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In this work we present a model for computation of random processes in digital computers which solves the problem of periodic sequences and hidden errors produced by correlations. We show that systems with non-invertible non-linearities can…

Statistical Mechanics · Physics 2007-05-23 Monica A. Garcia-Nustes , Leonardo Trujillo , Jorge A. Gonzalez

Cellular Automata(CA) is a discrete computing model which provides simple, flexible and efficient platform for simulating complicated systems and performing complex computation based on the neighborhoods information. CA consists of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-12 Debasis Das , Rajiv Misra

A major problem in using iterative number generators of the form x_i=f(x_{i-1}) is that they can enter unexpectedly short cycles. This is hard to analyze when the generator is designed, hard to detect in real time when the generator is…

Cryptography and Security · Computer Science 2010-11-02 Adi Shamir , Boaz Tsaban

Reversible Cellular Automata (RCA) are a particular kind of shift-invariant transformations characterized by a dynamics composed only of disjoint cycles. They have many applications in the simulation of physical systems, cryptography and…

Neural and Evolutionary Computing · Computer Science 2021-05-26 Luca Mariot , Stjepan Picek , Domagoj Jakobovic , Alberto Leporati

We consider the problem of constructing an erasure code for storage over a network when the data sources are distributed. Specifically, we assume that there are n storage nodes with limited memory and k<n sources generating the data. We…

Information Theory · Computer Science 2016-11-15 Alexandros G. Dimakis , Vinod Prabhakaran , Kannan Ramchandran

A pseudorandom number generator is widely used in cryptography. A cryptographic pseudorandom number generator is required to generate pseudorandom numbers which have good statistical properties as well as unpredictability. An m-sequence is…

Information Theory · Computer Science 2018-02-14 Kazuyoshi Tsuchiya , Yasuyuki Nogami , Satoshi Uehara

Recovering the digital input of a time-discrete linear system from its (noisy) output is a significant challenge in the fields of data transmission, deconvolution, channel equalization, and inverse modeling. A variety of algorithms have…

Optimization and Control · Mathematics 2020-12-03 Sophie M. Fosson

Based on Restricted Boltzmann Machines (RBMs), an improved pseudo-stochastic sequential cipher generator is proposed. It is effective and efficient because of the two advantages: this generator includes a stochastic neural network that can…

Cryptography and Security · Computer Science 2016-08-18 Fei Hu , Xiaofei Xu , Tao Peng , Changjiu Pu , Li Li

We develop novel protocols for generating loss-tolerant quantum codes; these are central for safeguarding information against qubit losses, with most crucial applications in quantum communications. Contrary to current proposals, our method…

Quantum Physics · Physics 2025-03-31 Francesco Cesa , Tommaso Feri , Angelo Bassi

We present a new approach to constructing of pseudo-random binary sequences (PRS) generators for the purpose of cryptographic data protection, secured from the perpetrator's attacks, caused by generation of masses of hardware errors and…

Cryptography and Security · Computer Science 2018-09-10 Oleg Finko , Sergey Dichenko

Cryptographic schemes using one-dimensional, three-neighbor cellular automata as a primitive have been put forth since at least 1985. Early results showed good statistical pseudorandomness, and the simplicity of their construction made them…

Cryptography and Security · Computer Science 2013-06-18 Jason Spencer

We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking…

Condensed Matter · Physics 2009-10-31 S. C. Benjamin , N. F. Johnson

Lots of researches indicate that the inefficient generation of random numbers is a significant bottleneck for information communication applications. Therefore, Field Programmable Gate Array (FPGA) is developed to process a scalable…

Cryptography and Security · Computer Science 2016-08-23 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Laurent Larger

Pseudo-random number generators (PRNGs) are essential in a wide range of applications, from cryptography to statistical simulations and optimization algorithms. While uniform randomness is crucial for security-critical areas like…

Cryptography and Security · Computer Science 2025-01-03 Jianan Wu , Ahmet Yusuf Salim , Eslam Elmitwalli , Selçuk Köse , Zeljko Ignjatovic

We present an iterative approach to constructing pseudorandom generators, based on the repeated application of mild pseudorandom restrictions. We use this template to construct pseudorandom generators for combinatorial rectangles and…

Computational Complexity · Computer Science 2012-10-02 Parikshit Gopalan , Raghu Meka , Omer Reingold , Luca Trevisan , Salil Vadhan

This study presents a novel deterministic optimization algorithm based on a special variant of the Linear Congruential Generator (LCG). While conventional algorithms generally operate within the search space, the introduced technique…

Optimization and Control · Mathematics 2026-05-07 Ahmed Qasim Mohammed , Haider Banka , Anamika Singh

Unsourced random access (URA) has emerged as a pragmatic framework for next-generation distributed sensor networks. Within URA, concatenated coding structures are often employed to ensure that the central base station can accurately recover…

Information Theory · Computer Science 2021-12-02 Vamsi K. Amalladinne , Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

Generating random and pseudorandom numbers with a deterministic system is a long-standing challenge in theoretical research and engineering applications. Several pseudorandom number generators based on the inversive congruential method have…

Discrete Mathematics · Computer Science 2024-01-17 Xiaoxiong Lu , Chengqing Li , Bo Zhou

Several recent results in machine learning have established formal connections between autoencoders---artificial neural network models that attempt to reproduce their inputs---and other coding models like sparse coding and K-means. This…

Machine Learning · Computer Science 2013-01-22 Leif Johnson , Craig Corcoran

We consider the problem of solving a family of parametric mixed-integer linear optimization problems where some entries in the input data change. We introduce the concept of cutting-plane layer (CPL), i.e., a differentiable cutting-plane…

Optimization and Control · Mathematics 2023-11-10 Gabriele Dragotto , Stefan Clarke , Jaime Fernández Fisac , Bartolomeo Stellato