Проекты Отдела прикладных сетевых исследований НЦЧ РАН и Группы по вычислительной физике и сетевым исследованиям ИТФ им Л.Д. Ландау РАН

Контактная информация

Адрес:

Лесная улица, д. 9, ком. 202  
г. Черноголовка, Московской обл, 142432, Россия

тел: (495) 993-48-44

факс: (495) 993-58-17

e-mail: adm@chg.ru 

Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript

 
Главная Публикации Periodic orbits of the ensemble of Sinai-Arnold cat maps and pseudorandom number generation, L. Barash, L. N. Shchur, PRE, 2006
Печать

Periodic orbits of the ensemble of Sinai-Arnold cat maps and pseudorandom number generation

L. Barash, L. N. Shchur

Phys. Rev. E 73, 036701 (2006)

arxiv.org:  physics/0409069

Abstract:

We propose methods for constructing high-quality pseudorandom number generators (RNGs) based on an ensemble of hyperbolic automorphisms of the unit two-dimensional torus (Sinai-Arnold map or cat map) while keeping a part of the information hidden. The single cat map provides the random properties expected from a good RNG and is hence an appropriate building block for an RNG, although unnecessary correlations are always present in practice. We show that introducing hidden variables and introducing rotation in the RNG output, accompanied with the proper initialization, dramatically suppress these correlations. We analyze the mechanisms of the single-cat-map correlations analytically and show how to diminish them. We generalize the Percival-Vivaldi theory in the case of the ensemble of maps, find the period of the proposed RNG analytically, and also analyze its properties. We present efficient practical realizations for the RNGs and check our predictions numerically. We also test our RNGs using the known stringent batteries of statistical tests and find that the statistical properties of our best generators are not worse than those of other best modern generators.

Full PDF

 

 
(c) Department of applied network research SCC RAS
Slideshow is powered by phatfusion / Design by Next Level Design / Script by Joomla!
XXX Porn Tube