scholarly journals Cryptographic Algorithm Using Newton-Raphson Method and General Bischi-Naimzadah Duopoly System

Entropy ◽  
2020 ◽  
Vol 23 (1) ◽  
pp. 57
Author(s):  
Abdelrahman Karawia
Keyword(s):  
Image Encryption ◽  
Statistical Tests ◽  
Robustness Analysis ◽  
Correlation Coefficients ◽  
Cryptographic Algorithm ◽  
Key Space ◽  
Plain Image ◽  
Excellent Method ◽  
Current Article ◽  
Differential Attacks

Image encryption is an excellent method for the protection of image content. Most authors used the permutation-substitution model to encrypt/decrypt the image. Chaos-based image encryption methods are used in this model to shuffle the rows/columns and change the pixel values. In parallel, authors proposed permutation using non-chaotic methods and have displayed good results in comparison to chaos-based methods. In the current article, a new image encryption algorithm is designed using combination of Newton-Raphson’s method (non-chaotic) and general Bischi-Naimzadah duopoly system as a hyperchaotic two-dimensional map. The plain image is first shuffled by using Newton-Raphson’s method. Next, a secret matrix with the same size of the plain image is created using general Bischi-Naimzadah duopoly system. Finally, the XOR between the secret matrix and the shuffled image is calculated and then the cipher image is obtained. Several security experiments are executed to measure the efficiency of the proposed algorithm, such as key space analysis, correlation coefficients analysis, histogram analysis, entropy analysis, differential attacks analysis, key sensitivity analysis, robustness analysis, chosen plaintext attack analysis, computational analysis, and NIST statistical Tests. Compared to many recent algorithms, the proposed algorithm has good security efficiency.

scholarly journals Chaotic Image Encryption Design Using Tompkins-Paige Algorithm

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Shahram Etemadi Borujeni ◽  
Mohammad Eshghi
Keyword(s):  
Image Encryption ◽  
Logistic Map ◽  
Correlation Coefficients ◽  
Chi Square ◽  
Encrypted Image ◽  
Key Space ◽  
Chi Square Test ◽  
Plain Image ◽  
The Difference ◽  
Pixel Substitution

In this paper, we have presented a new permutation-substitution image encryption architecture using chaotic maps and Tompkins-Paige algorithm. The proposed encryption system includes two major parts, chaotic pixels permutation and chaotic pixels substitution. A logistic map is used to generate a bit sequence, which is used to generate pseudorandom numbers in Tompkins-Paige algorithm, in 2D permutation phase. Pixel substitution phase includes two process, the tent pseudorandom image (TPRI) generator and modulo addition operation. All parts of the proposed chaotic encryption system are simulated. Uniformity of the histogram of the proposed encrypted image is justified using the chi-square test, which is less than (255, 0.05). The vertical, horizontal, and diagonal correlation coefficients, as well as their average and RMS values for the proposed encrypted image are calculated that is about 13% less than previous researches. To quantify the difference between the encrypted image and the corresponding plain-image, three measures are used. These are MAE, NPCR, and UACI, which are improved in our proposed system considerably. NPCR of our proposed system is exactly the ideal value of this criterion. The key space of our proposed method is large enough to protect the system against any Brute-force and statistical attacks.

scholarly journals A Secure Image Encryption Scheme based on Fully-Connected-Like Neural Network and Edge Pixel Reset

2021 ◽  
Author(s):  
Yaohui Sheng ◽  
Jinqing Li ◽  
Xiaoqiang Di ◽  
Zhenlong Man ◽  
Zefei Liu
Keyword(s):  
Neural Network ◽  
Image Encryption ◽  
Random Noise ◽  
Chaotic Sequence ◽  
Initial Value ◽  
Edge Pixel ◽  
Key Space ◽  
Plain Image ◽  
Differential Attacks ◽  
Fully Connected

Abstract When digital images are transmitted and stored in the currently open network environment, they often face various risks. A secure image encryption based on Fully-Connected-Like Neural Network (FCLNN) and edge pixel reset is proposed. Firstly, using random noise to reset the image last-bit of the edge pixels to generate different keys for each encryption. Secondly, the image rows and columns are transformed by Cyclic Shift Transformation (CST), and the moving step is determined according to the chaotic sequence. Then, the image is diffused at the bit-level by using FCLNN. Finally, forward and reverse diffusions are performed on the image to generate the cipher image. In addition, the result of convolution operation between plain image and chaotic sequence is introduced to set the initial value of the chaotic system to establish the correlation between plain image and algorithm, which makes the algorithm resistant to known/chosen plaintext attack. The simulation results show that the proposed algorithm has negligible loss, and the decrypted image is visually identical to the original image. At the same time, the algorithm has a large key space, can resist common attacks such as statistical attacks, differential attacks, noise attacks, and data loss attacks, and has high security.

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 An Algorithm of Image Encryption Using Logistic and Two-Dimensional Chaotic Economic Maps

Entropy ◽  
2019 ◽  
Vol 21 (1) ◽  
pp. 44 ◽  
Author(s):  
Sameh Askar ◽  
Abdel Karawia ◽  
Abdulrahman Al-Khedhairi ◽  
Fatemah Al-Ammar
Keyword(s):  
Image Encryption ◽  
Security Level ◽  
Two Dimensional ◽  
Secret Key ◽  
Large Space ◽  
Cryptographic Algorithm ◽  
Key Space ◽  
Contrast Analysis ◽  
Encryption Algorithms ◽  
Made In

In the literature, there are many image encryption algorithms that have been constructed based on different chaotic maps. However, those algorithms do well in the cryptographic process, but still, some developments need to be made in order to enhance the security level supported by them. This paper introduces a new cryptographic algorithm that depends on a logistic and two-dimensional chaotic economic map. The robustness of the introduced algorithm is shown by implementing it on several types of images. The implementation of the algorithm and its security are partially analyzed using some statistical analyses such as sensitivity to the key space, pixels correlation, the entropy process, and contrast analysis. The results given in this paper and the comparisons performed have led us to decide that the introduced algorithm is characterized by a large space of key security, sensitivity to the secret key, few coefficients of correlation, a high contrast, and accepted information of entropy. In addition, the results obtained in experiments show that our proposed algorithm resists statistical, differential, brute-force, and noise attacks.

A Novel Color Image Encryption Algorithm Based on Hyperchaotic System and Permutation-Diffusion Architecture

2019 ◽  
Vol 29 (09) ◽  
pp. 1950115 ◽  
Author(s):  
Guangfeng Cheng ◽  
Chunhua Wang ◽  
Hua Chen
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
Key Space ◽  
Encryption Algorithms ◽  
Block Permutation ◽  
Encrypted Images ◽  
Differential Attacks

In recent years, scholars studied and proposed some secure color image encryption algorithms. However, the majority of the published algorithms encrypted red, green and blue (called [Formula: see text], [Formula: see text], [Formula: see text] for short) components independently. In the paper, we propose a color image encryption scheme based on hyperchaotic system and permutation-diffusion architecture. The encryption algorithm utilizes a block permutation which is realized by mixing [Formula: see text], [Formula: see text], [Formula: see text] components to strengthen the dependence of each component. Besides, it can reduce time consumption. Then, the key streams generated by the hyperchaotic system are exploited to diffuse the pixels, the three components affect each other again. And in the diffusion process, we can get two totally different encrypted images even though we change the last pixel because the [Formula: see text] component is diffused in reverse order. The experimental results reveal that our algorithm possesses better abilities of resisting statistical attacks and differential attacks, larger key space, closer information entropy to 8, and faster encryption speed compared with other chaos-based color image encryption algorithms.

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 A Nature Inspired Color Image Encryption Technique to Protect the Satellite Images

2019 ◽  
Vol 9 (03) ◽  
Author(s):  
Bhagyashri I. Pandurangi R ◽  
Meenakshi R. Patil
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Random Sequence ◽  
Correlation Coefficients ◽  
Secret Key ◽  
Color Image Encryption ◽  
Encrypted Images ◽  
Differential Attacks ◽  
Crossover And Mutation ◽  
Image Encryption Algorithm

A color image encryption algorithm based on chaotic maps is proposed in this paper. The algorithm is based on two bio-operations: crossover and mutation. To enhance the robustness against differential attacks, the mutated image is subjected to scrambling process operated on the pixel values of the image using a random sequence. Experimental results show that the proposed algorithm is capable of generating encrypted images with uniform distribution of the pixel values and very low correlation coefficients of adjacent pixels. It is very sensitive to any change in the secret key values. The results show that the algorithm is robust to statistical and differential attacks.

scholarly journals A new secure image encryption algorithm based on a 5D hyperchaotic map

PLoS ONE ◽  
2020 ◽  
Vol 15 (11) ◽  
pp. e0242110
Author(s):  
Dejian Fang ◽  
Shuliang Sun
Keyword(s):  
Image Encryption ◽  
Secure Communication ◽  
Dimensional System ◽  
Hyperchaotic System ◽  
Key Space ◽  
Number Sequences ◽  
Low Dimensional ◽  
Encryption Method ◽  
Differential Attacks ◽  
Image Encryption Algorithm

Image encryption is an effective method for protecting private images during communication. In this paper, a novel image encryption method is proposed based on a 5D hyperchaotic system. Since a 5D hyperchaotic system can generate more complex dynamic behavior than a low-dimensional system, it is used in this paper to generate pseudorandom number sequences. The generated sequences are processed to obtain new sequences. The randomness of the new sequences is improved by recombination and rearrangement. The experimental results and theoretical analysis show that the method possesses a large key space and can resist differential attacks, statistical analysis, entropy analysis, clipping attacks and noise attacks. Therefore, it is very secure and can be used for secure communication.

A Fast Encryption Scheme Suitable for Video Surveillance Applications Using SHA-256 Hash Function and 1D Sine–Sine Chaotic Map

2020 ◽  
pp. 2150022
Author(s):  
Kirtee Panwar ◽  
Ravindra Kumar Purwar ◽  
Garima Srivastava
Keyword(s):  
Video Surveillance ◽  
Image Encryption ◽  
Chaotic Map ◽  
Encryption Scheme ◽  
Internal Working ◽  
Key Space ◽  
Higher Dimensional ◽  
Secret Keys ◽  
Plain Image ◽  
Surveillance Applications

This paper proposes an image encryption technique which is fast and secure. The encryption scheme is designed for secure transmission of video surveillance data (keyframes) over insecure network. The image encryption technique employs 1D Sine–Sine system with better chaotic properties than its seed map and faster than higher-dimensional chaotic systems. Further, design of encryption scheme is based on two permutation rounds, which employs pixel swapping operation and diffusion operation which is simple and provides required security against plaintext, differential and various other attacks. Three separate chaotic sequences are generated using 1D Sine–Sine system which enhances the key space of the encryption scheme. Secret keys are updated dynamically with SHA-256 hash value obtained from plain image. Hash values of plain image are efficiently used without loss of any hash value information. This makes the encryption scheme plaintext sensitive and secure against plaintext attacks. Performance and security aspects of encryption scheme is analyzed both quantitatively using predefined security metrics and qualitatively by scrutinizing the internal working of encryption scheme. Computational complexity of encrypting a plain image of size [Formula: see text] is [Formula: see text] and is suitable for encrypting keyframes of video for secure surveillance applications.

scholarly journals Image Encryption Algorithm Based on Chaotic Economic Model

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
S. S. Askar ◽  
A. A. Karawia ◽  
Ahmad Alshamrani
Keyword(s):  
Image Encryption ◽  
Chaotic Map ◽  
Security Analysis ◽  
Correlation Coefficients ◽  
Encryption Algorithm ◽  
Economic Systems ◽  
Plain Image ◽  
Encrypted Images ◽  
Image Encryption Algorithm ◽  
Gray Values

In literature, chaotic economic systems have got much attention because of their complex dynamic behaviors such as bifurcation and chaos. Recently, a few researches on the usage of these systems in cryptographic algorithms have been conducted. In this paper, a new image encryption algorithm based on a chaotic economic map is proposed. An implementation of the proposed algorithm on a plain image based on the chaotic map is performed. The obtained results show that the proposed algorithm can successfully encrypt and decrypt the images with the same security keys. The security analysis is encouraging and shows that the encrypted images have good information entropy and very low correlation coefficients and the distribution of the gray values of the encrypted image has random-like behavior.

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