A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps

Yan, Wenhao; Ding, Qun

doi:10.3390/electronics10111313

Cited by 31 publications

(26 citation statements)

References 38 publications

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“…Every S-box designer strives for a SAC score as near to 0.50 as possible. As can be seen in Table 12, our SAC score (0.4983) is closer to 0.50 than that of the vast majority of constructed Sboxes [5,6,37,38,40,41,42,43]. Consequently, the suggested S-box meets the SAC requirement.…”

Section: Differential Uniformitymentioning

confidence: 69%

“…To withstand linear assaults, the S-box must have a large NL value. The generated S-box has a higher average NL value than the S-boxes constructed in [36,37,38,41,42,43], as shown in Table 12. Therefore, the proposed S-box has a significant level of complexity and confusion, rendering it resistant to all available linear cryptanalysis techniques.…”

Section: Differential Uniformitymentioning

confidence: 93%

“…In an identical way, we find all remaining cycles of the permutations 𝑥 and 𝑦 and given as: 𝑥 = (𝜉 1 , 𝜉 126 )(𝜉 2 , 𝜉 125 )(𝜉 3 , 𝜉 124 )(𝜉 4 , 𝜉 123 )(𝜉 5 , 𝜉 122 )(𝜉 6 , 𝜉 121 )(𝜉 7 , 𝜉 120 )(𝜉 8 , 𝜉 119 )(𝜉 9 , 𝜉 118 ) (𝜉 , 𝜉 117 )(𝜉 11 , 𝜉 116 )(𝜉 12 , 𝜉 115 )(𝜉 13 , 𝜉 114 )(𝜉 14 , 𝜉 113 )(𝜉 15 , 𝜉 112 )(𝜉 16 , 𝜉 111 )(𝜉 17 , 𝜉 110 )(𝜉 18 , 𝜉 109 ) (𝜉 , 𝜉 108 )(𝜉 20 , 𝜉 107 )(𝜉 21 , 𝜉 106 )(𝜉 22 , 𝜉 105 )(𝜉 23 , 𝜉 104 )(𝜉 24 , 𝜉 103 )(𝜉 25 , 𝜉 102 )(𝜉 26 , 𝜉 101 )(𝜉 27 , 𝜉 100 ) (𝜉 28 , 𝜉 99 )(𝜉 29 , 𝜉 98 )(𝜉 30 , 𝜉 97 )(𝜉 31 , 𝜉 96 )(𝜉 32 , 𝜉 95 )(𝜉 33 , 𝜉 94 )( 𝜉 34 , 𝜉 93 )( 𝜉 35 𝜉 92 )(𝜉 36 , 𝜉 91 )(𝜉 37 , 𝜉 90 ) (𝜉 38 , 𝜉 89 )(𝜉 39 , 𝜉 88 )(𝜉 40 , 𝜉 87 )(𝜉 41 , 𝜉 86 )(𝜉 42 , 𝜉 85 )(𝜉 43 , 𝜉 84 )(𝜉 44 64 ). 𝑦 = (0 , ∞, 1)(𝜉 1 , 𝜉 96 , 𝜉 30 ) (𝜉 2 , 𝜉 65 , 𝜉 60 )(𝜉 3 , 𝜉 120 , 𝜉 4 )(𝜉 5 , 𝜉 45 , 𝜉 77 )(𝜉 6 , 𝜉 113 , 𝜉 8 )(𝜉 7 , 𝜉 124 , 𝜉 123 ) (𝜉 , 𝜉 83 , 𝜉 35 )(𝜉 10 , 𝜉 90 , 𝜉 27 )(𝜉 11 , 𝜉 93 , 𝜉 <...…”

Section: Coset Graphs Ofmentioning

confidence: 99%

See 2 more Smart Citations

Enhancing the Robustness of Block Ciphers through a Graphical S-Box Evolution Scheme for Secure Multimedia Applications

Razaq

Ahsan

Alolaiyan

et al. 2023

Preprint

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Block ciphers, which serve as primary components of network security systems, play a crucial role in securely exchanging and communicating confidential information. Substitution boxes (S-boxes) are the most significant components of contemporary block ciphers. Inherently, the security strength of such cryptosystems relies on the quality of the S-box employed. The cryptographically strong S-boxes provide robustness and assurance of the security competency to block ciphers. To generate the strong S-boxes, a number of chaos-based methods have been investigated in the past decade. However, chaos-based methods are random approaches which are computationally intensive and don’t guarantee the generation of strong S-boxes. To meet the challenges of strong and fast S-box generation, a novel coset graphs based algebraic method is proposed to evolve robust and efficient S-box. Firstly, an initial S-box of decent cryptographic strength is generated by using the vertices of coset graphs for two Galois fields and a bijective function. After that, the initial S-box's robustness is improved by rearranging its columns in a particular manner, which yields the strong proposed S-box. The effectiveness of the proposed method is validated by comparing various attributes of our S-box against some recently investigated S-boxes. Additionally, the generated S-box is applied for image encryption and analyzed using the MLC criterions. The results show the suitability of the proposed S-box for secure multimedia applications.

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Section: Differential Uniformitymentioning

confidence: 69%

Section: Differential Uniformitymentioning

confidence: 93%

Section: Coset Graphs Ofmentioning

confidence: 99%

See 1 more Smart Citation

Enhancing the Robustness of Block Ciphers through a Graphical S-Box Evolution Scheme for Secure Multimedia Applications

Razaq

Ahsan

Alolaiyan

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…S-box is usually the only nonlinear part of block cipher algorithm. Recently, there are more and more research on S-box [27][28][29][30][31][32][33][34]. At the same time, researchers found that the combination of chaotic system and S-box in image encryption can enhance the security of the algorithm [35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box

et al. 2023

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Chaotic systems are widely used in image encryption due to their sensitivity to initial values. and many image encryption algorithms based on chaotic systems have been studied in the past few years. In order to obtain a simpler encryption algorithm, this work firstly proposes a new two-dimensional discrete hyperchaotic map, which has a large chaotic interval and Lyapunov exponent, and then uses the map to generate two chaotic sequences, and use these sequences to generate three S-boxes, and combine them in pairs, and finally twelve S-boxes are obtained. Then, the elements of the plaintext image are grouped, each group of pixels is summed, and then modular operations are used to specify specific S-boxes. Next, each set of elements is bitwise XOR with the corresponding S-box. Finally, the cipher image is obtained by scrambling using chaotic signal.Experiments show that compared with some other encryption algorithms, the proposed S-box based encryption method has higher security, and it resists to common attack.

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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.…”

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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A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps

Cited by 31 publications

References 38 publications

Enhancing the Robustness of Block Ciphers through a Graphical S-Box Evolution Scheme for Secure Multimedia Applications

Enhancing the Robustness of Block Ciphers through a Graphical S-Box Evolution Scheme for Secure Multimedia Applications

Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box

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

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