JOURNAL ARTICLE

A random number generation method based on discrete time chaotic maps

Abstract

In this paper a random number generation method based on a piecewise linear one dimensional (PL1D) discrete time chaotic maps is proposed for applications in cryptography and steganography. Appropriate parameters are determined by examining the distribution of underlying chaotic signal and random number generator (RNG) is numerically verified by four fundamental statistical test of FIPS 140-2. Proposed design is practically realized on the field programmable analog and digital arrays (FPAA-FPGA). Finally it is experimentally verified that the presented RNG fulfills the NIST 800-22 randomness test without post processing.

Keywords:
Randomness Chaotic Random number generation NIST Computer science Algorithm Field-programmable gate array Piecewise linear function Cryptography Piecewise Randomness tests Statistical hypothesis testing Field (mathematics) Pseudorandom number generator Theoretical computer science Mathematics Computer hardware Artificial intelligence Statistics Speech recognition

Metrics

3
Cited By
0.25
FWCI (Field Weighted Citation Impact)
14
Refs
0.57
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Chaos-based Image/Signal Encryption
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition
Cellular Automata and Applications
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Chaos control and synchronization
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics
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