A Random Bit Generator Using Rössler Chaotic System

Pseudo-random bit sequence have a wide range of applications in the field of cryptography and communications. For the good chaotic dynamical properties of chaotic systems sequence such as randomness and initial sensitivity, chaotic systems have a strong advantage in generating the pseudo-random bit sequence. However, in practical use, the dynamical properties of chaotic systems will be degraded because of the limited calculation accuracy and it even could cause a variety of security issues. To improve the security, in full analyses of the pseudo-random bit generator proposed in our former paper, we point out some problems in our former design and redesign a better pseudo-random bit generator base on it. At the same time, we make some relevant theoretical and experimental analyses on it. The experiments show that the design proposed in this paper has good statistical properties and security features.

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DIGITAL STREAM CIPHER BASED ON SCS-PRBG

International Journal of Modern Physics B ◽

10.1142/s0217979209053539 ◽

2009 ◽

Vol 23 (25) ◽

pp. 5085-5092

Author(s):

XINGYUAN WANG ◽

WEI LIU ◽

NINI GU ◽

HUAGUANG ZHANG

Keyword(s):

Parallel Computation ◽

Chaotic System ◽

Chaotic Systems ◽

Stream Cipher ◽

Theoretic Analysis ◽

Switch Control ◽

Random Bit Generator ◽

And Performance ◽

Multiple Chaotic Systems

Limitations caused by degeneration of dynamics characteristics may exist in the traditional single chaotic system. The authors propose a method i.e., switch controller chaos and pseudo random bit generator (it is called SCS-PRBG for short), which is based on multiple chaotic systems and switch control. By the theoretic analysis of random key stream and performance of SCS-PRBG, we can see that its digital stream cipher has better randomicity and security. And if using hardware parallel computation, the speed of encryption can be improved sharply. The results of the experiments also present better security of this arithmetic.

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ANALYSIS OF A MULTIPLE-OUTPUT PSEUDO-RANDOM-BIT GENERATOR BASED ON A SPATIOTEMPORAL CHAOTIC SYSTEM

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127406016574 ◽

2006 ◽

Vol 16 (10) ◽

pp. 2949-2963 ◽

Cited By ~ 20

Author(s):

PING LI ◽

ZHONG LI ◽

WOLFGANG A. HALANG ◽

GUANRONG CHEN

Keyword(s):

Probability Distribution ◽

Chaotic System ◽

Cross Correlation ◽

Spatiotemporal Chaos ◽

Coupled Map Lattice ◽

Auto Correlation ◽

Highly Effective ◽

Tent Maps ◽

Random Bit Generator ◽

Spatiotemporal Chaotic System

A novel multiple-output pseudo-random-bit generator (PRBG) based on a coupled map lattice (CML) consisting of skew tent maps, which generates spatiotemporal chaos, is presented. In order to guarantee PRBG highly effective, avoiding synchronization among the sites in the CML is discussed. The cryptographic properties, such as probability distribution, auto-correlation and cross-correlation, of the PRBG with various parameters, are investigated numerically. The randomness of the PRBG is verified via FIPS 140-2. In addition, as compared with the PRBG based on the CML consisting of the logistic maps, which are often used in chaos-based PRBGs by many other researchers, the ranges of the parameters within which this multiple-output PRBG have good cryptographic properties are much bigger in terms of their cryptographic properties. It lays a foundation for designing a faster and more secure encryption.

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