Pseudorandom number generation using chaotic true orbits of the Bernoulli map

DOI10.1063/1.4954023zbMath1422.65018OpenAlexW2466819461WikidataQ38846209 ScholiaQ38846209MaRDI QIDQ4591841

Akihiro Yamaguchi, Asaki Saito

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4954023

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Random number generation in numerical analysis (65C10)

Related Items (4)

Second-level randomness test based on the Kolmogorov-Smirnov test ⋮ Multicavity formations and complexity modulation in a hyperchaotic discrete system ⋮ Pseudorandom number generator based on the Bernoulli map on cubic algebraic integers ⋮ Multidimensional $p$-adic continued fraction algorithms

Uses Software

• MersenneTwister

Cites Work

• On finite pseudorandom binary sequences. II: The Champernowne, Rudin-Shapiro, and Thue-Morse sequences, a further construction
• Computation of true chaotic orbits using cubic irrationals
• On the pass rate of NIST statistical test suite for randomness
• Exact Simulation of One-Dimensional Chaotic Dynamical Systems Using Algebraic Numbers
• A new multidimensional continued fraction algorithm
• Dynamics over irreducible polynomials
• Ergodic maps on [0, 1 and nonlinear pseudo-random number generators]
• Mersenne twister
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pseudorandom number generation using chaotic true orbits of the Bernoulli map