Truly random number generators based on non‐autonomous continuous‐time chaos

Abstract

SUMMARYA novel non-autonomous continuous-time chaotic oscillator suitable for high-frequency integrated circuit realization is presented. Simulation and experimental results, verifying the circuit feasibility, are given. Two methods for using this oscillator as the core of a random number generator are also proposed. Numerical binary data obtained according to the proposed methods pass the four basic tests of FIPS-140-2, while experimental data pass the full NIST-800-22 random number test suite.

Design and Applications of Continuous-Time Chaos Generators

“…Over the last two decades, theoretical design and circuit implementation of various chaos generators have been a focal subject of increasing interest due to their promising applications in various real-world chaos-based technologies and information systems (Cook, 1994;Cruz-Hernández et al, 2005;Ergun & Ozoguz, 2010;Gámez-Guzmán et al, 2008;Lin & Wang, 2010;Ott, 1994;Strogatz, 2001;Trejo-Guerra et al, 2009). In electronics, among the currently available chaotic oscillators, Chua's circuit has been the most used one (Chakraborty & Dana, 2010;Elhadj & Sprott, 2010;Sánchez-López et al, 2008;Senani & Gupta, 1998;Suykens et al, 1997;Trejo-Guerra et al, 2009), because it can be easily built, simulated, and tractable mathematically.…”

“…Chaos systems have bounded trajectories in the phase space, and they have at least one positive maximum Lyapunov exponent (Dieci, 2002;Lu et al, 2005;Ramasubramanian & Sriram, 2000). Nowadays, several chaos generators have been implemented with electronic devices and circuits in order to have a major impact on many novel applications, as the ones reported in (Cruz-Hernández et al, 2005;Ergun & Ozoguz, 2010;Gámez-Guzmán et al, 2008;Lin & Wang, 2010;Strogatz, 2001;Trejo-Guerra et al, 2009). Furthermore, this chapter is mainly devoted to highlight the design automation of continuous-time multi-scroll chaos generators, their implementations by using behavioral models of commercially available electronic devices, their experimental realizations and applications to secure communications.…”

Efficient implementation of pseudochaotic piecewise linear maps with high digitization accuracies

“…for random number generation, for the definition of cryptographic protocols, for the design of stochastic sources with predefined statistical characteristics to be used in telecommunication systems [1][2][3][4].…”

Fully digital jerk-based chaotic oscillators for high throughput pseudo-random number generators up to 8.77 Gbits/s

“…Chaos generation has been widely considered for a broad range of applications in instrumentation [1], communication systems (chaos shift-keying) [2,3], baseband modulation [4], image encryption [5], and random number generation [6][7][8][9][10][11][12], designed as both fully MOS-based [13][14][15][16] and integrated circuits [17][18][19][20]. Random number generators (RNGs) remain a critical component in communications, cryptography [21] and microprocessors [22].…”