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Evolutionary theorizing resembles building an aircraft while also piloting it; new results change the scaffold for older ideas, requiring revised strategy to remain airborne. A calculated kinetic pathway exists that, under explicit…

Populations and Evolution · Quantitative Biology 2024-10-11 Michael Yarus

Motivated by DNA data storage, we study the expected number of coded symbols drawn from a linear code until a desired information symbol can be decoded - the random access expectation. We focus on generator matrices with a type of symmetry,…

Information Theory · Computer Science 2026-05-19 Christoph Hofmeister , Rawad Bitar , Eitan Yaakobi

The spectral test of random number generators (R.R. Coveyou and R.D. McPherson, 1967) is generalized. The sequence of random numbers is analyzed explicitly not just via their n-tupel distributions. The generalized analysis of many…

Computational Physics · Physics 2008-02-03 Oliver Schnetz

The ultimate random number generators are those certified to be unpredictable -- including to an adversary. The use of simple quantum processes promises to provide numbers that no physical observer could predict but, in practice, unwanted…

Many Random Number Generators (RNG) are available nowadays; they are divided in two categories, hardware RNG, that provide "true" random numbers, and algorithmic RNG, that generate pseudo random numbers (PRNG). Both types usually generate…

Information Theory · Computer Science 2018-09-28 Andrea C. G. Mennucci

In array-based DNA synthesis, multiple strands of DNA are synthesized in parallel to reduce the time cost from the sum of their lengths to the length their shortest common supersequences. To maximize the amount of information that can be…

Information Theory · Computer Science 2024-05-29 Hsin-Po Wang , Chi-Wei Chin

In a group testing scheme, a set of tests is designed to identify a small number $t$ of defective items that are present among a large number $N$ of items. Each test takes as input a group of items and produces a binary output indicating…

Information Theory · Computer Science 2016-11-17 Arya Mazumdar

There has been much research on codes over $\mathbb{Z}_4$, sometimes called quaternary codes, for over a decade. Yet, no database is available for best known quaternary codes. This work introduces a new database for quaternary codes. It…

Information Theory · Computer Science 2015-05-14 Nuh Aydin , Tsvetan Asamov

The aim of this paper is to present a new design for a pseudorandom number generator (PRNG) that is cryptographically secure, passes all of the usual statistical tests referenced in the literature and hence generates high quality random…

Cryptography and Security · Computer Science 2025-03-25 Juan Di Mauro , Eduardo Salazar , Hugo D. Scolnik

Quantum random number generation exploits inherent randomness of quantum mechanical processes and measurements. Real-time generation rate of quantum random numbers is usually limited by electronic bandwidth and data processing rates. Here…

Quantum Physics · Physics 2020-01-08 Xiaomin Guo , Chen Cheng , Mingchuan Wu , Qingzhong Gao , Pu Li , Yanqiang Guo

The heart of every Monte Carlo simulation is a source of high quality random numbers and the generator has to be picked carefully. Since the ``Ferrenberg affair'' it is known to a broad community that statistical tests alone do not suffice…

Statistics Theory · Mathematics 2007-06-13 Mario Ruetti , Matthias Troyer , Wesley P. Petersen

Generating molecules, both in a directed and undirected fashion, is a huge part of the drug discovery pipeline. Genetic algorithms (GAs) generate molecules by randomly modifying known molecules. In this paper we show that GAs are very…

Neural and Evolutionary Computing · Computer Science 2023-10-16 Austin Tripp , José Miguel Hernández-Lobato

In a multicellular organism different cell types express a gene in different amounts. Samples from which gene expression levels can be measured typically contain a mixture of different cell types, the resulting measurements thus give only…

Quantitative Methods · Quantitative Biology 2017-08-09 Nico Riedel , Johannes Berg

We show that textual analysis of microbial genomes reveal telling footprints of the early evolution of the genomes. The frequencies of word occurrence of random DNA sequences considered as texts in their four nucleotides are expected to…

Biological Physics · Physics 2007-05-23 Li-Ching Hsieh , Liaofu Luo , HC Lee

General wisdom is, mathematical operation is needed to generate number by numbers. It is pointed out that without any mathematical operation true random numbers can be generated by numbers through algorithmic process. It implies that human…

Data Structures and Algorithms · Computer Science 2009-06-16 Arindam Mitra

Quantum random number generators (QRNGs) produce random numbers based on the intrinsic probabilistic nature of quantum mechanics, making them true random number generators (TRNGs). In this paper, we design and fabricate an embedded QRNG…

We propose a simple algorithm for generating normally distributed pseudo random numbers. The algorithm simulates N molecules that exchange energy among themselves following a simple stochastic rule. We prove that the system is ergodic, and…

Condensed Matter · Physics 2009-10-31 J. F. Fernandez , Carlos Criado

Pseudorandom values are often generated as 64-bit binary words. These random words need to be converted into ranged values without statistical bias. We present an efficient algorithm to generate multiple independent uniformly-random bounded…

Data Structures and Algorithms · Computer Science 2025-04-08 Nevin Brackett-Rozinsky , Daniel Lemire

The nonlinear dynamics of transverse and polarization modes of a broad-area vertical-cavity surface-emitting laser (BA-VCSEL) exhibit, without any external perturbation, chaos with high correlation dimension, large bandwidth (BW), and good…

Optics · Physics 2026-04-08 Yohann G. Sanvert , Jules Mercadier , Stefan Bittner , Marc Sciamanna

Pseudo-random number generators (PRNGs) are widely used in modern computing and are expected to exhibit excellent statistical performance and repeatability. This study evaluates and compares modern PRNGs used in high performance computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Théau Wartel , David R. C. Hill