Hardware Design and Implementation of Pseudorandom Number Generator Using Piecewise Linear Chaotic Map

This paper proposes three types of one-dimensional piecewise chaotic maps and two types of symmetrical piecewise chaotic maps and presents five theorems. Furthermore, some examples that satisfy the theorems are constructed, and an analysis and model of the dynamic properties are discussed. The construction methods proposed in this paper have a certain generality and provide a theoretical basis for constructing a new discrete chaotic system. In addition, this paper designs a pseudorandom number generator based on piecewise chaotic map and studies its application in cryptography. Performance evaluation shows that the generator can generate high quality random sequences efficiently.

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A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator

Mathematical Problems in Engineering ◽

10.1155/2019/7685359 ◽

2019 ◽

Vol 2019 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

Xuan Huang ◽

Lingfeng Liu ◽

Xiangjun Li ◽

Minrong Yu ◽

Zijie Wu

Keyword(s):

Statistical Tests ◽

Chaotic Map ◽

Logistic Map ◽

Security Analysis ◽

Three Dimensional ◽

Pseudorandom Number ◽

Pseudorandom Number Generator ◽

Number Generator ◽

Two Dimensional ◽

Practical Applications

Given that the sequences generated by logistic map are unsecure with a number of weaknesses, including its relatively small key space, uneven distribution, and vulnerability to attack by phase space reconstruction, this paper proposes a new two-dimensional mutual coupled logistic map, which can overcome these weaknesses. Our two-dimensional chaotic map model is simpler than the recently proposed three-dimensional coupled logistic map, whereas the sequence generated by our system is more complex. Furthermore, a new kind of pseudorandom number generator (PRNG) based on the mutual coupled logistic maps is proposed for application. Both statistical tests and security analysis show that our proposed PRNG has good randomness and that it can resist all kinds of attacks. The algorithm speed analysis indicates that PRNG is valuable to practical applications.

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An Improved Random Number Generator Based on Chaotic Map

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.220-223.2730 ◽

2012 ◽

Vol 220-223 ◽

pp. 2730-2734

Author(s):

Zheng Li ◽

Shao Kang Ye

Keyword(s):

Random Number ◽

Piecewise Linear ◽

Random Sequence ◽

Chaotic Map ◽

Random Number Generator ◽

Number Generator ◽

System Variable ◽

Finite Precision ◽

Piecewise Linear Chaotic Map ◽

Randomness Test

This paper pointed out that we can determine the initialization x0 when the random sequence is generated by the piecewise linear chaotic map in finite precision, and aimed at solving this objection, an improved measure of perturbing the system variable timely is proposed, and an improved random number generator based on chaotic map is designed and realized. Meanwhile, their working process and theory are analyzed, and the simulation, validation and test of the whole system is finished, and the result indicated that the bit rates is up to 20 MHz and the random number could pass the FIPS140-2 randomness test.

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