uses statistical biases in the propagation of differences in a block cipher to attack the cipher. In this paper, we investigate the existence of more general statistical biases in the differences. To this…

Cryptography and Security · Computer Science 2022-08-09 Daniele Bartoli , Lukas Kölsch , Giacomo Micheli

In this paper we design a stream cipher that uses the algebraic structure of the multiplicative group $\bbbz_p^*$ (where p is a big prime number used in ElGamal algorithm), by defining a quasigroup of order $p-1$ and by doing quasigroup…

Cryptography and Security · Computer Science 2007-05-23 Danilo Gligoroski

In recent years, stream data have become an immensely growing area of research for the database, computer science and data mining communities. Stream data is an ordered sequence of instances. In many applications of data stream mining data…

Databases · Computer Science 2014-02-10 Nishant Vadnere , R. G. Mehta , D. P. Rana , N. J. Mistry , M. M. Raghuwanshi

Despite the de-facto technological uniformity fostered by the cloud and edge computing paradigms, resource fragmentation across isolated clusters hinders the dynamism in application placement, leading to suboptimal performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-26 Marco Iorio , Fulvio Risso , Alex Palesandro , Leonardo Camiciotti , Antonio Manzalini
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