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The notion of branch numbers of a linear transformation is crucial for both linear and differential cryptanalysis. The number of non-zero elements in a state difference or linear mask directly correlates with the active S-Boxes. The…

Cryptography and Security · Computer Science 2024-09-24 P. R. Mishra , Yogesh Kumar , Susanta Samanta , Atul Gaur

We describe random processes (with binary alphabet) whose entropy is less than 1 (per letter), but they mimic true random process, i.e., by definition, generated sequence can be interpreted as the result of the flips of a fair coin with…

Information Theory · Computer Science 2015-12-23 Boris Ryabko

We theoretically propose a symmetric encryption scheme based on Restricted Boltzmann Machines that functions as a probabilistic Enigma device, encoding information in the marginal distributions of visible states while utilizing bias…

Statistical Mechanics · Physics 2025-07-24 Bin Chen , Weichao Yu

In this paper, we investigate the probabilistic formal verification of stochastic dynamical systems over continuous state spaces. Motivated by problems in state estimation and information-flow security, we introduce the notion of…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Bohan Cui , Jianing Zhao , Yu Chen , Alessandro Abate , Marta Kwiatkowska , Xiang Yin

Random packings and their properties are a popular and active field of research. Numerical algorithms that can efficiently generate them are useful tools in their study. This paper focuses on random packings produced according to the random…

Computational Physics · Physics 2019-12-25 Michał Cieśla , Piotr Kubala , Ge Zhang

Fast secure random number generation is essential for high-speed encrypted communication, and is the backbone of information security. Generation of truly random numbers depends on the intrinsic randomness of the process used and is usually…

Quantum Physics · Physics 2019-05-15 Ben Haylock , Daniel Peace , Francesco Lenzini , Christian Weedbrook , Mirko Lobino

A systematic study of the probability distribution of superimposed random codes is presented through the use of generating functions. Special attention is paid to the cases of either uniformly distributed but not necessarily independent or…

Databases · Computer Science 2008-06-19 Bernd Günther

The notion of strong structural controllability (s-controllability) allows for determining controllability properties of large linear time-invariant systems even when numerical values of the system parameters are not known a priori. The…

Optimization and Control · Mathematics 2019-02-01 Kumar Yashashwi , Shana Moothedath , Prasanna Chaporkar

Most cryptosystems are defined over finite algebraic structures where arithmetic operations are performed modulo natural numbers. This applies to private key as well as to public key ciphers. No secure cryptosystems defined over the field…

Cryptography and Security · Computer Science 2016-02-16 Youssef Hassoun

A dynamic SBox using a chaotic map is a cryptography technique that changes the SBox during encryption based on iterations of a chaotic map, adding an extra layer of confusion and security to symmetric encryption algorithms like AES. The…

Cryptography and Security · Computer Science 2023-10-11 Kashif Ishaq , Khwaja Ahmad Hassan , Yahya Tauqeer Bhatti

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

Neural and Evolutionary Computing · Computer Science 2018-02-14 Dianhui Wang , Ming Li

Stochastic computing (SC) is an emerging computing technique which offers higher computational density, and lower power over binary-encoded (BE) computation. Unlike BE computation, SC encodes values as probabilistic bitstreams which makes…

Emerging Technologies · Computer Science 2018-10-12 Vincent T. Lee , Armin Alaghi , Luis Ceze , Mark Oskin

Due to the superiority of quantum computing, traditional cryptography is facing severe threat. This makes the security evaluation of cryptographic systems in quantum attack models significant and urgent. For symmetric ciphers, the security…

Quantum Physics · Physics 2024-07-16 Huiqin Xie , Qiqing Xia , Ke Wang , Yanjun Li , Li Yang

A pair of lower and upper cumulative distribution functions, also called probability box or p-box, is among the most popular models used in imprecise probability theory. They arise naturally in expert elicitation, for instance in cases…

Probability · Mathematics 2018-08-10 Matthias C. M. Troffaes , Sebastien Destercke

Aiming for strong security assurance, recently there has been an increasing interest in formal verification of cryptographic constructions. This paper presents a mechanised formal verification of the popular Pedersen commitment protocol,…

Cryptography and Security · Computer Science 2019-01-17 Roberto Metere , Changyu Dong

Quantum physics can be exploited to generate true random numbers, which play important roles in many applications, especially in cryptography. Genuine randomness from the measurement of a quantum system reveals the inherent nature of…

Quantum Physics · Physics 2016-08-29 Xiongfeng Ma , Xiao Yuan , Zhu Cao , Bing Qi , Zhen Zhang

We introduce and study the model of simply generated non-crossing partitions, which are, roughly speaking, chosen at random according to a sequence of weights. This framework encompasses the particular case of uniform non-crossing…

Probability · Mathematics 2017-06-30 Igor Kortchemski , Cyril Marzouk

In this paper, we present the synthesis of secure-by-construction controllers that address safety and security properties simultaneously in cyber-physical systems. Our focus is on studying a specific security property called opacity, which…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Bingzhuo Zhong , Siyuan Liu , Marco Caccamo , Majid Zamani

State space subspace algorithms for input-output systems have been widely applied but also have a reasonably well-developedasymptotic theory dealing with consistency. However, guaranteeing the stability of the estimated system matrix is a…

Systems and Control · Electrical Eng. & Systems 2024-08-19 Xinhui Rong , Victor Solo

Informally, an extractor delivers perfect randomness from a source that may be far away from the uniform distribution, yet contains some randomness. This task is a crucial ingredient of any attempt to produce perfectly random…

Information Theory · Computer Science 2012-12-04 Wolfgang Mauerer , Christopher Portmann , Volkher B. Scholz