IMPROVEMENT AND ANALYSIS OF A PSEUDO-RANDOM BIT GENERATOR BY MEANS OF CELLULAR AUTOMATA
Abstract
In this paper, we implement a revised pseudo-random bit generator based on a rule-90 cellular automaton. For this purpose, we introduce a sequence matrix HN with the aim of calculating the pseudo-random sequences of N bits employing the algorithm related to the automaton backward evolution. In addition, a multifractal structure of the matrix HN is revealed and quantified according to the multifractal formalism. The latter analysis could help to disentangle what kind of automaton rule is used in the randomization process and therefore it could be useful in cryptanalysis. Moreover, the conditions are found under which this pseudo-random generator passes all the statistical tests provided by the National Institute of Standards and Technology (NIST).
References
- Chaos 8, 819 (1998). Crossref, ISI, ADS, Google Scholar
- Discrete Cont. Dynamical Syst. 7, 115 (2001). Crossref, Google Scholar
- M. Mejía Carlos, PhD thesis, Universidad Autónoma de San Luis Potosí, SLP (2001) . Google Scholar
- Int. J. Mod. Phys. C 7, 181 (1996), DOI: 10.1142/S012918319600017X. Link, ISI, ADS, Google Scholar
- Parallel Comput. 30, 753 (2004), DOI: 10.1016/j.parco.2003.12.014. Crossref, ISI, Google Scholar
- Int. J. Comput. Sci. Eng. Syst. 2, 185 (2008). ISI, Google Scholar
S. Wolfram ,Lecture Notes Comput. Sci. 218 (1986) p. 429. Google Scholar- IEEE Trans. Comput. 38, 1466 (1989), DOI: 10.1109/12.35843. Crossref, ISI, Google Scholar
- IEEE Trans. Comput. 43, 1346 (1994), DOI: 10.1109/12.338094. Crossref, ISI, Google Scholar
- Int. J. Mod. Phys. C 14, 491 (2003), DOI: 10.1142/S0129183103004681. Link, ISI, ADS, Google Scholar
- Int. J. Mod. Phys. C 15, 1461 (2004), DOI: 10.1142/S0129183104006868. Link, ISI, ADS, Google Scholar
- Phys. Rev. E 71, 067103 (2005), DOI: 10.1103/PhysRevE.71.067103. Crossref, Google Scholar
- Europhys. Lett. 87, 28003 (2009). Crossref, Google Scholar
-
S. Mallat , A Wavelet Tour of Signal Processing , 2nd edn. ( Academic Press , 1999 ) . Crossref, Google Scholar - Electronic J. Theor. Phys. 6, 327 (2009). ISI, Google Scholar
- A. Rukhin, J. Soto, J. Nechvatal, M. Smid, E. Barker, S. Leigh, M. Levenson, M. Vangel, D. Banks, A. Heckert, J. Dray and S. Vo, NIST Special Pub. 800-22 Rev. 1, http://csrc.nist.gov/rng/ (2008) . Google Scholar
- C. Kenny, Random Number Generators: An Evaluation and Comparison of Random.org and Some Commonly Used Generators, Trinity College Dublin, Management Science and Information Systems Studies Project Report (2005) . Google Scholar
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