Construction of an S-Box Based on Chaotic and Bent Functions

Jiang, Zijing; Ding, Qun

doi:10.3390/sym13040671

Cited by 31 publications

(11 citation statements)

References 31 publications

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“…The nonlinearity is shown in [22]. We observe that the proposed matrix 16 * 16 (S-box) nonlinearity rates are 110, 107, 108, 110, 108, 109, 110, and 109.…”

Section: Nonlinearitymentioning

confidence: 87%

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Analysis and description S-box generation for the AES algorithm-a new 3D hyperchaotic system

et al. 2023

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In this paper, a description, and analysis of a novel 3-D dimension hyperchaotic system is implemented. The proposed system oscillation is two-order autonomous and consisted of a nine-term and symmetric oscillation w.r.t x-axis. It is proved analysis by Kaplan-York dimension, waveform analysis, phase portrait, and Lyapunov exponent. This work-study stability and equilibrium point and Routh stability criteria produced that the new system has one unstable point from the type saddle-focus point. One of the characteristics of the proposed system is hyperchaotic since this system has two Lyapunov large than zero. This system is applied to generate a chaotic (S-box) based in advanced encryption standard (AES) algorithm for text encryption and gives a high level of security. In addition to the description, and analysis S-box. Therefore. the proposed algorithm is satisfied the high randomness of entropy value and passes the National Institute of Standards and Technology (NIST) parameters and another test. Mathematica and MATLAB programs simulated some results.

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“…The nonlinearity is shown in [22]. We observe that the proposed matrix 16 * 16 (S-box) nonlinearity rates are 110, 107, 108, 110, 108, 109, 110, and 109.…”

Section: Nonlinearitymentioning

confidence: 87%

“…The SAC which is shown in [22] also tested in this work for a matrix 16 * 16 S-box generation based on a new 3D hyperchaotic system. Table 2 shows the main value of this test.…”

Section: Sacmentioning

confidence: 99%

Analysis and description S-box generation for the AES algorithm-a new 3D hyperchaotic system

et al. 2023

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“…A balanced distribution of 0 and 1 values output sequence is a crucial requirement for the S-box [14], [22]. According to this evaluation, the S-boxes formed by our suggested method are balanced since they include equal values of 0's and 1's.…”

Section: Balanced Criteriamentioning

confidence: 98%

A dynamic S-box generation based on a hybrid method of new chaotic system and DNA computing

2022

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S-box is one of the most significant structures used to construct encryption that is strong and resistant to attacks in encryption algorithms. The new 4D-hyper chaotic system and deoxyribonucleic acid (DNA) computing are used in this paper to provide a new dynamic S-box generating approach. The 4D generated numbers are processed to generate a hexadecimal number that will encode using the DNA coding method and using addition, subtraction, and exclusive-or operations to produce the final DNA string decoded to make the S-Box. The dynamic form of s-boxes is represented by a minor change in the initial conditions of the proposed chaotic method that will generate dynamic sequences of numbers. The proposed method enhances the security criteria of the block ciphers. The S-box testing criteria were done like strict avalanche, balanced, and bit independence criteria, in addition to differential approximation probability and linearity approximation probability, to test the security of the new S-Box. The results show that the new S-box has good security and is resistant to attacks.

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“…The best-performing S-box has some randomness. Jiang Z [13] uses the different properties of chaotic functions and bending functions to generate highly nonlinear random bending functions and creates an S-box with good cryptographic properties by constructing a set of Bent functions as the output of the S-box. Alsaif H et al [14] proposed a new method of optimizing the S-box using the quantum genetic algorithm.…”

Section: Introductionmentioning

confidence: 99%

Design of S-box multi-objective optimization algorithm based on combined chaotic system

Tong,

Cheng,

Wang

et al. 2024

Phys. Scr.

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S-box is the only nonlinear cryptographic component that determines the security of the block cipher. The higher the security of the S-box, the higher the security of the block cipher. Therefore, this paper proposes an S-box multi-objective optimization algorithm based on the combined chaotic system. Firstly, designing an integrated chaotic system based on a fractional index and its dynamic behavior is studied; it shows incredibly high-performance stability and chaotic parameter range coverage in the entire parameter space. A novel chaotic S-box construction algorithm is proposed based on the combined chaotic system. It introduces a linear congruential pseudo-random number generator to extend the sequence period and scramble the chaotic S-box through Henon mapping to improve the nonlinearity of the s-box. Finally, introducing a teaching and learning multi-objective optimization model and the performance evaluation criteria of the S-box are incorporated into the design of the objective function; this design enables the resulting S-box to perform well under multiple performance indicators, and then the approximate optimal S-box in the population is obtained. Through the performance test of the approximate optimal S-box, the comparative analysis shows that the S-box has good cryptographic performance, can resist linear analysis and differential analysis, and has a good application prospect in lightweight cipher.

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Construction of an S-Box Based on Chaotic and Bent Functions

Cited by 31 publications

References 31 publications

Analysis and description S-box generation for the AES algorithm-a new 3D hyperchaotic system

Analysis and description S-box generation for the AES algorithm-a new 3D hyperchaotic system

A dynamic S-box generation based on a hybrid method of new chaotic system and DNA computing

Design of S-box multi-objective optimization algorithm based on combined chaotic system

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