A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure

Haque, Ahteshamul; Abdulhussein, Tabarak Ali; Ahmad, Musheer; Falah, Mayadah W.; El‐Latif, Ahmed A. Abd

doi:10.1109/access.2022.3218062

Cited by 18 publications

(2 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Unfortunately, the SAC requirement saw a decline. In [45], an innovative approach to safe block encryption was developed by the authors, fusing elements of chaos theory and 2D cellular automata. To improve upon the redundancy removal algorithm (R. R.…”

Section: Introductionmentioning

confidence: 99%

Innovative Transformation of S-Box Through Chaotic Map Using a Pragmatic Approach

Qazi,

Zahid,

Baz

et al. 2024

IEEE Access

View full text Add to dashboard Cite

In present-day data communication, the imperative to safeguard information and shield it from a multitude of potential threats and attacks has gained significant prominence. One of the pivotal tools employed in the pursuit of data protection is the design of robust substitution boxes (S-Boxes). These S-Boxes often find their roots in the realm of chaotic maps, leveraging the inherent unpredictability and complexity of these mathematical constructs. An S-Box is an integral and critical component in the design of modern ciphers offering a means to enhance the security of data by introducing non-linearity and confusion into the encryption process. In this research endeavor, we propose the development of a novel chaotic map to create an S-Box that exhibits a notably high nonlinear score making it more formidable for potential adversaries to decrypt the ciphertext. To substantiate the efficacy of the proposed S-Box, a comprehensive analysis is done by comparing its performance using standard criteria including nonlinearity (NL), strict avalanche criterion (SAC), bit independence criterion (BIC), presence of fixed points (FP), linear probability (LP), differential probability (DP), etc. to other state-of-the-art S-Boxes. The comparative analysis reinforces the security fortitude of the proposed S-Box in meeting the rigorous demands of modern data security and presents a vital contribution to the ever-evolving field of cryptographic techniques and data protection in the digital age.

show abstract

Section: Introductionmentioning

confidence: 99%

Innovative Transformation of S-Box Through Chaotic Map Using a Pragmatic Approach

Qazi,

Zahid,

Baz

et al. 2024

IEEE Access

View full text Add to dashboard Cite

show abstract

“…Among these approaches, the most; mathematical transformations [3][4][5][6][7][8], chaotic systems [9][10][11][12][13][14] and optimization techniques [15][16][17][18][19][20][21][22] are used. In addition, hybrid approaches have been developed [23][24][25] by combining DNA coding, cellular automata, and the benefits of existing approaches.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Nonlinearity Value of Substitution Box Generation Approaches

Artuğer

Karakuş

Özkaynak

2023

ICRAS

View full text Add to dashboard Cite

Substitution box (s-box) is one of the important structures that perform the mixing process for encryption algorithms. Therefore, strong s-box structures are needed to develop effective encryption algorithms. The most important feature of the S-box is that it has a nonlinear structure. In this way, it can effectively scramble the data to be encrypted. More than a hundred new algorithms have been proposed using many approaches to obtain s-box structures with high nonlinearity. In this study, the performances of the s-box generation approaches in recent years were compared according to their non-linearity values. In addition, the advantages and disadvantages of these approaches have been discussed and suggestions have been made especially for researchers who will just start in this field.

show abstract

Strong s-box construction approach based on Josephus problem

Artuğer

2024

Soft Comput

View full text Add to dashboard Cite

There are two basic requirements for symmetric encryption algorithms. The first of these is diffusion. The second and most important is confusion. In these algorithms, this requirement is usually met by s-box structures. Therefore, s-box structures must be strong. So, a cryptographically good s-box will make the encryption algorithm difficult to crack. However, obtaining a strong s-box is a rather difficult problem. In this study, Josephus circle logic is used to solve this problem. Initially, with a random s-box structure, the elements are replaced according to their Josephus positions, and the s-box is made stronger. In the proposed algorithm, according to the Josephus logic, the elements that kill each other are replaced and this process continues until one element remains. The last 30 surviving elements are replaced with all elements. In this way, three different s-boxes were obtained. In two of them, the nonlinearity value was 110.5, and in one of them, the nonlinearity value was 110.75. Fixed points in the proposed s-box structures were identified and eliminated. In addition, it has been proven because of the analysis that the obtained s-box structures also meet other cryptographic requirements. In addition to leaving behind most studies in the literature, the proposed method will also provide strong s-box structures for encryption algorithms to be built in the future.

show abstract

A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure

Cited by 18 publications

References 56 publications

Innovative Transformation of S-Box Through Chaotic Map Using a Pragmatic Approach

Innovative Transformation of S-Box Through Chaotic Map Using a Pragmatic Approach

Comparison of Nonlinearity Value of Substitution Box Generation Approaches

Strong s-box construction approach based on Josephus problem

Contact Info

Product

Resources

About