A Novel Scheme for Designing Secure Substitution Boxes (S-Boxes) Based on Mobius Group and Finite Field

Arshad, Bilal; Siddiqui, Nasir; Hussain, Zamir; Ehatisham-ul-Haq, Muhammad

doi:10.1007/s11277-022-09524-1

Cited by 22 publications

(5 citation statements)

References 35 publications

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“…In the same year, B. Arshad [6] proposed the use of S-boxes using mobius groups and Galois finite fields. Through this method, linear and differential attacks can be avoided.…”

Section: Image Encryption and Decryptionmentioning

confidence: 99%

A Decentralized Storage System for 3D Medical Data with Dynamic AES and AES-GCM Encryption

Aditya

Lavanya

2023

Advances in Transdisciplinary Engineering

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The rapid digitalization of healthcare records has accelerated adoption of automated healthcare solutions. But healthcare records associated with patients can reach orders of petabytes in a few years. Therefore, to completely harness the full potential of digital healthcare technologies, scalable yet secure storage solutions are needed. Tamper-proofing medical records on decentralized storage, paired with data encryption can solve this problem. This paper proposes a working solution for this purpose using Storj as the underlying decentralized storage technology. In addition, a combination of Dynamic AES and AES-GCM is used for lossless content encryption. The viability of the proposed solution is discussed using quantitative and qualitative methods.

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“…In the same year, B. Arshad [6] proposed the use of S-boxes using mobius groups and Galois finite fields. Through this method, linear and differential attacks can be avoided.…”

Section: Image Encryption and Decryptionmentioning

confidence: 99%

A Decentralized Storage System for 3D Medical Data with Dynamic AES and AES-GCM Encryption

Aditya

Lavanya

2023

Advances in Transdisciplinary Engineering

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“…This approach prevented random production of S-Box and its attributes such as BIC and DP were 106.32 and 0.015625, while NL, SAC, and LP were 108, 0.5001, and 0.1545 respectively. In [47], Arshad et al suggested a method for creating new S-Boxes in an image encryption context. The S-Box excelled in reducing LP by 0.109 while maintaining a respectable SAC of 0.501 and a Nonlinearity of 107.…”

Section: Introductionmentioning

confidence: 99%

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

Qazi,

Zahid,

Baz

et al. 2024

IEEE Access

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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.

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“…More than 100 sbox generation algorithms have been proposed using many approaches from the past to the present. 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

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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.

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A Novel Scheme for Designing Secure Substitution Boxes (S-Boxes) Based on Mobius Group and Finite Field

Cited by 22 publications

References 35 publications

A Decentralized Storage System for 3D Medical Data with Dynamic AES and AES-GCM Encryption

A Decentralized Storage System for 3D Medical Data with Dynamic AES and AES-GCM Encryption

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

Comparison of Nonlinearity Value of Substitution Box Generation Approaches

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