A Chaos Based Pseudo-Random Bit Generator Using Multiple Digits Comparison

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Chaos Theory and Applications
Volume:2 Issue:2
A Chaos Based Pseudo-Random Bit Generator Using Multiple Digits Comparison

A Chaos Based Pseudo-Random Bit Generator Using Multiple Digits Comparison

Authors : Lazaros MOYSİS, Aleksandra TUTUEVA, Christos K VOLOS, Denis BUTUSOV

Pages : 58-68

View : 31 | Download : 8

Publication Date : 2020-11-30

Article Type : Research Paper

Abstract :This work presents a simple method of designing pseudo-random bit generator by generating multiple bits per iteration from the decimal part of a chaotic map. This is done by extracting the decimal part of the state in each iteration and comparing each digit separately to a threshold value. This way, more than one bits can be generated in each iteration, in contrast to most well-known generators based on discrete-time chaotic maps, which generate only one bit. The method is tested on multiple maps and it is seen that for most, around 8 digits can be extracted each time, so that the final bitstream passes all NIST tests. The generated PRBG is then studied through a simple image encryption application, by combining shuffling and the XOR operation.
Keywords : Chaos, Pseudo random bit generator PRBG, 1D chaotic maps, Encryption, Security analysis

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