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253 Results Found

  • Article
  • Open Access
109 Citations
6,779 Views
10 Pages

25 March 2019

In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-b...

  • Article
  • Open Access
55 Citations
4,567 Views
13 Pages

5 April 2020

Symmetry plays an important role in nonlinear system theory. In particular, it offers several methods by which to understand and model the chaotic behavior of mathematical, physical and biological systems. This study examines chaotic behavior in the...

(This article belongs to the Special Issue Symmetry in Chaotic Systems and Circuits)
  • Article
  • Open Access
113 Citations
6,073 Views
13 Pages

A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation

  • Amjad Hussain Zahid,
  • Muhammad Junaid Arshad and
  • Musheer Ahmad

5 March 2019

A symmetric block cipher employing a substitution–permutation duo is an effective technique for the provision of information security. For substitution, modern block ciphers use one or more substitution boxes (S-Boxes). Certain criteria and des...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
108 Citations
5,576 Views
17 Pages

A New Hyperchaotic System-Based Design for Efficient Bijective Substitution-Boxes

  • Eesa Al Solami,
  • Musheer Ahmad,
  • Christos Volos,
  • Mohammad Najam Doja and
  • Mirza Mohd Sufyan Beg

12 July 2018

In this paper, we present a novel method to construct cryptographically strong bijective substitution-boxes based on the complicated dynamics of a new hyperchaotic system. The new hyperchaotic system was found to have good characteristics when compar...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
31 Citations
3,237 Views
16 Pages

An External Parameter Independent Novel Cost Function for Evolving Bijective Substitution-Boxes

  • Alejandro Freyre-Echevarría,
  • Ahmad Alanezi,
  • Ismel Martínez-Díaz,
  • Musheer Ahmad,
  • Ahmed A. Abd El-Latif,
  • Hoshang Kolivand and
  • Abdul Razaq

18 November 2020

The property of nonlinearity has high importance for the design of strong substitution boxes. Therefore, the development of new techniques to produce substitution boxes with high values of nonlinearity is essential. Many research papers have shown th...

(This article belongs to the Section A: Computer Science)
  • Proceeding Paper
  • Open Access
1 Citations
1,110 Views
9 Pages

An In-Depth Analytical Cryptanalysis for Substitution Boxes: Odd Size Case Study

  • Ismail El Gaabouri,
  • Mostafa Belkasmi,
  • Mohamed Senhadji and
  • Brahim El Bhiri

15 October 2025

From hieroglyphic writing in ancient Egypt to the post-quantum edge, cryptology is usually seen as an immortal concept that evolves within the enhancement of human civilization. However, modern cryptography primitives try to make revealing ciphered i...

(This article belongs to the Proceedings of 7th Edition of the International Conference on Advanced Technologies for Humanity (ICATH 2025))
  • Article
  • Open Access
7 Citations
3,147 Views
19 Pages

14 October 2020

Black-box attacks against deep neural network (DNN) classifiers are receiving increasing attention because they represent a more practical approach in the real world than white box attacks. In black-box environments, adversaries have limited knowledg...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
68 Citations
4,683 Views
19 Pages

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

  • Ahmed A. Abd El-Latif,
  • Bassem Abd-El-Atty,
  • Akram Belazi and
  • Abdullah M. Iliyasu

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 c...

(This article belongs to the Special Issue Recent Advances in Chaotic Systems and Their Security Applications)
  • Article
  • Open Access
31 Citations
3,624 Views
25 Pages

Chaos and Cellular Automata-Based Substitution Box and Its Application in Cryptography

  • Arslan Shafique,
  • Kashif Hesham Khan,
  • Mohammad Mazyad Hazzazi,
  • Ismail Bahkali,
  • Zaid Bassfar and
  • Mujeeb Ur Rehman

16 May 2023

Substitution boxes are the key factor in symmetric-key cryptosystems that determines their ability to resist various cryptanalytic attacks. Creating strong substitution boxes that have multiple strong cryptographic properties at the same time is a ch...

(This article belongs to the Special Issue Advances in Algebraic Coding Theory and Cryptography)
  • Article
  • Open Access
30 Citations
4,322 Views
14 Pages

Boosting Targeted Black-Box Attacks via Ensemble Substitute Training and Linear Augmentation

  • Xianfeng Gao,
  • Yu-an Tan,
  • Hongwei Jiang,
  • Quanxin Zhang and
  • Xiaohui Kuang

3 June 2019

These years, Deep Neural Networks (DNNs) have shown unprecedented performance in many areas. However, some recent studies revealed their vulnerability to small perturbations added on source inputs. Furthermore, we call the ways to generate these pert...

(This article belongs to the Special Issue Advances in Deep Learning)
  • Article
  • Open Access
7 Citations
3,163 Views
25 Pages

22 June 2022

The main component of a cryptographic system that allows us to ensure its strength against attacks, is the substitution box. The strength of this component can be validated by various metrics, one of them being the nonlinearity. To this end, it is es...

  • Article
  • Open Access
4 Citations
2,614 Views
20 Pages

15 August 2024

With the rapid proliferation of the Internet of Things (IoT) in recent years, the number of IoT devices has surged exponentially. These devices collect and transmit vast amounts of data, including sensitive information. Encrypting data is a crucial m...

  • Article
  • Open Access
18 Citations
3,758 Views
15 Pages

In the realm of smart communication systems, where the ubiquity of 5G/6G networks and IoT applications demands robust data confidentiality, the cryptographic integrity of block and stream cipher mechanisms plays a pivotal role. This paper focuses on...

(This article belongs to the Special Issue Advances in Authentication, Authorization and Privacy for Securing Smart Communications)
  • Article
  • Open Access
21 Citations
3,703 Views
16 Pages

Generation of Nonlinear Substitutions by Simulated Annealing Algorithm

  • Alexandr Kuznetsov,
  • Mikolaj Karpinski,
  • Ruslana Ziubina,
  • Sergey Kandiy,
  • Emanuele Frontoni,
  • Oleksandr Peliukh,
  • Olga Veselska and
  • Ruslan Kozak

26 April 2023

The problem of nonlinear substitution generation (S-boxes) is investigated in many related works in symmetric key cryptography. In particular, the strength of symmetric ciphers to linear cryptanalysis is directly related to the nonlinearity of substi...

  • Article
  • Open Access
7 Citations
3,002 Views
27 Pages

Chaos-Based S-Boxes as a Source of Confusion in Cryptographic Primitives

  • Élvio Carlos Dutra e Silva Junior,
  • Carlos Augusto de Moraes Cruz,
  • Isaias Abner Lima Saraiva,
  • Fávero Guilherme Santos,
  • Carlos Raimundo Pereira dos Santos Junior,
  • Leandro Soares Indrusiak,
  • Weiler Alves Finamore and
  • Manfred Glesner

In recent years, many chaos-based encryption algorithms have been proposed. Many of these are based on established designs and populate their S-boxes with values derived from chaotic maps, following conventional implementation strategies to enable co...

  • Article
  • Open Access
26 Citations
4,287 Views
19 Pages

Optimization of a Simulated Annealing Algorithm for S-Boxes Generating

  • Alexandr Kuznetsov,
  • Lukasz Wieclaw,
  • Nikolay Poluyanenko,
  • Lukasz Hamera,
  • Sergey Kandiy and
  • Yelyzaveta Lohachova

14 August 2022

Cryptographic algorithms are used to ensure confidentiality, integrity and authenticity of data in information systems. One of the important areas of modern cryptography is that of symmetric key ciphers. They convert the input plaintext into cipherte...

(This article belongs to the Special Issue Emerging IT Security Technologies in the Computer Systems: Network Security and Cryptography)
  • Article
  • Open Access
2 Citations
1,319 Views
23 Pages

10 September 2025

One of the essential parts of contemporary cryptographic systems is s-boxes (Substitution Boxes), which give encryption algorithms more complexity and resilience due to their nonlinear structure. In this study, we propose CSBA (Cuckoo Search–Be...

(This article belongs to the Special Issue Biomimicry for Optimization, Control, and Automation: 3rd Edition)
  • Article
  • Open Access
28 Citations
3,588 Views
20 Pages

A Digital Image Confidentiality Scheme Based on Pseudo-Quantum Chaos and Lucas Sequence

  • Khushbu Khalid Butt,
  • Guohui Li,
  • Fawad Masood and
  • Sajid Khan

11 November 2020

Several secure image encryption systems have been researched and formed by chaotic mechanisms in current decades. This work recommends an innovative quantum color image encryption method focused on the Lucas series-based substitution box to enhance t...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
62 Citations
8,507 Views
11 Pages

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

  • Iqtadar Hussain,
  • Amir Anees,
  • Temadher Alassiry Al-Maadeed and
  • Muhammad Tahir Mustafa

8 March 2019

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 ciphe...

  • Article
  • Open Access
48 Citations
5,065 Views
17 Pages

15 December 2020

The construction of substitute box (S-box) has always been an important research direction in cryptography. This paper proposes a new S-box generation method and advanced design based on combined chaotic system. Firstly, our paper proposes a new comb...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
20 Citations
3,341 Views
14 Pages

19 December 2020

The substitution box (S-box) is the only nonlinear components in the symmetric block cipher. Its performance directly determines the security strength of the block cipher. With the dynamic characteristics degradation and the local periodic phenomenon...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
62 Citations
18,211 Views
16 Pages

17 May 2020

Substitution boxes (S-box) with strong and secure cryptographic properties are widely used for providing the key property of nonlinearity in block ciphers. This is critical to be resistant to a standard attack including linear and differential crypta...

  • Article
  • Open Access
4 Citations
1,991 Views
19 Pages

Enumerating Discrete Resonant Rossby/Drift Wave Triads and Their Application in Information Security

  • Umar Hayat,
  • Ikram Ullah,
  • Ghulam Murtaza,
  • Naveed Ahmed Azam and
  • Miguel D. Bustamante

22 November 2022

We propose a new parametrization of the resonant Rossby/drift wave triads to develop an algorithm to enumerate all resonant triads in a given grid of wavenumbers. To arrive at such a parametrization, we have employed tools from arithmetic/algebraic g...

(This article belongs to the Special Issue Research and Applications of Discrete Mathematics)
  • Article
  • Open Access
43 Citations
3,618 Views
24 Pages

16 July 2022

The double random phase encoding (DRPE) system plays a significant role in encrypted systems. However, it is a linear system that leads to security holes in encrypted systems. To tackle this issue, this paper proposes a novel optical image encryption...

(This article belongs to the Section Optical Sensors)
  • Article
  • Open Access
24 Citations
4,973 Views
19 Pages

Image Encryption Using Elliptic Curves and Rossby/Drift Wave Triads

  • Ikram Ullah,
  • Umar Hayat and
  • Miguel D. Bustamante

16 April 2020

We propose an image encryption scheme based on quasi-resonant Rossby/drift wave triads (related to elliptic surfaces) and Mordell elliptic curves (MECs). By defining a total order on quasi-resonant triads, at a first stage we construct quasi-resonant...

(This article belongs to the Special Issue Entropy in Image Analysis II)
  • Article
  • Open Access
15 Citations
4,007 Views
26 Pages

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

  • Erick Hernández-Díaz,
  • Héctor Pérez-Meana,
  • Víctor Silva-García and
  • Rolando Flores-Carapia

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...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
757 Views
25 Pages

17 April 2026

A difficult NP-hard optimization problem, designing cryptographically robust substitution-boxes (S-boxes) necessitates a careful balancing act between several conflicting properties, such as differential uniformity and nonlinearity. Genetic Algorithm...

  • Article
  • Open Access
4 Citations
2,009 Views
53 Pages

Enhancing Cryptographic Primitives through Dynamic Cost Function Optimization in Heuristic Search

  • Oleksandr Kuznetsov,
  • Nikolay Poluyanenko,
  • Emanuele Frontoni,
  • Sergey Kandiy,
  • Mikolaj Karpinski and
  • Ruslan Shevchuk

The efficiency of heuristic search algorithms is a critical factor in the realm of cryptographic primitive construction, particularly in the generation of highly nonlinear bijective permutations, known as substitution boxes (S-boxes). The vast search...

(This article belongs to the Special Issue Security, Privacy, Confidentiality and Trust in Blockchain)
  • Article
  • Open Access
44 Citations
5,503 Views
12 Pages

Image Watermarking Scheme Using LSB and Image Gradient

  • Zaid Bin Faheem,
  • Mubashir Ali,
  • Muhammad Ahsan Raza,
  • Farrukh Arslan,
  • Jehad Ali,
  • Mehedi Masud and
  • Mohammad Shorfuzzaman

21 April 2022

In the modern age, watermarking techniques are mandatory to secure digital communication over the internet. For an optimal technique, a high signal-to-noise ratio and normalized correctional is required. In this paper, a digital watermarking techniqu...

  • Article
  • Open Access
12 Citations
2,106 Views
18 Pages

An Efficient Audio Encryption Scheme Based on Elliptic Curve over Finite Fields

  • Hafeez Ur Rehman,
  • Mohammad Mazyad Hazzazi,
  • Tariq Shah,
  • Zaid Bassfar and
  • Dawood Shah

6 September 2023

Elliptic curve (EC) based cryptographic systems are more trustworthy than the currently used cryptographic approaches since they require less computational work while providing good security. This paper shows how to use an EC to make a good cryptosys...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
33 Citations
5,079 Views
24 Pages

A Novel Image Encryption Scheme Based on Elliptic Curves over Finite Rings

  • Umar Hayat,
  • Ikram Ullah,
  • Naveed Ahmed Azam and
  • Sumaira Azhar

19 April 2022

Image encryption based on elliptic curves (ECs) is emerging as a new trend in cryptography because it provides high security with a relatively smaller key size when compared with well-known cryptosystems. Recently, it has been shown that the cryptosy...

(This article belongs to the Special Issue Computational Imaging and Image Encryption with Entropy)
  • Article
  • Open Access
544 Views
17 Pages

20 September 2026

Single-factor experiments were conducted with sensory score set as the evaluation index to investigate individual effects of sugar substitution dosage, mass ratio of xylitol (Xyl) to isomaltooligosaccharide (IMO), and osmotic soaking duration on the...

(This article belongs to the Section Food Engineering and Technology)
  • Article
  • Open Access
97 Citations
7,865 Views
25 Pages

23 September 2022

Chaotic-maps-based image encryption methods have been a topic of research interest for a decade. However, most of the proposed methods suffer from slow encryption time or compromise on the security of the encryption to achieve faster encryption. This...

(This article belongs to the Special Issue Information Security and Privacy: From IoT to IoV)
  • Article
  • Open Access
46 Citations
6,905 Views
15 Pages

Image Watermarking Using Least Significant Bit and Canny Edge Detection

  • Zaid Bin Faheem,
  • Abid Ishaq,
  • Furqan Rustam,
  • Isabel de la Torre Díez,
  • Daniel Gavilanes,
  • Manuel Masias Vergara and
  • Imran Ashraf

20 January 2023

With the advancement in information technology, digital data stealing and duplication have become easier. Over a trillion bytes of data are generated and shared on social media through the internet in a single day, and the authenticity of digital dat...

(This article belongs to the Section Internet of Things)
  • Article
  • Open Access
1,297 Views
34 Pages

The SMA: A Novel 2D Matrix-Based Lightweight Block Cipher for IoT Security

  • Safia Meteb Al-Nofaie,
  • Sanaa Sharaf and
  • Rania Molla

30 December 2025

The rapid expansion of Internet of Things (IoT) and mobile devices has intensified the demand for lightweight cryptographic algorithms capable of delivering strong security with minimal computational overhead. This work presents the SMA, a Secure Mat...

(This article belongs to the Special Issue Advanced IoT Security Solutions for Healthcare and Critical Infrastructures)
  • Article
  • Open Access
8 Citations
1,704 Views
32 Pages

11 August 2025

With the growing demand for secure image communication, effective encryption solutions are critical for safeguarding visual data from unauthorized access. The substitution box (S-box) in AES (Advanced Encryption Standard) is critical for ensuring non...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
11 Citations
4,160 Views
14 Pages

Improvement of Radio Frequency Identification Security Using New Hybrid Advanced Encryption Standard Substitution Box by Chaotic Maps

  • Amira S. El Batouty,
  • Hania H. Farag,
  • Amr A. Mokhtar,
  • El-Sayed A. El-Badawy and
  • Moustafa H. Aly

Radio Frequency Identification (RFID) technology is widely utilized by businesses, organizations and wireless communication systems. RFID technology is secured using different ways of data encryption, e.g., Advanced Encryption Standard (AES). The Sub...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
352 Views
30 Pages

9 June 2026

Existing chaos-based color image encryption algorithms still face several challenges, including insufficient dynamical complexity of low-dimensional chaotic maps, residual boundary regularity caused by fixed block partitioning, and limited diffusion...

  • Article
  • Open Access
7 Citations
2,168 Views
17 Pages

Hybrid Population-Based Hill Climbing Algorithm for Generating Highly Nonlinear S-boxes

  • Oleksandr Kuznetsov,
  • Nikolay Poluyanenko,
  • Kateryna Kuznetsova,
  • Emanuele Frontoni and
  • Marco Arnesano

2 December 2024

This paper introduces the hybrid population-based hill-climbing (HPHC) algorithm, a novel approach for generating cryptographically strong S-boxes that combines the efficiency of hill climbing with the exploration capabilities of population-based met...

  • Article
  • Open Access
3 Citations
3,566 Views
13 Pages

A substituted donor–acceptor cyclobutenecarboxamide is synthesized with modest enantiocontrol through a chiral copper(I) complex catalyzed [3 + 1]-cycloaddition reaction of α-acyl diphenylsulfur ylides with 3-siloxy-2-diazo-3-butenamides. With a meth...

(This article belongs to the Special Issue Heterocycles in Organic Synthesis: A Theme Issue in Honor of Prof. Dr. Albert Padwa)
  • Article
  • Open Access
3 Citations
2,574 Views
12 Pages

11 October 2023

Background: Patients with dysplastic bone diseases, including fibrous dysplasia (FD), represent a particular challenge for placement of dental implants. This is due to structural bony changes that may compromise the bone blood supply and plasticity,...

(This article belongs to the Special Issue Oral and Maxillofacial Surgery in 2023 and Beyond)
  • Article
  • Open Access
37 Citations
8,739 Views
13 Pages

A Novel Algorithm of Constructing Highly Nonlinear S-p-boxes

  • Yasir Naseer,
  • Tariq Shah,
  • Dawood Shah and
  • Sadam Hussain

The role of substitution boxes is very important in block ciphers. Substitution boxes are utilized to create confusion in the cryptosystem. However, to create both confusion and diffusion in any cryptosystem p-boxes and chaos base substitution boxes...

(This article belongs to the Section Hardware Security)
  • Article
  • Open Access
21 Citations
3,810 Views
23 Pages

A Novel Strong S-Box Design Using Quantum Crossover and Chaotic Boolean Functions for Symmetric Cryptosystems

  • Haitham Alsaif,
  • Ramzi Guesmi,
  • Anwar Kalghoum,
  • Badr M. Alshammari and
  • Tawfik Guesmi

30 March 2023

In this paper, we propose a new method for drawing a cryptographically strong substitution box using the Lorenz system and quantum genetic algorithm techniques. We used the chaotic function to generate an initial random sequence of bits and the quant...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
45 Citations
4,352 Views
16 Pages

28 June 2020

Static substitution-boxes in fixed structured block ciphers may make the system vulnerable to cryptanalysis. However, key-dependent dynamic substitution-boxes (S-boxes) assume to improve the security and robustness of the whole cryptosystem. This pap...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
2,072 Views
11 Pages

9 July 2024

Substitution boxes, or S-boxes, are one of the most important mathematical primitives in modern symmetric cryptographic algorithms. Given their importance, in the past decades, they have been thoroughly analyzed and evaluated by the academic world. T...

(This article belongs to the Special Issue Theory and Application of Algebraic Combinatorics)
  • Article
  • Open Access
1 Citations
2,397 Views
12 Pages

2 January 2023

Permutations with low differential uniformity, high nonlinearity and high algebraic degree over F22k are preferred substitution boxes in modern block ciphers. In this paper, we study the bijectivity and the difference uniformity of piecewise function...

(This article belongs to the Special Issue Symmetry and Asymmetry in Cryptography)
  • Article
  • Open Access
17 Citations
5,876 Views
16 Pages

20 February 2019

Higher plants exploit posttranscriptional gene silencing as a defense mechanism against virus infection by the RNA degradation system. Plant RNA viruses suppress posttranscriptional gene silencing using their encoded proteins. Three important motifs...

(This article belongs to the Special Issue Plant Immunity to Virus Infections)
  • Article
  • Open Access
28 Citations
3,926 Views
18 Pages

Optimizing Hill Climbing Algorithm for S-Boxes Generation

  • Alexandr Kuznetsov,
  • Emanuele Frontoni,
  • Luca Romeo,
  • Nikolay Poluyanenko,
  • Sergey Kandiy,
  • Kateryna Kuznetsova and
  • Eleonóra Beňová

Nonlinear substitutions or S-boxes are important cryptographic primitives of modern symmetric ciphers. They are designed to complicate the plaintext-ciphertext dependency. According to modern ideas, the S-box should be bijective, have high nonlineari...

(This article belongs to the Special Issue Electronization of Businesses - Systems Engineering and Analytics)
  • Article
  • Open Access
2 Citations
3,302 Views
26 Pages

23 January 2022

Encryption is the de facto method for protecting information, whether this information is locally stored or on transit. Although we have many encryption techniques, they have problems inherited from the computational models that they use. For instanc...

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