Generation of Highly Nonlinear and Dynamic AES Substitution-Boxes (S-Boxes) Using Chaos-Based Rotational Matrices

Malik, Muhammad Sarmad Mahmood; Ali, Muhammad Asım; Khan, Muhammad Asif; Ehatisham-ul-Haq, Muhammad; Shah, Syed Nasir; Rehman, Mobashar; Ahmad, Waqar

doi:10.1109/access.2020.2973679

Cited by 55 publications

(18 citation statements)

References 57 publications

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“…This is because an S-box is a consistent element that is nearly always at the core of image encryption algorithms and is tasked with applying Shannon's property of confusion. In order to evaluate the ability of an S-box to cause confusion, 5 metrics are commonly computed [46]. These are the non-linearity (NL), linear approximation probability (LAP), differential approximation probability (DAP), bit independence criterion (BIC) and strict avalanche criterion (SAC).…”

Section: S-box Performance Analysismentioning

confidence: 99%

Hyperchaotic Maps and the Single Neuron Model: A Novel Framework for Chaos-Based Image Encryption

Alexan¹,

Chen²,

Por³

et al. 2023

Preprint

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With the explosion of the generation, transmission and sharing of image data over the Internet and other unsecured networks, the need and significance for the development of novel image encryption algorithms is unprecedented. In this research work, we propose a novel framework for image encryption that is based on two hyperchaotic maps, utilized in conjunction with the single neuron model (SNM). The framework entails three successive stages, where in every stage, a substitution box (S-box) is applied, then XORing with an encryption key is carried out. The S-boxes and the encryption keys are generated from the numerical solutions of the hyperchaotic maps and the SNM. The performance of the proposed framework is gauged through a number of metrics, reflecting superior performance and complete asymmetry between the plain images and their encrypted versions. However, the main advantages of this work are: (1) The attained width of the key space; and (2) The achieved efficiency in software implementation. The superior key space of 2^{2551} is the result of employing the two hyperchaotic maps, while the improved efficiency, resulting in an average encryption rate of 8.54 Mbps, is the result of the utilization of the single neuron model, as well as the employment of optimized parallel processing techniques. In addition, the proposed encryption framework is shown to output encrypted images that pass the NIST SP 800 suite.

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Section: S-box Performance Analysismentioning

confidence: 99%

Hyperchaotic Maps and the Single Neuron Model: A Novel Framework for Chaos-Based Image Encryption

Alexan¹,

Chen²,

Por³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Because Ref. [40][41][42][43][44][45] is based on mathematical transformations. It can be observed that these designs are closed to ideal values for both the nonlinearity criterion and the XOR value.…”

Section: A Practical Application Of Generated Random Bit Sequencesmentioning

confidence: 99%

“…In the approaches suggested in Ref. [43][44][45], the design criteria have been reached. It has also been shown in different studies that a similar approach can be achieved by optimizing the results [46,47].…”

Section: A Practical Application Of Generated Random Bit Sequencesmentioning

confidence: 99%

A Method to Determine the Most Suitable Initial Conditions of Chaotic Map in Statistical Randomness Applications

Açikkapi

Özkaynak

2021

IEEE Access

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“…Recently, chaos theory has been a major focus and gained the attention of many S-Box designers to create this nonlinear component of modern block ciphers [21,22]. In order to build robust S-Boxes, authors in [23] developed a novel technique based on Logistic chaotic map that employed the idea of matrix rotation and affine transformation to generate key-dependent S-Boxes. Four steps that make up the suggested process for S-Box construction include the calculation of the Galois Field inverse, creating keys using Logistic map, computing the rotational matrix, and ultimately creating a new S-Box.…”

Section: Introductionmentioning

confidence: 99%

Dynamic S-Box Generation Using Novel Chaotic Map with Nonlinearity Tweaking

Zahid¹,

Arshad²,

Ahmad³

et al. 2023

Computers, Materials &Amp; Continua

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A substitution box (S-Box) is a crucial component of contemporary cryptosystems that provide data protection in block ciphers. At the moment, chaotic maps are being created and extensively used to generate these S-Boxes as a chaotic map assists in providing disorder and resistance to combat cryptanalytical attempts. In this paper, the construction of a dynamic S-Box using a cipher key is proposed using a novel chaotic map and an innovative tweaking approach. The projected chaotic map and the proposed tweak approach are presented for the first time and the use of parameters in their working makes both of these dynamic in nature. The tweak approach employs cubic polynomials while permuting the values of an initial S-Box to enhance its cryptographic fort. Values of the parameters are provided using the cipher key and a small variation in values of these parameters results in a completely different unique S-Box. Comparative analysis and exploration confirmed that the projected chaotic map exhibits a significant amount of chaotic complexity. The security assessment in terms of bijectivity, nonlinearity, bits independence, strict avalanche, linear approximation probability, and differential probability criteria are utilized to critically investigate the effectiveness of the proposed S-Box against several assaults. The proposed S-Box's cryptographic performance is comparable to those of recently projected S-Boxes for its adaption in real-world security applications. The comparative scrutiny pacifies the genuine potential of the proposed S-Box in terms of its applicability for data security.

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Generation of Highly Nonlinear and Dynamic AES Substitution-Boxes (S-Boxes) Using Chaos-Based Rotational Matrices

Cited by 55 publications

References 57 publications

Hyperchaotic Maps and the Single Neuron Model: A Novel Framework for Chaos-Based Image Encryption

Hyperchaotic Maps and the Single Neuron Model: A Novel Framework for Chaos-Based Image Encryption

A Method to Determine the Most Suitable Initial Conditions of Chaotic Map in Statistical Randomness Applications

Dynamic S-Box Generation Using Novel Chaotic Map with Nonlinearity Tweaking

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