Abstract
In this paper, a new chaotic system is proposed based on mixing three-dimensional Chen chaotic system with a chaotic tactics. This new system is proved to be chaotic under Wiggins’ chaos definition and can generate chaotic sequences with high complexity. Furthermore, we propose a new pseudorandom bit generator (PRBG) based on this new system. A coding algorithm is used to make the sequences uniform. Both statistical and security tests are provided to show the generated sequences are with good randomness and high complexity to withstand attacks.
Highlights
Chaos is an interesting nonlinear physical phenomenon which exists in the natural world
We propose a new pseudorandom bit generator (PRBG) based on this new system
We proposed a PRBG based on this new chaotic system
Summary
Chaos is an interesting nonlinear physical phenomenon which exists in the natural world. The first mathematical definition of chaos was proposed by Li and York in [1], which is widely used for one-dimensional iterative map. Shrestha presented an ultralow-power, biologically inspired pseudo-random number generator based on the Hodgkin-Huxley silicon neuron circuit [18] This kind of high-dimensional chaos-based PRBG is based on only one-dimensional chaotic orbit. In [19], Hu proposed a PRBG based on three-dimensional Chen chaotic system. We proposed a PRBG based on this new chaotic system Both statistical and security analysis show that the generated PRBS is with good statistical characteristics and strong capacity to withstand attacks.
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