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On the generation of high-quality random numbers by two-dimensional cellular automata

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3 Author(s)
Tomassini, M. ; Inst. of Comput. Sci., Lausanne Univ., Switzerland ; Sipper, M. ; Perrenoud, M.

Finding good random number generators (RNGs) is a hard problem that is of crucial import in several fields, ranging from large-scale statistical physics simulations to hardware self-test. In this paper, we employ the cellular programming evolutionary algorithm to automatically generate two-dimensional cellular automata (CA) RNGs. Applying an extensive suite of randomness tests to the evolved CAs, we demonstrate that they rapidly produce high-quality random-number sequences. Moreover, based on observations of the evolved CAs, we are able to handcraft even better RNGs, which not only outperform previously demonstrated high-quality RNGs, but can be potentially tailored to satisfy given hardware constraints

Published in:

Computers, IEEE Transactions on  (Volume:49 ,  Issue: 10 )