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We propose a new cryptosystem by combing the Lissajous map, which is the asymptotic model of deterministic randomness, with the one-way coupled map lattice (OCML) system. The key space, the encryption efficiency, and the security are…

Chaotic Dynamics · Physics 2009-11-11 Jiantao Zhou , Wenjiang Pei , Kai Wang , Jie Huang , Zhenya He

Symbolic regression automates the process of learning closed-form mathematical models from data. Standard approaches to symbolic regression, as well as newer deep learning approaches, rely on heuristic model selection criteria, heuristic…

Machine Learning · Statistics 2025-07-29 Roger Guimera , Marta Sales-Pardo

Even if the output of a Random Number Generator (RNG) is perfectly uniformly distributed, it may be correlated to pre-existing information and therefore be predictable. Statistical tests are thus not sufficient to guarantee that an RNG is…

Quantum Physics · Physics 2013-11-20 Daniela Frauchiger , Renato Renner , Matthias Troyer

The statistical distribution, when determined from an incomplete set of constraints, is shown to be suitable as host for encrypted information. We design an encoding/decoding scheme to embed such a distribution with hidden information. The…

Statistical Mechanics · Physics 2015-06-25 L. Rebollo-Neira , A Plastino

Generating secure random numbers is vital to the security and privacy infrastructures we rely on today. Having a computer system generate a secure random number is not a trivial problem due to the deterministic nature of computer systems.…

Cryptography and Security · Computer Science 2018-04-10 JV Roig

We develop the theory of cryptographic nondeterministic-secure pseudorandomness beyond the point reached by Rudich's original work (Rudich 1997), and apply it to draw new consequences in average-case complexity and proof complexity.…

Computational Complexity · Computer Science 2025-01-14 Iddo Tzameret , Lu-Ming Zhang

Semi-device independent (Semi-DI) quantum random number generators (QRNG) gained attention for security applications, offering an excellent trade-off between security and generation rate. This paper presents a proof-of-principle time-bin…

Privacy preservation in machine learning, particularly through Differentially Private Stochastic Gradient Descent (DP-SGD), is critical for sensitive data analysis. However, existing statistical inference methods for SGD predominantly focus…

Machine Learning · Statistics 2025-12-15 Xintao Xia , Linjun Zhang , Zhanrui Cai

In recent years, numerous incidents involving the leakage of website accounts and text passwords (referred to as passwords) have raised significant concerns regarding the potential exposure of personal information. These events underscore…

Cryptography and Security · Computer Science 2026-04-07 Abel C. H. Chen

One of the key requirement of many schemes is that of random numbers. Sequence of random numbers are used at several stages of a standard cryptographic protocol. A simple example is of a Vernam cipher, where a string of random numbers is…

Computational Physics · Physics 2015-10-06 Ram Soorat , Madhuri K. , Ashok Vudayagiri

Mean value and cross-covariance function of chaotic binary sequences are evaluated for chaotic maps with specific properties. We also take into account the effect of fixed- and floating-point representations on statistical properties of…

Chaotic Dynamics · Physics 2008-05-29 Bogdan Cristea

Random number generation is crucial in many aspects of everyday life, as online security and privacy depend ultimately on the quality of random numbers. Many current implementations are based on pseudo-random number generators, but…

The generation of random numbers is a task of paramount importance in modern science. A central problem for both classical and quantum randomness generation is to estimate the entropy of the data generated by a given device. Here we present…

This article proposes the use of pseudorandom decimal sequences that have gone through an additional random mapping for the design of cryptographic keys. These sequences are generated by starting with inverse prime expansions in base 3 and…

Cryptography and Security · Computer Science 2015-07-03 B. Prashanth Reddy

Random bit generators (RBGs) are key components of a variety of information processing applications ranging from simulations to cryptography. In particular, cryptographic systems require "strong" RBGs that produce high-entropy bit…

Quantum Physics · Physics 2007-05-23 M. Fiorentino , C. M. Santori , S. M. Spillane , W. J. Munro , R. G. Beausoleil

Cryptographic primitives such as stream ciphers,Pseudorandom Number Generators (PRNGs), and block cipher modes produce sequences that are designed to be statistically indistinguishable from random data. As a result, the traditional…

Cryptography and Security · Computer Science 2026-05-20 Victor Kebande

Cryptographic random number generation is critical for any quantum safe encryption. Based on the natural uncertainty of some quantum processes, variety of quantum random number generators or QRNGs have been created with physical quantum…

Quantum Physics · Physics 2023-03-03 Randy Kuang , Dafu Lou , Alex He , Chris McKenzie , Michael Redding

This paper presents a new generator of chaotic bit sequences with mixed-mode (continuous and discrete) inputs. The generator has an improved level of chaotic properties in comparison with the existing single source (input) digital chaotic…

Chaotic Dynamics · Physics 2017-12-27 Michal Melosik , Wieslaw Marszalek

Random number generation is a key technology that is useful in a variety of ways. Random numbers are often used to generate keys for data encryption. Random numbers generated at a sufficiently long length can encrypt sensitive data and make…

Hardware Architecture · Computer Science 2022-09-12 Jacob Hammond

In this work, pseudorandom sequence generators based on finite fields have been analyzed from the point of view of their cryptographic application. In fact, a class of nonlinear sequence generators has been modelled in terms of linear…

Cryptography and Security · Computer Science 2010-05-12 Amparo Fuster-Sabater , Pino Caballero-Gil