A Generalized Stability Theorem for Continuous Chaos Systems and Design of Pseudorandom Number Generator

2015 ◽  
Author(s):  
Xue Wang ◽  
Lequan Min ◽  
Mei Zhang
Keyword(s):  
Stability Theorem ◽  
Pseudorandom Number ◽  
Pseudorandom Number Generator ◽  
Number Generator ◽  
Generalized Stability

scholarly journals Encryption of pseudorandom number generator logic circuits

2021 ◽  
Vol 190 ◽  
pp. 370-376
Author(s):  
Mikhail Ivanov ◽  
Iliya Chugunkov ◽  
Bogdana Kliuchnikova ◽  
Evgenii Salikov
Keyword(s):  
Logic Circuits ◽  
Pseudorandom Number ◽  
Pseudorandom Number Generator ◽  
Number Generator

scholarly journals A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Mei Zhang ◽  
Danling Wang ◽  
Lequan Min ◽  
Xue Wang
Keyword(s):  
Discrete Time ◽  
Chaotic Map ◽  
Stability Theorem ◽  
Pseudorandom Number Generator ◽  
Generalized Synchronization ◽  
Key Space ◽  
Chaos System ◽  
Definition Of ◽  
Study Designs ◽  
Generalized Stability

Firstly, this study introduces a definition of generalized stability (GST) in discrete-time nonautonomous chaos system (DNCS), which is an extension for chaos generalized synchronization. Secondly, a constructive theorem of DNCS has been proposed. As an example, a GST DNCS is constructed based on a novel 4-dimensional discrete chaotic map. Numerical simulations show that the dynamic behaviors of this map have chaotic attractor characteristics. As one application, we design a chaotic pseudorandom number generator (CPRNG) based on the GST DNCS. We use the SP800-22 test suite to test the randomness of four 100-key streams consisting of 1,000,000 bits generated by the CPRNG, the RC4 algorithm, the ZUC algorithm, and a 6-dimensional CGS-based CPRNG, respectively. The numerical results show that the randomness performances of the two CPRNGs are promising. In addition, theoretically the key space of the CPRNG is larger than 21116. As another application, this study designs a stream avalanche encryption scheme (SAES) in RGB image encryption. The results show that the GST DNCS is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs.

scholarly journals Chaos-Based Bitwise Dynamical Pseudorandom Number Generator On FPGA

2019 ◽  
Vol 68 (1) ◽  
pp. 291-293 ◽  
Author(s):  
Miguel Garcia-Bosque ◽  
Adrian Perez-Resa ◽  
Carlos Sanchez-Azqueta ◽  
Concepcion Aldea ◽  
Santiago Celma
Keyword(s):  
Pseudorandom Number ◽  
Pseudorandom Number Generator ◽  
Number Generator
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