A cubic map chaos criterion theorem with applications in generalized synchronization based pseudorandom number generator and image encryption

2015 ◽  
Vol 25 (5) ◽  
pp. 053104 ◽  
Author(s):  
Xiuping Yang ◽  
Lequan Min ◽  
Xue Wang
Keyword(s):  
Image Encryption ◽  
Pseudorandom Number ◽  
Pseudorandom Number Generator ◽  
Number Generator ◽  
Generalized Synchronization

scholarly journals Pseudorandom Number Generator Based on Three Kinds of Four-Wing Memristive Hyperchaotic System and Its Application in Image Encryption

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Xi Chen ◽  
Shuai Qian ◽  
Fei Yu ◽  
Zinan Zhang ◽  
Hui Shen ◽  
...  
Keyword(s):  
Image Encryption ◽  
Secure Communication ◽  
Encryption Algorithm ◽  
Statistical Characteristics ◽  
Pseudorandom Number ◽  
Pseudorandom Number Generator ◽  
Hyperchaotic System ◽  
Number Generator ◽  
Encrypted Image ◽  
Different Dimensions

In this paper, we propose a method to design the pseudorandom number generator (PRNG) using three kinds of four-wing memristive hyperchaotic systems (FWMHSs) with different dimensions as multientropy sources. The principle of this method is to obtain pseudorandom numbers with good randomness by coupling XOR operation on the three kinds of FWMHSs with different dimensions. In order to prove its potential application in secure communication, the security of PRNG based on this scheme is analyzed from the perspective of cryptography. In addition, PRNG has passed the NIST 800.22 and ENT test, which shows that PRNG has good statistical characteristics. Finally, an image encryption algorithm based on PRNG is adopted. In the encryption algorithm, the optimized Arnold matrix scrambling method and the diffusion processing based on XOR are used to obtain the final encrypted image. Through the evaluation of encryption performance, it is concluded that there is no direct relationship between the pristine image and encrypted image. The results show that the proposed image encryption scheme has good statistical output characteristics and security performance in line with cryptography.

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