Pseudo random sequence generation from a new chaotic system

Cai, Bozhen; Wang, Guangyi; Yuan, Fang

doi:10.1109/icct.2015.7399962

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…One of the key requirements for stream cryptosystems is the underlying pseudo-random number generator. In recent years, chaotic systems have been considered as generating good and fast pseudo-random sequences [1][2][3][4][5][6][7][8][9][10][11]. The generated numbers are equiprobable, non-correlated.…”

Section: Introductionmentioning

confidence: 99%

Chaos Based Cryptographic Pseudo-Random Number Generator Template with Dynamic State Change

Datcu¹,

Macovei²,

Hobincu³

2020

Applied Sciences

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This article presents a configurable, high-throughput pseudo-random number generator template targeting cryptographic applications. The template is parameterized using a chaotic map that generates data, an entropy builder that is used to periodically change the parameters of the map and a parameter change interval, which is the number of iterations after which the entropy builder will change the generator’s parameters. The system is implemented in C++ and evaluated using the TestU01 and NIST RNG statistical tests. The same implementation is used for a stream cipher that can encrypt and decrypt PNG images. A Monte-Carlo analysis of the seed space was performed. Results show that for certain combinations of maps and entropy builders, more than 90% of initial states (seeds) tested pass all statistical randomness tests. Also, the throughput is large enough so that a 8 K color image can be encrypted in 2 s on a modern laptop CPU (exact specifications are given in the paper). The conclusion is that chaotic maps can be successfully used as a building block for cryptographic random number generators.

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Section: Introductionmentioning

confidence: 99%

Chaos Based Cryptographic Pseudo-Random Number Generator Template with Dynamic State Change

Datcu¹,

Macovei²,

Hobincu³

2020

Applied Sciences

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Degradation analysis of generalized Chua's circuit generator of multi-scroll chaotic attractors and its implementation on PIC32

Méndez-Ramírez

Arellano-Delgado²,

Cruz-Hernández

et al. 2016

2016 Future Technologies Conference (FTC)

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Degradation Analysis of Chaotic Systems and their Digital Implementation in Embedded Systems

et al. 2019

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Digital implementation of chaotic systems (CSs) has attracted increasing attention from researchers due to several applications in engineering, e.g., in areas as cryptography and autonomous mobile robots, where the properties of chaotic systems are strongly related. The CSs in the continuous version (CV) need to be discretized where chaotic degradation must be analyzed to guarantee preservation of chaos. In this paper, we present a degradation analysis of five three-dimensional CSs and the necessary conditions to implement the discretized versions (DVs) of Lorenz, Rössler, Chen, Liu and Chen, and Méndez-Arellano-Cruz-Martínez (MACM) CSs. Analytical and numerical analyses of chaos degradation are conducted by using the time series method; the maximum discrete step size and the Lyapunov Exponents (LEs) are computed by using the Euler, Heun, and fourth-order Runge–Kutta (RK4) numerical algorithms (NAs). We conducted comparative studies of performance based on time complexity of the five proposed CSs in their DVs by using four embedded systems (ESs) based on three families of Microchip microcontrollers 8-bit PIC16F, 16-bit dsPIC33FJ, and 32-bit PIC32MZ (of low-cost electronic implementation) and a Field Programmable Gate Array (FPGA). Based on the results, the intervals at control parameters to guarantee chaos are proposed, which improves the performance characteristics of the five proposed CSs in their DVs based on digital applications.

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Pseudo random sequence generation from a new chaotic system

Cited by 3 publications

References 7 publications

Chaos Based Cryptographic Pseudo-Random Number Generator Template with Dynamic State Change

Chaos Based Cryptographic Pseudo-Random Number Generator Template with Dynamic State Change

Degradation analysis of generalized Chua's circuit generator of multi-scroll chaotic attractors and its implementation on PIC32

Degradation Analysis of Chaotic Systems and their Digital Implementation in Embedded Systems

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