Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Section on Bifurcations
A cellular array model of reaction-diffusion systems for parallel generation of pseudo-random i.i.d. sequences
Keisuke NagataHisato FujisakaTakeshi KamioKazuhisa Haeiwa
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2012 年 3 巻 4 号 p. 606-620

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This paper presents a deterministic cellular array model of reaction-diffusion systems for parallel generation of pseudo-random binary independent and identically distributed (i.i.d.) sequences. As diffusion systems contain the Brownian particles, the cellular array model contains virtual molecules which move like simple random walkers with their composition changed. Then, the direction which the virtual molecules move in will be i.i.d.. The binary pseudo-random i.i.d. sequences generated with the cellular array were successful in all the randomness tests in NIST FIPS 140-2 and SP 800-22 suites.
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© 2012 The Institute of Electronics, Information and Communication Engineers
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