Community Research and Development Information Service - CORDIS

Development and Implementation of new generation of Pseudo Random Number Generators based on Kolmogorov-Anosov K-systems

From 2015-01-01 to 2018-12-31, ongoing project

Project details

Total cost:

EUR 360 000

EU contribution:

EUR 252 000

Coordinated in:

Greece

Call for proposal:

H2020-MSCA-RISE-2014See other projects for this call

Funding scheme:

MSCA-RISE - Marie Skłodowska-Curie Research and Innovation Staff Exchange (RISE)

Objective

Deliverables

  • MIXMAX generator

    Program of the MIXMAX generator with tuneable internal parameters of maximal dimensionality N=256,509,1260 and of the order of the Galois field p=2^61-1, embedded into a user friendly environment and with an on-line manual.

  • Statistical Data

    "The statistical data : comulative distribution functions; Kolmogorov-Smirnov test;""BigCrush"" suite of tests; Shapiro-Wilk test; Anderson-Darling test representing internal characteristics of the MIXMAX generator as a function of the dimensionality N=256,508,1260 of the generator and of the order of the Galois field p=2^61 -1."

Publications

  • Hyperbolic Anosov C-systems. Exponential Decay of Correlation Functions
    Author(s): George Savvidy and Konstantin Savvidy
  • Classical limit theorems and high entropy MIXMAX random number generator
    Author(s): Hayk Poghosyan, Konstantin Savvidy and George Savvidy
  • Statistical Tests for MIXMAX Pseudorandom Number Generator
    Author(s): Narek Martirosyan, Gevorg Karyan and Norayr Akopov
    Published in: Mathematical Problems of Computer Science, issue 47 (2017) 37-49, 2017. Page(s) 12 pages.  ISSN: 0131-4645
  • Distribution of periodic trajectories of C-K systems MIXMAX pseudorandom number generator
    Author(s): Andrzej Görlich, Marios Kalomenopoulos, Konstantin Savvidy, George Savvidy
    Published in: International Journal of Modern Physics C, issue Vol. 28, No. 2 (2017) 1750032 (16 pages), 2016. Page(s) 1750032.  ISSN: 0129-1831
    DOI: 10.1142/S0129183117500322
  • Spectrum and Entropy of C-systems. MIXMAX random number generator
    Author(s): Konstantin Savvidy and George Savvidy
    Published in: Chaos Solitons and Fractals: the interdisciplinary journal of Nonlinear Science,, issue 91 (2016) 33-38, 2016.  ISSN: 0960-0779
    DOI: 10.1016/j.chaos.2016.05.003
  • The MIXMAX random number generator
    Author(s): Konstantin G. Savvidy,
    Published in: Computer Physics Communications, issue Volume 196, November 2015,, 2015. Page(s) Pages 161–165.  ISSN: 0010-4655
    DOI: 10.1016/j.cpc.2015.06.003
  • Anosov C-systems and random number generators
    Author(s): G. K. Savvidy
    Published in: Theoretical and Mathematical Physics, issue 188/2, 2016. Page(s) 1155-1171.  ISSN: 0040-5779
    DOI: 10.1134/S004057791608002X

Coordinator

"NATIONAL CENTER FOR SCIENTIFIC RESEARCH ""DEMOKRITOS"""
Greece

EU contribution: EUR 216 000


END OF PATRIARCHOU GRIGORIOU E AND 27 NEAPOLEOS STREET
15341 AGIA PARASKEVI
Greece
Activity type: Research Organisations

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Participants

EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH
Switzerland

EU contribution: EUR 18 000


ROUTE DE MEYRIN CERN
1211 GENEVA 23
Switzerland
Activity type: Research Organisations

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KOBENHAVNS UNIVERSITET
Denmark

EU contribution: EUR 18 000


NORREGADE 10
1165 KOBENHAVN
Denmark
Activity type: Higher or Secondary Education Establishments

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Partner organisations

A I ALIKHANYAN NATIONAL SCIENCE LABORATORY
Armenia
ALIKHANYAN YEGHBAYRNER 2
375036 YEREVAN
Armenia
Activity type: Research Organisations

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NANJING UNIVERSITY
China
HANKOU ROAD 22
210093 NANJING
China
Activity type: Higher or Secondary Education Establishments

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ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Switzerland
BATIMENT CE 3316 STATION 1
1015 LAUSANNE
Switzerland
Activity type: Higher or Secondary Education Establishments

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NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF ARMENIA
Armenia
24 MARSHAL BAGHRAMIAN AVENUE
375019 YEREVAN
Armenia
Activity type: Higher or Secondary Education Establishments

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