A Novel S-Box Design Algorithm Based on a New Compound Chaotic System

Lu, Qing; Zhu, Congxu; Wang, Guojun

doi:10.3390/e21101004

Cited by 70 publications

(43 citation statements)

References 46 publications

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“…The proposed S-box was also found to show good SAC behavior, as our SAC value of 0.5007 is quite better than the scores of S-boxes constructed in References [ 23 , 24 , 25 , 26 , 27 , 28 , 30 , 33 , 34 , 41 , 42 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 ], as evident from Table 7 and Figure 2 b. The proposed S-box satisfies the SAC criterion quite diligently as compared to other contemporary S-boxes.…”

Section: Performance Results and Analysesmentioning

confidence: 81%

Evolving Dynamic S-Boxes Using Fractional-Order Hopfield Neural Network Based Scheme

Ahmad

Alsolami

2020

Entropy

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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 paper proposes to present the construction of key-dependent dynamic S-boxes having high nonlinearity. The proposed scheme involves the evolution of initially generated S-box for improved nonlinearity based on the fractional-order time-delayed Hopfield neural network. The cryptographic performance of the evolved S-box is assessed by using standard security parameters, including nonlinearity, strict avalanche criterion, bits independence criterion, differential uniformity, linear approximation probability, etc. The proposed scheme is able to evolve an S-box having mean nonlinearity of 111.25, strict avalanche criteria value of 0.5007, and differential uniformity of 10. The performance assessments demonstrate that the proposed scheme and S-box have excellent features, and are thus capable of offering high nonlinearity in the cryptosystem. The comparison analysis further confirms the improved security features of anticipated scheme and S-box, as compared to many existing chaos-based and other S-boxes.

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Section: Performance Results and Analysesmentioning

confidence: 81%

Evolving Dynamic S-Boxes Using Fractional-Order Hopfield Neural Network Based Scheme

Ahmad

Alsolami

2020

Entropy

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“…where IC 1 and IC 2 are two encrypted images obtained from plain images different in just one pixel, w and h are the dimensions of the images. For an image to be uniformly distributed, the minimum expected values of NPCR and UACI should satisfy (12) and (13) respectively.…”

Section: Information Entropymentioning

confidence: 99%

“…Four views of the 5D Hyperjerk attractor with stable equilibrium point (shown as a red dot) with various projections: (a)12 …”

mentioning

confidence: 99%

A Multidimensional Hyperjerk Oscillator: Dynamics Analysis, Analogue and Embedded Systems Implementation, and Its Application as a Cryptosystem

Tsafack

Dieu

Kengne

et al. 2019

Sensors

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A lightweight image encryption algorithm is presented based on chaos induction via a 5-dimensional hyperjerk oscillator (5DHO) network. First, the dynamics of our 5DHO network is investigated and shown to exhibit up to five coexisting hidden attractors in the state space that depend exclusively on the system's initial values. Further, a simple implementation of the circuit was used to validate its ability to exhibit chaotic dynamical properties. Second, an Arduino UNO platform is used to confirm the usability of our oscillator in embedded system implementation. Finally, an efficient image encryption application is executed using the proposed chaotic networks based on the use of permutation-substitution sequences. The superior qualities of the proposed strategy are traced to the dynamic set of keys used in the substitution process which heralds the generation of the final ciphered image. Based on the average results obtained from the entropy analysis (7.9976), NPCR values (99.62), UACI tests (33.69) and encryption execution time for 512 × 512 images (0.1141 s), the proposed algorithm is adjudged to be fast and robust to differential and statistical attacks relative to similar approaches.

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“…Chaos is a kind of deterministic but unpredictable nonlinear system, which has the characteristics of sensitivity to initial conditions and parameters, pseudorandomness and ergodicity. Therefore, chaos is closely related to cryptography and chaotic systems can be applied in cryptography, such as in the design of pseudo-random number generator (PRNG) [ 2 ] and S-Boxes [ 3 ]. Compared with traditional encryption algorithms, image encryption algorithm based on chaos theory has more advantages in security, complexity and speed [ 4 , 5 , 6 , 7 , 8 , 9 ].…”

Section: Introductionmentioning

confidence: 99%

Secure Image Encryption Algorithm Based on Hyperchaos and Dynamic DNA Coding

Zhu

2020

Entropy

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In this paper, we construct a five dimensional continuous hyperchaotic system and propose an image encryption scheme based on the hyperchaotic system, which adopts DNA dynamic coding mechanism and classical scrambling diffusion encryption structure. In the diffusion stage, two rounds of diffusion are adopted and the rules of DNA encoding (DNA decoding) are dynamically changed according to the pixel value of the plaintext image, that is, the rules of DNA encoding (DNA decoding) used to encrypt different images are different, which makes the algorithm can resist chosen-plaintext attack. The encryption (decryption) key is only the initial value of the chaotic system, which overcomes the difficulty of key management in the “one time pad” encryption system. The experimental results and security analysis show that the algorithm has some advantages of large key space, no obvious statistical characteristics of ciphertext, sensitivity to plaintext and key and able to resist differential attacks and chosen plaintext attack. It has good application prospects.

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A Novel S-Box Design Algorithm Based on a New Compound Chaotic System

Cited by 70 publications

References 46 publications

Evolving Dynamic S-Boxes Using Fractional-Order Hopfield Neural Network Based Scheme

Evolving Dynamic S-Boxes Using Fractional-Order Hopfield Neural Network Based Scheme

A Multidimensional Hyperjerk Oscillator: Dynamics Analysis, Analogue and Embedded Systems Implementation, and Its Application as a Cryptosystem

Secure Image Encryption Algorithm Based on Hyperchaos and Dynamic DNA Coding

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