Improving Middle Square Method RNG Using Chaotic Map

Abstract

One of the classic approaches in PRNGs is the middle square method in which with a simple mathe-matical model generating pseudorandom numbers in high speed and minimum correlation between output numbers. Despite these unique characteristics, the method contains weaknesses that a broader application of this algo- rithm will face. In this paper is studied middle square method and then a logistic chaotic map is introduced with its specific features and its improved weaknesses via using these characteristics. Finally the NIST tests suite s are presented, in order to detect the specific characteristics expected from truly random sequences.

One of the classic approaches in PRNGs is the middle square method in which with a simple mathe-matical model generating pseudorandom numbers in high speed and minimum correlation between output numbers. Despite these unique characteristics, the method contains weaknesses that a broader application of this algo- rithm will face. In this paper is studied middle square method and then a logistic chaotic map is introduced with its specific features and its improved weaknesses via using these characteristics. Finally the NIST tests suite s are presented, in order to detect the specific characteristics expected from truly random sequences.

Cite this paper

nullH. Rahimov, M. Babaie and H. Hassanabadi, "Improving Middle Square Method RNG Using Chaotic Map,"*Applied Mathematics*, Vol. 2 No. 4, 2011, pp. 482-486. doi: 10.4236/am.2011.24062.

nullH. Rahimov, M. Babaie and H. Hassanabadi, "Improving Middle Square Method RNG Using Chaotic Map,"

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