scholarly journals A New S-Box Generation Method and Advanced Design Based on Combined Chaotic System

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2087
Author(s):  
Ding Zhu ◽  
Xiaojun Tong ◽  
Miao Zhang ◽  
Zhu Wang
Keyword(s):  
Genetic Algorithm ◽  
Chaotic System ◽  
Random Sequence ◽  
Random Number Generator ◽  
Security Analysis ◽  
Research Direction ◽  
Optimization Method ◽  
Standard Mapping ◽  
Selection Operator ◽  
Differential Attacks

The construction of substitute box (S-box) has always been an important research direction in cryptography. This paper proposes a new S-box generation method and advanced design based on combined chaotic system. Firstly, our paper proposes a new combined chaotic system and analyze its dynamic behavior. Next, we construct S-box by combining the generated pseudo-random sequence with the linear congruence random number generator, and the standard mapping is introduced to scramble the initial S-box. Then, the S-box optimization method based on advanced genetic algorithm is proposed in this paper. We design adaptive of S-box coding, selection operator, crossover operator and mutation operator to avoid the shortcomings of low calculation efficiency and non-convergence of optimization results in traditional genetic algorithm. Finally, through a lot of security analysis experiments and comparison with other papers, the optimized S-box has better cryptography characteristics and can resist linear attacks and differential attacks.

FPGA implementation and image encryption application of a new PRNG based on a memristive Hopfield neural network with a special activation gradient

2021 ◽  
Author(s):  
Fei Yu ◽  
Zinan Zhang ◽  
Hui Shen ◽  
Yuanyuan Huang ◽  
Shuo Cai ◽  
...  
Keyword(s):  
Neural Network ◽  
Image Encryption ◽  
High Performance ◽  
Random Sequence ◽  
Random Number Generator ◽  
Security Analysis ◽  
Hopfield Neural Network ◽  
Data Encryption ◽  
Design Tool ◽  
Processing Unit

Abstract In this paper, a memristive Hopfield neural network with a special activation gradient (MHNN) is proposed by adding a suitable memristor to the Hopfield neural network (HNN) with a special activation gradient. The MHNN is simulated and dynamic analyzed, and implemented on FPGA. Then, a new pseudo-random number generator (PRNG) based on MHNN is proposed. The post-processing unit of the PRNG is composed of nonlinear post-processor and XOR calculator, which effectively ensures the randomness of PRNG. The experiments in this paper comply with the IEEE 754-1985 high precision 32-bit floating point standard and are done on the Vivado design tool using a Xilinx XC7Z020CLG400-2 FPGA chip and the Verilog-HDL hardware programming language. The random sequence generated by the PRNG proposed in this paper has passed the NIST SP800-22 test suite and security analysis, proving its randomness and high performance. Finally, an image encryption system based on PRNG is proposed and implemented on FPGA, which proves the value of the image encryption system in the field of data encryption connected to the Internet of Things (IoT).

scholarly journals Splicing Model and Hyper–Chaotic System for Image Encryption

2016 ◽  
Vol 67 (2) ◽  
pp. 78-86 ◽  
Author(s):  
Hongye Niu ◽  
Changjun Zhou ◽  
Bin Wang ◽  
Xuedong Zheng ◽  
Shihua Zhou
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Dna Computing ◽  
Formal Model ◽  
Security Analysis ◽  
The Internet ◽  
Encryption Scheme ◽  
Image Information ◽  
Plain Image ◽  
Differential Attacks

Abstract Encryption is an effective way to protect the image information from attacking by intruders in the transmission applications through the Internet. This study presents an image encryption scheme on the basics of the formal model of DNA computing-splicing system and hyper-chaotic system, which utilizes the instinct properties of hyper-chaotic system and splicing model while programming the method. In our proposed algorithm, the quaternary coding is used to split the plain image into four sub-sections so that we can’t get the cipher image without any one sub-section. This new method can be used to change the plain image information drastically. The experimental results and security analysis show that our method not only has a good security but also increases the resistance to common attacks such as exhaustive attacks, statistical attacks and differential attacks.

scholarly journals Pseudo-Random Number Generator Based on Logistic Chaotic System

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 960 ◽  
Author(s):  
Luyao Wang ◽  
Hai Cheng
Keyword(s):  
Chaotic System ◽  
Random Number ◽  
Chaotic Behavior ◽  
Statistical Tests ◽  
Random Sequence ◽  
Random Number Generator ◽  
Statistical Characteristics ◽  
Random Number Generators ◽  
System Parameters ◽  
Pseudo Random Number

In recent years, a chaotic system is considered as an important pseudo-random source to pseudo-random number generators (PRNGs). This paper proposes a PRNG based on a modified logistic chaotic system. This chaotic system with fixed system parameters is convergent and its chaotic behavior is analyzed and proved. In order to improve the complexity and randomness of modified PRNGs, the chaotic system parameter denoted by floating point numbers generated by the chaotic system is confused and rearranged to increase its key space and reduce the possibility of an exhaustive attack. It is hard to speculate on the pseudo-random number by chaotic behavior because there is no statistical characteristics and infer the pseudo-random number generated by chaotic behavior. The system parameters of the next chaotic system are related to the chaotic values generated by the previous ones, which makes the PRNG generate enough results. By confusing and rearranging the output sequence, the system parameters of the previous time cannot be gotten from the next time which ensures the security. The analysis shows that the pseudo-random sequence generated by this method has perfect randomness, cryptographic properties and can pass the statistical tests.

scholarly journals A Three-Dimensional Infinite Collapse Map with Image Encryption

Entropy ◽  
2021 ◽  
Vol 23 (9) ◽  
pp. 1221
Author(s):  
Wenhao Yan ◽  
Zijing Jiang ◽  
Xin Huang ◽  
Qun Ding
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Chaotic Behavior ◽  
Security Analysis ◽  
Three Dimensional ◽  
Security Level ◽  
Encryption Scheme ◽  
Encryption Schemes ◽  
Low Dimensional ◽  
Differential Attacks

Chaos is considered as a natural candidate for encryption systems owing to its sensitivity to initial values and unpredictability of its orbit. However, some encryption schemes based on low-dimensional chaotic systems exhibit various security defects due to their relatively simple dynamic characteristics. In order to enhance the dynamic behaviors of chaotic maps, a novel 3D infinite collapse map (3D-ICM) is proposed, and the performance of the chaotic system is analyzed from three aspects: a phase diagram, the Lyapunov exponent, and Sample Entropy. The results show that the chaotic system has complex chaotic behavior and high complexity. Furthermore, an image encryption scheme based on 3D-ICM is presented, whose security analysis indicates that the proposed image encryption scheme can resist violent attacks, correlation analysis, and differential attacks, so it has a higher security level.

A New Algorithm Based on Magic Square and a Novel Chaotic System for Image Encryption

2019 ◽  
Vol 29 (1) ◽  
pp. 1202-1215 ◽  
Author(s):  
Rageed Hussein AL-Hashemy ◽  
Sadiq A. Mehdi
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Color Image ◽  
Security Analysis ◽  
Correlation Coefficients ◽  
Magic Squares ◽  
Magic Square ◽  
Key Space ◽  
Encryption Method ◽  
Differential Attacks

Abstract This article introduces a simple and effective new algorithm for image encryption using a chaotic system which is based on the magic squares. This novel 3D chaotic system is invoked to generate a random key to encrypt any color image. A number of chaotic keys equal to the size of the image are generated by this chaotic system and arranged into a matrix then divided into non-overlapped submatrices. The image to be encrypted is also divided into sub-images, and each sub-image is multiplied by a magic matrix to produce another set of matrices. The XOR operation is then used on the resultant two sets of matrices to produce the encrypted image. The strength of the encryption method is tested in two folds. The first fold is the security analysis which includes key space analysis and sensitivity analysis. In the second fold, statistical analysis was performed, which includes the correlation coefficients, information entropy, the histogram, and analysis of differential attacks. Finally, the time of encryption and decryption was computed and show very good results.

scholarly journals A New Parallel Fuzzy Multi Modular Chaotic Logistic Map for Image Encryption

2021 ◽  
Vol 18 (2) ◽  
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Chaotic Behavior ◽  
Logistic Map ◽  
Random Number Generator ◽  
Security Analysis ◽  
Dynamic Parameter ◽  
Randomization Test ◽  
Test Results ◽  
Chaotic Logistic Map

This paper introduces a new image encryption algorithm based on a Parallel Fuzzy Multi-Modular Chaotic Logistic Map (PFMM-CLM). Firstly, a new hybrid chaotic system is introduced by using four parallel cascade chaotic logistic maps with a dynamic parameter control to achieve a high Lyapunov exponent value and completely chaotic behavior of the bifurcation diagram. Also, the fuzzy set theory is used as a fuzzy logic selector to improve chaotic performance. The proposed algorithm has been tested as a Pseudo-Random Number Generator (PRNG). The randomness test results indicate that system has better performance and satisfied all random tests. Finally, the Arnold Cat Map with controllable iterative parameters is used to enhance the confusion concept. Due to excellent chaotic properties and good randomization test results, the proposed chaotic system is used in image encryption applications. The simulation and security analysis indicate that this proposed algorithm has a very high security performance and complexity

A Chaotic System with Infinite Number of Equilibria Located on an Exponential Curve and Its Chaos-Based Engineering Application

2018 ◽  
Vol 28 (09) ◽  
pp. 1850112 ◽  
Author(s):  
Saleh Mobayen ◽  
Christos K. Volos ◽  
Sezgin Kaçar ◽  
Ünal Çavuşoğlu ◽  
Behrouz Vaseghi
Keyword(s):  
Chaotic System ◽  
Infinite Number ◽  
Random Number Generator ◽  
Security Analysis ◽  
Engineering Application ◽  
General Category ◽  
Chaotic Motions ◽  
Exponential Curve ◽  
Number Of Equilibria ◽  
Theoretical Analyses

This paper proposes a novel chaotic system with infinite number of equilibria located on an exponential curve. It signifies an exciting category of dynamical systems which display many features of regular and chaotic motions. The proposed chaotic system belongs to the general category of chaotic systems with hidden attractors. Moreover, some theoretical analyses of the chaotic system’s dynamical characteristics are presented. Using the developed chaotic system, the new random number generator and encryption algorithm have been designed. Encryption application and security analysis are presented verifying its feasibility.

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