DIGITAL GENERATOR OF PUMPING OF ENTROPY ON THE BASIS OF ARNOLD’S MAPPING

Cite this article as:

Sotov L. S., Harin V. N. DIGITAL GENERATOR OF PUMPING OF ENTROPY ON THE BASIS OF ARNOLD’S MAPPING. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 6, pp. 57-66. DOI: https://doi.org/10.18500/0869-6632-2009-17-6-57-66

The digital generators model­based by two­dimensional mappings on toroid, in particular by mapping «Arnold’s Cat», as the built­in sources of entropy working as a part of single­crystal cryptographic systems of generation of random numbers is discussed. The practical scheme of the generator on the binary counters, realised on element base of semiconductor factories is resulted. The comparative characteristic of pumping of entropy generators is discussed. Safety conditions are analyzed.

Authors: 
Sotov L. S., Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, Russia , slskit@mail.ru
Harin V. N., Federal state budgetary educational institution of higher professional education “Voronezh state forestry Academy”, 394087, Voronezh, Timiryazeva str., 8 , Valery-Harin@intercon.ru
Key words: 
Random number generator, сhaotic dynamics, entropy input streams, crypto- graphic keys, probability distribution.
DOI: 
10.18500/0869-6632-2009-17-6-57-66
Literature

1. Menezes A., van Oorschot P., Vanstone S. Handbook of applied cryptography CRC, 1997. P. 39.

2. Фергюсон Н., Шнайер Б. Практическая криптография/ Пер. с англ. M.: Издательский дом «Вильямc», 2005. C. 34,35,56,57,178–209.

3. Kelsey J., Schneier В., Wagner D. and Hall С. Cryptanalytic attacks on pseudorandom number generators // Fast Software Encryption. 5th International Workshop, FSE’98. Lecture Notes in Computer Science. Springer-Verlag. 1998. Vol. 1372. P. 168.

4. Куприянов A.M. Основы защиты информации: учеб. пособие для студ. высш. учеб. заведений / А.И.Куприянов, А.В.Сахаров, В. А. Шевцов. М.: Издательский центр «Академия», 2006. С. 48.

5. Кузнецов С.П. Динамический хаос. М.: ФИЗМАТЛИТ, 2001. 296 с.

6. Евтушенко Н.Д., Немудров В.Г., Сырцов И.А. Методология проектирования систем на кристалле. Основные принципы, методы, программные средства // «Электроника». 2003. No 3.

7. Опадчий Ю.Ф., Глудкин О.П., Гуров А.И. Аналоговая и цифровая электроника. М.: «Горячая Линия – Телеком». 2000. С. 681, 682

8. Шустер Г. Детерминированный хаос: Введение. М.: Мир, 1988. С. 115.

Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Status: 
одобрено к публикации
Short Text (PDF): 
a2009no6p057.pdf
Full Text (PDF): 
2009no6p057.pdf

BibTeX

@article{Сотов-IzvVUZ_AND-17-6-57,
author = {L. S. Sotov and V. N. Harin},
title = {DIGITAL GENERATOR OF PUMPING OF ENTROPY ON THE BASIS OF ARNOLD’S MAPPING},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {6},
url = {https://old-andjournal.sgu.ru/en/articles/digital-generator-of-pumping-of-entropy-on-the-basis-of-arnolds-mapping},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-6-57-66},pages = {57--66},issn = {0869-6632},
keywords = {Random number generator,сhaotic dynamics,entropy input streams,crypto- graphic keys,probability distribution.},
abstract = {The digital generators model­based by two­dimensional mappings on toroid, in particular by mapping «Arnold’s Cat», as the built­in sources of entropy working as a part of single­crystal cryptographic systems of generation of random numbers is discussed. The practical scheme of the generator on the binary counters, realised on element base of semiconductor factories is resulted. The comparative characteristic of pumping of entropy generators is discussed. Safety conditions are analyzed. }}