A novel algebraic construction of strong S-boxes over double GF(27) structures and image protection

A Razaq, M Ahmad, AAA El-Latif - Computational and Applied …, 2023 - Springer
To provide safe data communication, substitution boxes are employed in a variety of
frameworks and cryptosystems. The acceptance of the AES encryption standard posed a …

A novel algebraic technique for design of computational substitution-boxes using action of matrices on Galois field

N Siddiqui, H Khalid, F Murtaza… - IEEE …, 2020 - ieeexplore.ieee.org
Cryptography entails the practice of designing mathematical algorithms to secure data
communication over insecure networks in the presence of adversaries. In this aspect, a …

A robust S box design using cyclic groups and image encryption

R Ali, MK Jamil, AS Alali, J Ali, G Afzal - IEEE Access, 2023 - ieeexplore.ieee.org
Modern cryptographic systems use substitution boxes (S-boxes) throughout the encryption
process to enhance the security of the plaintext. The integrity of the communication process …

Enhancing Image Data Security with Chain and Non-Chain Galois Ring Structures

MU Safdar, T Shah, A Ali - Mathematics and Computers in Simulation, 2024 - Elsevier
The local ring-based cryptosystem is built upon the core mathematical operations of the
algebraic structure of local rings, which provides a significant advantage in ensuring security …

Design of a strong S-box based on a matrix approach

JA Aboytes-González, JS Murguía, M Mejía-Carlos… - Nonlinear …, 2018 - Springer
In this paper, we present a matrix approach based on the rule 90 cellular automata, and a
fractional linear transformation over Galois field GF (2^ 8) GF (2 8), to implement a strong …

Right translated AES gray S‐boxes

M Khan, NA Azam - Security and Communication Networks, 2015 - Wiley Online Library
This article deals with an algorithm for the generation of impregnable substitution boxes (S‐
box). The proposed scheme involves the application of right translation and Gray codes over …

A novel method for generation of strong substitution-boxes based on coset graphs and symmetric groups

A Razaq, H Alolaiyan, M Ahmad, MA Yousaf… - Ieee …, 2020 - ieeexplore.ieee.org
The success of AES encryption standard created challenges for the cryptographers to
construct strong substitution-boxes using different underlying approaches. It is because they …

A novel technique for the construction of safe substitution boxes based on cyclic and symmetric groups

A Razaq, HA Al-Olayan, A Ullah, A Riaz… - Security and …, 2018 - Wiley Online Library
In the literature, different algebraic techniques have been applied on Galois field GF (28) to
construct substitution boxes. In this paper, instead of Galois field GF (28), we use a cyclic …

[HTML][HTML] A highly nonlinear substitution-box (S-box) design using action of modular group on a projective line over a finite field

N Siddiqui, F Yousaf, F Murtaza, M Ehatisham-ul-Haq… - Plos one, 2020 - journals.plos.org
Cryptography is commonly used to secure communication and data transmission over
insecure networks through the use of cryptosystems. A cryptosystem is a set of cryptographic …

An LA-group based design of the non-linear component of block cipher

S Mumtaz, N Sanam, T ul Haq - Integration, 2023 - Elsevier
An S-box is a crucial component of modern block ciphers, providing confusion and making
them attack-resistant. For the last three decades, researchers have designed S-boxes using …