PSEUDO RANDOM NUMBER GENERATION WITH THE AID OF ITERATED FUNCTION SYSTEMS ON ℝ2

P. Bouboulis ()
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P. Bouboulis: Department of Informatics and Telecommunications, Telecommunications and Signal Processing, University of Athens, Panepistimiopolis 157 84, Athens, Hellas, Greece

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 05, 861-882

Abstract: Two new pseudorandom number generators, based on iterated function systems (IFS), are introduced. An IFS is created based on an arbitrary seed and a set is constructed using the deterministic iteration algorithm (DIA). From this set pseudo random numbers have been constructed. The generators have big periods and pass all major statistical tests, indicating that they can be used in any application requiring random numbers, such as cryptography.

Keywords: Fractal interpolation functions; iterated function systems; pseudo-random number generator; 05.10.-a; 05.45.Df (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010590

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