Abstract

High-performance pseudorandom number generators (PRNGs) play an important role in a variety of applications like computer simulations, and industrial applications including cryptography. High-quality PRNG can be constructed by employing cellular automata (CA). Advantage of the PRNG that employs CA includes that it is fast and suitable for hardware implementation. In this paper, we propose a two-dimensional (2-D) CA based PRNG. Our scheme uses the structure of programmable CA (PCA) for improving randomness quality. Moreover, for reducing of serial correlations among the produced pseudorandom bits, a consecutive bits replacing spacing technique is proposed. Finally, we provide experimental results to verify the randomness quality using ENT and DIEHARD test suites.

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References

  1. M. Matsumoto, “Simple Cellular Automata as Pseudorandom m-sequence Generators for Built-In Self-Test”, ACM Transactions on Modelling and Computer Simulation, ACM Press, New York, 1998, Vol. 8, No. 1, pp. 31-42.

    Google Scholar 

  2. S. Wolfram, Theory and Applications of Cellular Automata: Including Selected Papers 1983-1986, River Edge, NJ: World Scientific, Champaign, 1986.

    MATH  Google Scholar 

  3. S. U. Guan and S. Zhang, “A Family of Controllable Cellular Automata for Pseudorandom Number Generation”, International Journal of Modern Physics C, World Scientific Publishing, 2002, Vol. 13, No. 8, pp. 1047-1073.

    Google Scholar 

  4. S. U. Guan, S. Zhang and M. T. Quieta, “2-D CA Variation With Asymmetric Neighborship for Pseudorandom Number Generation”, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, IEEE, 2004, Vol. 23, No. 3, pp. 378-388.

    Article  Google Scholar 

  5. S. Wolfram, “Statistical Mechanics of Cellular Automata”, Review of Modern Physics, APS physics, 1983, Vol. 55, pp. 601-644.

    Article  MathSciNet  Google Scholar 

  6. S. Wolfram, “Cryptography with Cellular Automata”, Advances in Cryptology: Crypto ‘ 85 Proceedings, Springer-Verlag, New York, 1985. LNCS 218, pp. 429-432.

    Google Scholar 

  7. S. Nandi, B. K. kar and P. P. Chaudhuri, “Theory and Applications of Cellular Automata in Cryptography”, IEEE Transactions on Computers, IEEE, 1994, Vol. 43, No. 12, pp. 1346-1357.

    Article  Google Scholar 

  8. S. Wolfram, “Random Sequence Generation by Cellular Automata”, Advanced in Applied Mathematics, Academic Press, Orlando, 1986, Vol. 7, pp. 123-169.

    Google Scholar 

  9. P. D. Hortensius, R. D. Mcleod, D. M. Miller and H. C. Card, “Cellular Automata-Based Pseudorandom Number Generators for Built-In Self-Test”, IEEE Transactions on Computer-Aided Design, IEEE, 1989, Vol. 8, No. 8, pp. 842-859.

    Article  Google Scholar 

  10. D. R. Chowdhury, I. Sengupta and P. P. Chaudhuri, “A Class of Two-Dimensional Cellular Automata and Their Applications in Random Pattern Testing”, Journal of Electronic Testing: Theory and Applications, Kluwer Academic Publishers, Norwell, 1994, Vol. 5, No. 1, pp. 67-82.

    Article  Google Scholar 

  11. M. Tomassini, M. Sipper and M. Perrenoud, “On the Generation of High Quality Random Numbers by Two-Dimensional Cellular Automata”, IEEE Transactions on Computers, IEEE, 2000, Vol. 49, No. 10, pp. 1146-1151.

    Article  Google Scholar 

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Kang, BH., Lee, DH., Hong, CP. (2008). Pseudorandom Number Generation Using Cellular Automata. In: Sobh, T., Elleithy, K., Mahmood, A., Karim, M.A. (eds) Novel Algorithms and Techniques In Telecommunications, Automation and Industrial Electronics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8737-0_71

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  • DOI: https://doi.org/10.1007/978-1-4020-8737-0_71

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-8736-3

  • Online ISBN: 978-1-4020-8737-0

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