Abstract
In this paper, a method of generating non-periodic pseudo random numbers has been proposed based on a chaotic PRNG using one-dimensional logistic map. PRNGs generate deterministic sequences of numbers that appear random; such a sequence is reproducible given the state of the generator is known. The proposed cPRNG is based on the one-dimensional logistic map; by adjusting the value of the control parameter lambda, a sequence of random numbers is generated. The sequence so generated is then put through a test of randomness. In this paper, the Wald–Wolfowitz runs test has been used as a test of randomness.
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References
The Numerical Algorithms Group.: G05—Random number generators. NAG Library Manual, Mark 23. Retrieved 02 Sept 2012
Wang, Y.: Statistical properties of pseudo random sequences and experiments with PHP and Debian OpenSSL. In: Computer Security—ESORICS 2014. Lecture Notes in Computer Science. 8712, pp. 454–471. Springer LNCS, Heidelberg (2014). https://doi.org/10.1007/978-3-319-11203-9_26. ISBN 978-3-319-11202-2
Boeing, G.: Chaos theory and the logistic map. Retrieved 17 May 2020
May, R.M.: Simple mathematical models with very complicated dynamics. Nature. 261(5560), 459–467 (1976). https://doi.org/10.1038/261459a0
Weisstein, E.W.: Logistic Equation. MathWorld
Cheung, R.C.C., Villasenor, J.D., Luk, W.: Hardware generation of arbitrary random number. Int. J. Sci. Res. 4(1), (2015)
Dabal, P., Pelka, R., Gayoso, C.A., Rabini, M., Moreira, J.: A review on implementation of random number generation based on FPGA (2015)
Gu, X.-C., Zhang, M.-X.: Uniform random number generator using Leap-Ahead LFSR architecture. In: International Conference on Computer and Communications Security (2009)
Jonathan, M.C., Cerda, J.C., Martinez, C.D., David, H.K.: Hoe 44th IEEE Southeastern Symposium on System Theory University of North Florida, Jacksonville, FL Mar 11–13 (2012)
Dabal, P., Pelka, R.: FPGA implementation of chaotic pseudo-random bit generators, MIXDES 2012. In: 19th International Conference on Mixed Design of Integrated Circuits and Systems, 24–26 May 2012, Warsaw, Poland
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Mukherjee, A., Mallick, P.K., Mishra, D. (2022). Chaotic Pseudo Random Number Generator (cPRNG) Using One-Dimensional Logistic Map. In: Dehuri, S., Prasad Mishra, B.S., Mallick, P.K., Cho, SB. (eds) Biologically Inspired Techniques in Many Criteria Decision Making. Smart Innovation, Systems and Technologies, vol 271. Springer, Singapore. https://doi.org/10.1007/978-981-16-8739-6_62
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DOI: https://doi.org/10.1007/978-981-16-8739-6_62
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