Execution examination of chaotic S-box dependent on improved PSO algorithm

Hematpour, Nafiseh; Ahadpour, Sodeif

doi:10.1007/s00521-020-05304-9

Cited by 53 publications

(24 citation statements)

References 60 publications

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“…erefore, before using any S-box in a cryptosystem, it is important to measure its security strength and robustness. A secure S-box should take care of the performance criteria well; for example, it should have balanced component Boolean functions, nonlinearity of components functions which must be high, satisfaction of SAC and BIC criteria, low differential uniformity, and linear approximation probability to resist linear cryptanalysis and differential cryptanalysis [20,21]. In what follows, we discussed and assessed these performance parameters for our S-box and analyzed its security strength.…”

Section: S-box Performance Resultsmentioning

confidence: 99%

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Improved 2D Discrete Hyperchaos Mapping with Complex Behaviour and Algebraic Structure for Strong S-Boxes Generation

Ahmad

Alsolami

2020

Complexity

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This paper proposes to present a novel method of generating cryptographic dynamic substitution-boxes, which makes use of the combined effect of discrete hyperchaos mapping and algebraic group theory. Firstly, an improved 2D hyperchaotic map is proposed, which consists of better dynamical behaviour in terms of large Lyapunov exponents, excellent bifurcation, phase attractor, high entropy, and unpredictability. Secondly, a hyperchaotic key-dependent substitution-box generation process is designed, which is based on the bijectivity-preserving effect of multiplication with permutation matrix to obtain satisfactory configuration of substitution-box matrix over the enormously large problem space of 256!. Lastly, the security strength of obtained S-box is further elevated through the action of proposed algebraic group structure. The standard set of performance parameters such as nonlinearity, strict avalanche criterion, bits independent criterion, differential uniformity, and linear approximation probability is quantified to assess the security and robustness of proposed S-box. The simulation and comparison results demonstrate the effectiveness of proposed method for the construction of cryptographically sound S-boxes.

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Section: S-box Performance Resultsmentioning

confidence: 99%

“…e obtained S-box met all the performance criteria well and was deemed suitable for encryption applications. Hematpour and Ahadpour investigated strong chaotic nonlinear map for performance improvisation of particle swarm optimization, which was then executed to optimize the S-box for high nonlinear property in [20].…”

Section: Introductionmentioning

confidence: 99%

Improved 2D Discrete Hyperchaos Mapping with Complex Behaviour and Algebraic Structure for Strong S-Boxes Generation

Ahmad

Alsolami

2020

Complexity

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“…In order to assess the proposed Pareto-optimized S-boxes, the security performance has been compared with other competing and existing S-boxes studies which are based meta-heuristics. Literature reveals that a number of metaheuristics have been investigated to obtain the optimized 8×8 S-boxes which includes the incorporation of Tiki-Taka algorithm (TTO) [48], Bacteria foraging optimization (BFO) [49], Fireworks Algorithm [50], Jaya optimization [51], Cuckoo search (CS) [52], Human behaviour based optimization (HBBO) [53], Genetic algorithms (GA) [20], Sine-cosine optimization (SCO) [54], Firefly algorithm [24], Teaching-learning based optimization (TLBO) [25], I-Chings optimization (ICO) [26], Ant colony optimization (ACO) [22], Artificial bee colony optimization (ABC) [23], and Particle swarm optimization (PSO) [55]. The Paretooptimal S-boxes from the first front from proposed method are compared.…”

Section: Perfromance Comparison With Other Optimization Based S-boxesmentioning

confidence: 99%

Multi-Objective Evolution of Strong S-Boxes Using Non-Dominated Sorting Genetic Algorithm-II and Chaos for Secure Telemedicine

et al. 2022

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There exist several performance criteria for cryptographically strong substitution boxes which are often conflicting with each other. Constructing S-boxes that satisfy multiple criteria with optimal tradeoffs is one of the challenging tasks for cryptographers. In practice, the existing S-box designing algorithms are used to optimize only a single performance criterion, mainly the nonlinearity, which usually resulted in weak scores of other equally significant criteria. To overcome this problem, a multi-objective optimization based method is presented in this paper which constructs 8×8 S-boxes satisfying multiple criteria of balancedness, high nonlinearity, low differential uniformity, and low auto-correlation. The fulfillment of multiple objectives is done by applying the chaos-assisted non-dominated sorting genetic algorithm-II to evolve S-boxes. The performance assessment of a proposed method and comparative analysis with available optimization based and other state-of-the art algorithms demonstrate its proficiency to generate significantly better S-box solutions with good Pareto-optimal security features. Eventually, the S-boxes with minimum NL of 110, DU as low as 8, and ACF as low as 80, are obtained after the optimization. Furthermore, the obtained Pareto-optimal S-box is utilized to put forward a medical image encryption algorithm for secure telemedicine services. The suggested encryption algorithm makes use of Sbox for performing the required permutation and diffusion of images. The encryption performance assessment and comparison analyses validate its effectiveness for securing medical imagery data in telemedicine networks.

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“…In order to better demonstrate the performance of the proposed S-box, the S-box generated by several recently proposed representative algorithms was analyzed [21][22][23][24][25][26], and the results are shown in Table 6. It can be seen that the proposed S-box was distinguished in all aspect.…”

Section: Performance Comparisonmentioning

confidence: 99%

“…For example, encryption using DNA computing requires definitions of DNA addition and subtraction, which make the implementation far more difficult and, thus, make the speed of encryption slower. However, the substitution box (S-box), as a square matrix, becomes a key part of the block cipher, achieving a non-linear transformation of the input, and it is widely used because of high speed and security [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

S-Box Design Based on 2D Multiple Collapse Chaotic Map and Their Application in Image Encryption

Chao

Wei

2021

Entropy

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As an essential part of an encryption system, the performance of a chaotic map is critical for system security. However, there are many defects for the existing chaotic maps. The low-dimension (LD) ones are easily predicted and are vulnerable to be attacked, while high-dimension (HD) ones have a low iteration speed. In this paper, a 2D multiple collapse chaotic map (2D-MCCM) was designed, which had a wide chaos interval, a high complexity, and a high iteration speed. Then, a new chaotic S-box was constructed based on 2D-MCCM, and a diffusion method was designed based on the S-box, which improved security and efficiency. Based on these, a new image encryption algorithm was proposed. Performance analysis showed that the encryption algorithm had high security to resist all kinds of attacks easily.

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Execution examination of chaotic S-box dependent on improved PSO algorithm

Cited by 53 publications

References 60 publications

Improved 2D Discrete Hyperchaos Mapping with Complex Behaviour and Algebraic Structure for Strong S-Boxes Generation

Improved 2D Discrete Hyperchaos Mapping with Complex Behaviour and Algebraic Structure for Strong S-Boxes Generation

Multi-Objective Evolution of Strong S-Boxes Using Non-Dominated Sorting Genetic Algorithm-II and Chaos for Secure Telemedicine

S-Box Design Based on 2D Multiple Collapse Chaotic Map and Their Application in Image Encryption

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