Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Issue on Recent Progress in Nonlinear Theory and Its Applications
Design of the nonlinear look-up table in the chaotic pseudorandom number generator based on augmented Lorenz map
Kiyotaka MiyauchiYoshihiko HorioTakaya MiyanoKenichiro Cho
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2020 Volume 11 Issue 4 Pages 571-579

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Abstract

A chaos-based stream cipher using an augmented Lorenz map has been proposed. It was shown through numerical simulations that this chaotic map can generate statistically secure pseudorandom numbers, although high-speed hardware is necessary for practical use. One of the problems in digital hardware realization is implementation of the nonlinearities included in the map. In this paper, we propose a nonlinear look-up table (LUT) technique to implement the sine function considering the distribution of the argument variable. We experimentally demonstrate through field programmable gate array(FPGA) prototyping, high-speed and small-sized digital hardware implementation of the pseudorandom number generator based on the augmented Lorenz map using the proposed nonlinear LUT method.

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© 2020 The Institute of Electronics, Information and Communication Engineers
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