A list of tri-state cellular automata which are potential pseudo-random number generators

Kamalika Bhattacharjee and Sukanta Das ()
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Kamalika Bhattacharjee: Department of Information Technology, Indian Institute of Engineering Science and Technology, Shibpur 711103, West Bengal, India
Sukanta Das: Department of Information Technology, Indian Institute of Engineering Science and Technology, Shibpur 711103, West Bengal, India

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 09, 1-35

Abstract: This paper explores 3-neighborhood 3-state cellular automata (CAs) to find a list of potential pseudo-random number generators (PRNGs). As the rule-space is huge (327), we have taken two greedy strategies to select the initial set of rules. These CAs are analyzed theoretically and empirically to find the CAs with consistently good randomness properties. Finally, we have listed 596 good CAs which qualify as potential PRNGs.

Keywords: Pseudo-Random Number Generator (PRNG); 3-state cellular automata; theoretical filtering; Diehard tests; TestU01 library (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500882

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