scholarly journals Construction of S-Box Based on Chaotic Map and Algebraic Structures

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 351 ◽  
Author(s):  
Iqtadar Hussain ◽  
Amir Anees ◽  
Temadher Al-Maadeed ◽  
Muhammad Mustafa
Keyword(s):  
Chaotic Map ◽  
Logistic Map ◽  
Symmetric Encryption ◽  
Secret Key ◽  
Substitution Box ◽  
Differential Approximation ◽  
Security Applications ◽  
Strict Avalanche Criterion ◽  
Main Component ◽  
Independence Criterion

The Advanced Encryption Standard (AES) is widely used in different kinds of security applications. The substitution box (S-box) is the main component of many modern symmetric encryption ciphers that provides confusion between the secret key and ciphertext. The S-box component that is used in AES is fixed. If we construct this component dynamically, the encryption strength of AES would be greater than before. In this manuscript, we used chaotic logistic map, Mobius transformation and symmetric group S 256 to construct S-box for AES. The idea behind the proposed work is to make supplementary safe S-box. The presented S-box is analyzed for the following analyses: linear approximation probability (LP), nonlinearity (NL), differential approximation probability (DP), strict avalanche criterion (SAC), and bit independence criterion (BIC). The analyses show that the proposed technique is useful in generating high resistance S-box to known attacks.

scholarly journals Generation Of Numerous S-Box for Advanced Encryption Standard

2019 ◽  
Vol 8 (2S4) ◽  
pp. 125-127
Keyword(s):  
Linear Part ◽  
Encryption Algorithm ◽  
Advanced Encryption Standard ◽  
Symmetric Encryption ◽  
Substitution Box ◽  
Text And Image ◽  
Differential Approximation ◽  
Strength Differential ◽  
Non Linear ◽  
Independence Criterion

Substitution box is the non-linear part in Symmetric Encryption Algorithm. It gives the various alternate methods for the construction of S-Box by taking AES Substitution Box as base or modified version of AES S-Box. Hence it is proving that either AES S-box or modified version such as Gray S-Box, S8 S-Box is also satisfying the important parameters of S-Box such as nonlinearity, SAC, Bit Independence Criterion, Diffusion Strength, Differential Approximation probability while we are encrypting both the text and image

scholarly journals S-Box Construction Method Based on the Combination of Quantum Chaos and PWLCM Chaotic Map

2021 ◽  
Vol 15 (4) ◽  
pp. 1-17
Author(s):  
Jun Peng ◽  
Shangzhu Jin ◽  
Shaoning Pang ◽  
Du Zhang ◽  
Lixiao Feng ◽  
...  
Keyword(s):  
Chaotic System ◽  
Quantum Chaos ◽  
Chaotic Systems ◽  
User Authentication ◽  
Chaotic Map ◽  
Data Encryption ◽  
Performance Comparison ◽  
Generation Process ◽  
Secret Key ◽  
Differential Approximation

For a security system built on symmetric-key cryptography algorithms, the substitution box (S-box) plays a crucial role to resist cryptanalysis. In this article, we incorporate quantum chaos and PWLCM chaotic map into a new method of S-box design. The secret key is transformed to generate a six tuple system parameter, which is involved in the generation process of chaotic sequences of two chaotic systems. The output of one chaotic system will disturb the parameters of another chaotic system in order to improve the complexity of encryption sequence. S-box is obtained by XOR operation of the output of two chaotic systems. Over the obtained 500 key-dependent S-boxes, we test the S-box cryptographical properties on bijection, nonlinearity, SAC, BIC, differential approximation probability, respectively. Performance comparison of proposed S-box with those chaos-based one in the literature has been made. The results show that the cryptographic characteristics of proposed S-box has met our design objectives and can be applied to data encryption, user authentication and system access control.

scholarly journals Efficient Chaos-Based Substitution-Box and Its Application to Image Encryption

Electronics ◽  
2021 ◽  
Vol 10 (12) ◽  
pp. 1392
Author(s):  
Ahmed A. Abd El-Latif ◽  
Bassem Abd-El-Atty ◽  
Akram Belazi ◽  
Abdullah M. Iliyasu
Keyword(s):  
High Performance ◽  
Chaotic Systems ◽  
Chaotic Map ◽  
Input Image ◽  
Gray Codes ◽  
Secret Key ◽  
Substitution Box ◽  
3 Dimensional ◽  
Substitution Boxes ◽  
Image Cryptosystem

Chaotic systems are vital in designing contemporary cryptographic systems. This study proposes an innovative method for constructing an effective substitution box using a 3-dimensional chaotic map. Moreover, bouyed by the efficiency of the proposed chaos-based substitution boxes’ effectiveness, we introduce a new chaos-based image cryptosystem that combines the adeptness of Gray codes, a non-linear and sensitive hyper-chaotic system, and the proposed S-box. The generated secret key emanating from the cryptosystem is correlated to the input image to produce a unique key for each image. Extensive experimental outcomes demonstrate the utility, effectiveness, and high performance of the resulting cryptosystem.

scholarly journals Construction of an S-Box Based on Chaotic and Bent Functions

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 671
Author(s):  
Zijing Jiang ◽  
Qun Ding
Keyword(s):  
Chaos Theory ◽  
Boolean Functions ◽  
Security Analysis ◽  
Bent Function ◽  
Bent Functions ◽  
Encryption Algorithm ◽  
Symmetric Encryption ◽  
Differential Uniformity ◽  
Strict Avalanche Criterion ◽  
Independence Criterion

An S-box is the most important part of a symmetric encryption algorithm. Various schemes are put forward by using chaos theory. In this paper, a construction method of S-boxes with good cryptographic properties is proposed. The output of an S-box can be regarded as a group of Boolean functions. Therefore, we can use the different properties of chaos and Bent functions to generate a random Bent function with a high nonlinearity. By constructing a set of Bent functions as the output of an S-box, we can create an S-box with good cryptological properties. The nonlinearity, differential uniformity, strict avalanche criterion and the independence criterion of output bits are then analyzed and tested. A security analysis shows that the proposed S-box has excellent cryptographic properties.

scholarly journals JPEG Images Encryption Scheme Using Elliptic Curves and A New S-Box Generated by Chaos

Electronics ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 413
Author(s):  
Erick Hernández-Díaz ◽  
Héctor Pérez-Meana ◽  
Víctor Silva-García ◽  
Rolando Flores-Carapia
Keyword(s):  
Power Analysis ◽  
Logistic Map ◽  
Symmetric Encryption ◽  
Substitution Box ◽  
Suitable Alternative ◽  
Jpeg Images ◽  
Cipher Text ◽  
Solution Point ◽  
Single Block

This paper proposes a new symmetric encryption system based on an elliptical curve and chaos, where the encryption is done in a single block and runs for 14 rounds. Here, the 15 encryption keys have the same size as the image and are generated using a solution point of a strong elliptic curve. Using a string of random numbers obtained with a logistic map, a permutation and its inverse are generated, which improve the encryption level and add diffusion to the cryptosystem. Another important contribution to this research is the generation of a substitution box with a non-linearity of 100, which strengthens the cryptosystem against differential and linear attacks that add confusion to the scheme. Moreover, the cryptographic properties of the proposed S-Box are compared with those of the S-Box of the Advanced Encryption Standard (AES) to ascertain that it is a suitable alternative that it is resistant to differential power analysis (DPA) attacks. To verify the robustness of proposed cryptosystem against cryptanalysis and the quality of the cipher text obtained, this system is subjected to different tests, such as entropy, correlation coefficient, χ2, Changing Pixel Rate (NPCR), and Unified Averaged Changing Intensity (UACI). The results are shown and compared with recently proposed systems.

scholarly journals A new color image encryption technique using DNA computing and Chaos-based substitution box

2021 ◽  
Author(s):  
Fawad Masood ◽  
Junaid Masood ◽  
Lejun Zhang ◽  
Sajjad Shaukat Jamal ◽  
Wadii Boulila ◽  
...  
Keyword(s):  
Dna Computing ◽  
Color Image ◽  
Image Data ◽  
Sensitive Information ◽  
Substitution Box ◽  
Chaotic Dynamical System ◽  
Comparison Results ◽  
Strict Avalanche Criterion ◽  
Arnold Transformation ◽  
Independence Criterion

AbstractIn many cases, images contain sensitive information and patterns that require secure processing to avoid risk. It can be accessed by unauthorized users who can illegally exploit them to threaten the safety of people’s life and property. Protecting the privacies of the images has quickly become one of the biggest obstacles that prevent further exploration of image data. In this paper, we propose a novel privacy-preserving scheme to protect sensitive information within images. The proposed approach combines deoxyribonucleic acid (DNA) sequencing code, Arnold transformation (AT), and a chaotic dynamical system to construct an initial S-box. Various tests have been conducted to validate the randomness of this newly constructed S-box. These tests include National Institute of Standards and Technology (NIST) analysis, histogram analysis (HA), nonlinearity analysis (NL), strict avalanche criterion (SAC), bit independence criterion (BIC), bit independence criterion strict avalanche criterion (BIC-SAC), bit independence criterion nonlinearity (BIC-NL), equiprobable input/output XOR distribution, and linear approximation probability (LP). The proposed scheme possesses higher security wit NL = 103.75, SAC ≈ 0.5 and LP = 0.1560. Other tests such as BIC-SAC and BIC-NL calculated values are 0.4960 and 112.35, respectively. The results show that the proposed scheme has a strong ability to resist many attacks. Furthermore, the achieved results are compared to existing state-of-the-art methods. The comparison results further demonstrate the effectiveness of the proposed algorithm.

A NEW CHAOTIC CRYPTOGRAPHY BASED ON ERGODICITY

2008 ◽  
Vol 22 (07) ◽  
pp. 901-908 ◽  
Author(s):  
XINGYUAN WANG ◽  
CHAOFENG DUAN ◽  
NINI GU
Keyword(s):  
Chaotic System ◽  
Control Parameter ◽  
Chaotic Map ◽  
Logistic Map ◽  
Initial Condition ◽  
Secret Key ◽  
Chaotic Cryptography ◽  
And Diffusion ◽  
Confusion And Diffusion ◽  
Number Of Iterations

This paper analyzes the encryption and weaknesses of E. Álvarez cryptography. On the basis of this, a new chaotic cryptography based on ergodicity is presented. The control parameter and the initial condition of the chaotic system are chosen as a secret key. A bit chain is generated by iterating the chaotic map, and the location where a plaintext grouping appears in the chain is found. We then write down the number of iterations of the chaotic map as the ciphertext grouping. Several weaknesses of the E. Álvarez cryptography are avoided in the new scheme, and the security of the new scheme is improved. In the end, the new cryptography is studied experimentally using the Logistic map, where the new cryptography's confusion and diffusion is validated, and its effectiveness is also illuminated.

scholarly journals S-box Construction Method Based on the Combination of Quantum Chaos and PWLCM Chaotic Map

2021 ◽  
Vol 15 (4) ◽  
pp. 0-0
Keyword(s):  
Chaotic System ◽  
Quantum Chaos ◽  
Chaotic Systems ◽  
User Authentication ◽  
Chaotic Map ◽  
Data Encryption ◽  
Performance Comparison ◽  
Generation Process ◽  
Secret Key ◽  
Differential Approximation

For a security system built on symmetric-key cryptography algorithms, the substitution box (S-box) plays a crucial role to resist cryptanalysis. In this article, we incorporate quantum chaos and PWLCM chaotic map into a new method of S-box design. The secret key is transformed to generate a six tuple system parameter, which is involved in the generation process of chaotic sequences of two chaotic systems. The output of one chaotic system will disturb the parameters of another chaotic system in order to improve the complexity of encryption sequence. S-box is obtained by XOR operation of the output of two chaotic systems. Over the obtained 500 key-dependent S-boxes, we test the S-box cryptographical properties on bijection, nonlinearity, SAC, BIC, differential approximation probability, respectively. Performance comparison of proposed S-box with those chaos-based one in the literature has been made. The results show that the cryptographic characteristics of proposed S-box has met our design objectives and can be applied to data encryption, user authentication and system access control.

Image Encryption Algorithm Based on Substitution Principle and Shuffling Scheme

2020 ◽  
Vol 38 (3B) ◽  
pp. 98-103
Author(s):  
Atyaf S. Hamad ◽  
Alaa K. Farhan
Keyword(s):  
Image Encryption ◽  
Chaotic Map ◽  
Logistic Map ◽  
Encryption Algorithm ◽  
Second Phase ◽  
Cipher Text ◽  
The Face ◽  
Substitution Principle ◽  
2D Logistic Map ◽  
Image Encryption Algorithm

This research presents a method of image encryption that has been designed based on the algorithm of complete shuffling, transformation of substitution box, and predicated image crypto-system. This proposed algorithm presents extra confusion in the first phase because of including an S-box based on using substitution by AES algorithm in encryption and its inverse in Decryption. In the second phase, shifting and rotation were used based on secrete key in each channel depending on the result from the chaotic map, 2D logistic map and the output was processed and used for the encryption algorithm. It is known from earlier studies that simple encryption of images based on the scheme of shuffling is insecure in the face of chosen cipher text attacks. Later, an extended algorithm has been projected. This algorithm performs well against chosen cipher text attacks. In addition, the proposed approach was analyzed for NPCR, UACI (Unified Average Changing Intensity), and Entropy analysis for determining its strength.

A New Image Encryption Scheme Using Dual Chaotic Map Synchronization

2020 ◽  
Vol 18 (1) ◽  
Keyword(s):  
Image Encryption ◽  
Chaotic Systems ◽  
Initial Conditions ◽  
Chaotic Map ◽  
Security Applications ◽  
The Common ◽  
And Diffusion ◽  
Confusion And Diffusion ◽  
Sensitivity To Initial Conditions ◽  
Diffusion Properties

Chaotic systems behavior attracts many researchers in the field of image encryption. The major advantage of using chaos as the basis for developing a crypto-system is due to its sensitivity to initial conditions and parameter tunning as well as the random-like behavior which resembles the main ingredients of a good cipher namely the confusion and diffusion properties. In this article, we present a new scheme based on the synchronization of dual chaotic systems namely Lorenz and Chen chaotic systems and prove that those chaotic maps can be completely synchronized with other under suitable conditions and specific parameters that make a new addition to the chaotic based encryption systems. This addition provides a master-slave configuration that is utilized to construct the proposed dual synchronized chaos-based cipher scheme. The common security analyses are performed to validate the effectiveness of the proposed scheme. Based on all experiments and analyses, we can conclude that this scheme is secure, efficient, robust, reliable, and can be directly applied successfully for many practical security applications in insecure network channels such as the Internet

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