Pseudo - Random Number Generator Using
Deterministic Chaotic System

Abstract:- A new Iteration Function System (IFS) is used to generate a Pseudo - Random Number Generator. The sensitivity of the Iterated Function System (IFS) to the initial condition is measured. At certain initial value, the iterated function (IFS) can generate a chaotic random numbers. This generator is very useful and can be used as a key in a crypto- system algorithms.

REFERENCES

[1] H.Niederreiter , Random Number Generator and Quasi � Monte Carlo Methods .Philae Phial , PA:SIAM, 1992

[2] S.M.Mathyas and C.H.Meyer \"Generation, Distribution and Installation of Cryptographic Keys\" IBM Syst.J, Vol 17, No2,1978

[3] C.H.Vincent,\" The generation of truly random binary numbers,\" J, Physics E, vol 3 , 1970.

[4] R.S.Maddocks, S.Matthews,E.W.Walkes,and C.H.Vicent,\"A compact and accurate generator for truly random number binary digit\" J.Physics E,vol.5,1972

[5] H.F.Murry,\" A general approach for generating natural random variables \" IEEE Trans.Comput,vol.19,1970

[6] W. T. Holman, J. A. Cannelly, and A. B. Dowlatebad, \"An integrated analog / digital noise source ,\" IEEE Trans. circuits syst. vol. 44,1997

[7] Toni Stojanovski and Ljupco Kocarev, Senior Member , \" Fundamental theory and applications,\" IEEE Trans. On circuits and syst., Vol. 48, 2001.

[8] G. M. Bernstein and M. A. Lieberman, \"Secure random number generation using chaotic circuits,\" IEEE Trans. Circuits syst.,vol.37,1990

[9] M. delgado-Restituto, A. Rodriguez, S. Espejo, and I. L. Huertas,\" A chaotic switched � capacitor circuits for 1/f noise generation,\" IEEE Trans.Circuits Syst., vol.9,1992.

[10] J M blackledge, \"Cryptography using chaos,\" Cryptography using chaos\", Warsaw University of Technology Development Programme, 2010.

[11] Cambel, A , B , \"Applied Chaos Theory\", Goman, 2000

[12] Institute for theoretical physics ETH Zurich, Diploma Thesis, \"A Random Number Generator Test Suite for the C++ Standard\", Mario Rutti, March 10, 2004.