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In this work, we present an algorithm for the design of $n\times n$-bits substitution boxes (S-boxes) based on time series of a discrete dynamical system with chaotic behavior. The elements of a $n\times n$-bits substitution box are given…

Dynamical Systems · Mathematics 2019-02-19 B. B. Cassal-Quiroga , E. Campos-Cantón

Background and Objectives: Substitution-box (s-box) is one of the essential components to create confusion and nonlinear properties in cryptography. To strengthening a cipher against various attacks, including side channel attacks, these…

Cryptography and Security · Computer Science 2021-09-21 Behrooz Khadem , Saeed Rajavzade

Mathematically constructed S-boxes arise from algebraic structures and finite field theory to ensure strong, provable cryptographic properties. These mathematically grounded constructions allow for generation of thousands of S-Boxes with…

Cryptography and Security · Computer Science 2025-10-24 James Kim

This study explores the application of genetic algorithms in generating highly nonlinear substitution boxes (S-boxes) for symmetric key cryptography. We present a novel implementation that combines a genetic algorithm with the…

Cryptography and Security · Computer Science 2026-04-13 Oleksandr Kuznetsov , Nikolay Poluyanenko , Emanuele Frontoni , Marco Arnesano , Oleksii Smirnov

The protection of confidential information is a global issue and block encryption algorithms are the most reliable option. The famous information theorist, Claude Shannon has given two desirable characteristics that should exist in a strong…

Cryptography and Security · Computer Science 2022-05-30 Muhammad Fahad Khan , Khalid Saleem , Tariq Shah , Mohammad Mazyad Hazzazi , Ismail Bahkali , Piyush Kumar Shukla

With the tremendous benefits of internet and advanced communications, there is a serious threat from the data security perspective. There is a need of secure and robust encryption algorithm that can be implemented on each and diverse…

Cryptography and Security · Computer Science 2020-04-28 Iqtadar Hussain , Amir Anees , Temadher Alassiry Al-Maadeed , M. T. Mustafa

S-boxes are an important primitive that help cryptographic algorithms to be resilient against various attacks. The resilience against specific attacks can be connected with a certain property of an S-box, and the better the property value,…

Neural and Evolutionary Computing · Computer Science 2022-12-12 Marko Djurasevic , Domagoj Jakobovic , Luca Mariot , Sihem Mesnager , Stjepan Picek

Block ciphers use S-boxes to create confusion in the cryptosystems. Such S-boxes are functions over $\mathbb{F}_{2^{n}}$. These functions should have low differential uniformity, high nonlinearity, and high algebraic degree in order to…

Cryptography and Security · Computer Science 2021-03-22 Yan-Ping Wang , WeiGuo Zhang , Zhengbang Zha

Elliptic curve cryptography has received great attention in recent years due to its high resistance against modern cryptanalysis. The aim of this article is to present efficient generators to generate substitution boxes (S-boxes) and pseudo…

Cryptography and Security · Computer Science 2019-10-15 Ikram Ullah , Naveed Ahmed Azam , Umar Hayat

A dynamic SBox using a chaotic map is a cryptography technique that changes the SBox during encryption based on iterations of a chaotic map, adding an extra layer of confusion and security to symmetric encryption algorithms like AES. The…

Cryptography and Security · Computer Science 2023-10-11 Kashif Ishaq , Khwaja Ahmad Hassan , Yahya Tauqeer Bhatti

We investigate S-boxes defined by pairs of Orthogonal Cellular Automata (OCA), motivated by the fact that such CA always define bijective vectorial Boolean functions, and could thus be interesting for the design of block ciphers. In…

Cryptography and Security · Computer Science 2022-05-17 Luca Mariot , Luca Manzoni

Internet of Things is an ecosystem of interconnected devices that are accessible through the internet. The recent research focuses on adding more smartness and intelligence to these edge devices. This makes them susceptible to various kinds…

Most of the approaches published in the literature to construct S-boxes via Cellular Automata (CA) work by either iterating a finite CA for several time steps, or by a one-shot application of the global rule. The main characteristic that…

Cryptography and Security · Computer Science 2023-03-10 Luca Mariot , Luca Manzoni

We propose a new 10-bit S-box generated from a Feistel construction. The subpermutations are generated by a 5-cell cellular automaton based on a unique well-chosen rule and bijective affine transformations. In particular, the cellular…

Cryptography and Security · Computer Science 2025-07-04 Thomas Prévost , Bruno Martin

An improved CAST-128 encryption algorithm, which is done by implementing chaos-based adaptive S-box generation using Logistic sine Map (LSM), has been provided in this paper because of the increasing requirements of efficient and smart…

Cryptography and Security · Computer Science 2025-09-10 Fadhil Abbas Fadhil , Maryam Mahdi Alhusseini , Mohammad-Reza Feizi-Derakhshi

Lightweight cryptography was primarily inspired by the design criteria of symmetric cryptography. It plays a vital role in ensuring the security, privacy, and reliability of microelectronic devices without compromising the overall…

Cryptography and Security · Computer Science 2025-10-08 Mahnoor Naseer , Sundas Tariq , Naveed Riaz , Naveed Ahmed , Shah Fahd , Mureed Hussain , Sajid Ali Khan

In this paper, we propose an image encryption algorithm based on the chaos, substitution boxes, nonlinear transformation in Galois field and Latin square. Initially, the dynamic S boxes are generated using Fisher Yates shuffle method and…

Cryptography and Security · Computer Science 2017-09-25 Musheer Ahmad , Akshay Chopra

Substitution Box or S-Box had been generated using 4-bit Boolean Functions (BFs) for Encryption and Decryption Algorithm of Lucifer and Data Encryption Standard (DES) in late sixties and late seventies respectively. The S-box of Advance…

Cryptography and Security · Computer Science 2017-11-28 Sankhanil Dey. Ranjan Ghosh

Permutations over $F_{2^{2k}}$ with low differential uniform, high algebraic degree and high nonlinearity are of great cryptographical importance since they can be chosen as the substitution boxes (S-boxes) for many block ciphers. A well…

Information Theory · Computer Science 2014-07-21 Jie Peng , Chik How Tan , Qichun Wang

One of the major open problems in symmetric cryptanalysis is to discover new specif i c types of invariant properties which can hold for a larger number of rounds of a block cipher. We have Generalised Linear Cryptanalysis (GLC) and…

Cryptography and Security · Computer Science 2019-02-08 Nicolas T. Courtois , Marios Georgiou
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