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World Scientific News

2019 | 117 | 228-234
Article title

Empirical assessment of efficiency of entropy source for random number generators using autocorrelation factor test

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EN
To achieve true randomness of numbers, the entropy source needs to be efficient. The statistical testing of efficiency of entropy source is necessary as it is used in random number generators for cryptography, simulation, statistical sampling, etc. 5000 numbers each were generated in four experimental entropy conditions: Control experiment with white light, Experimental conditions with multicoloured light with light path not disrupted, while light with path disrupted by thermocol balls, multicoloured light with path disrupted by thermocol balls. The numbers thus generated using each entropy condition were tested by Auto Correlation Factor Test to identify optimal experimental condition. The results were displayed in graphical and tabular format. The four graphs depicted the autocorrelations clearly showing that the best results were obtained for the fourth experimental condition ‘multicoloured light fan on’. It was found that Autocorrelation factor test is a powerful test for empirical assessment of efficiency of entropy source for random number generation. If the random number generator developed by any individual or organization is tested by Autocorrelation factor test, the efficiency of the entropy source can be pre-established thus preventing post hazards like hacking of random numbers. The security of data is a major concern in all areas such as defense, banking, research, designing and evaluation of examinations, etc.
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228-234
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• The Chanda Devi Saraf School, Nagpur, Maharashtra, India
References
• [1] Bernstein G M, Lieberman M A, Secure random number generation using chaotic circuits, IEEE Transactions on Circuits and Systems 37 (1990) 1157-1164
• [2] Fishman G S, Moore L R, A Statistical Evaluation of Multiplicative Congruential Random Number Generators with Modulus 231. Journal of the American Statistical Association, 77: 377 (1982) 129-136
• [3] MacLaren M D, Marsaglia G., Uniform Random Number Generators, Journal of the ACM, 12, (1965) 83-89
• [4] Park S K, Miller K W, Random number generators: good ones are hard to find, Communications of the ACM, 31 (1988) 1192-1201
• [5] Ramsey F L, Characterization of the Partial Autocorrelation Function, Annals of Statistics, 2 (1974) 1296-1301
• [6] Wichmann B A, Hill I D, Algorithm AS 183: An Efficient and Portable Pseudo-Random Number Generator, Journal of the Royal Statistical Society. Series C (Applied Statistics) 31 (1982) 188-190
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short_communication
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