Designing chaos based strong substitution box

Ahmad, Musheer; Ahmad, Faiyaz; Nasim, Zeba; Bano, Zohra; Zafar, Sana

doi:10.1109/ic3.2015.7346660

Cited by 17 publications

(19 citation statements)

References 13 publications

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“…These chaos topographies make chaotic systems as a choice for the development of modern ciphers and many researchers have used chaos in the design of S-boxes. Authors [29][30][31][32][33][34][35][36][37][38][39] suggested S-boxes based on chaotic map and analyzed these along with the other existing S-box design methods. Analyses disclosed that the proposed S-boxes are strong against different attacks and hence suggest their usage in modern block ciphers.…”

Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

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In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective function. The use of cubic polynomial maintains the simplicity of S-box construction method and found consistent when compared with other existing S-box techniques used to construct S-boxes. An example proposed S-box is obtained which is analytically evaluated using standard performance criteria including nonlinearity, bijection, bit independence, strict avalanche effect, linear approximation probability, and differential uniformity. The performance results are equated with some recently scrutinized S-boxes to ascertain its cryptographic forte. The critical analyses endorse that the proposed S-box construction technique is considerably innovative and effective to generate cryptographic strong substitution-boxes.

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Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

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“…In recent years, many researchers have used chaotic maps when designing nonlinear dynamic systems. In this study, the PWLCM is used due to its simplicity in representation and sufficient dynamic nonlinear behavior with a positive lyapunov exponent . A PWLCM with four intervals is selected in this study for S‐box generation, which is represented in (1).…”

Section: Proposed Methods For Rng Design Using Pwlcmmentioning

confidence: 99%

“…A number of methods have been proposed to generate chaotic S‐boxes using chaotic trajectories of 1D and higher dimensional maps . Moreover, S‐boxes designed with a chaotic map can also be optimized using different optimization techniques to obtain highly nonlinear trajectories . A list of recently proposed S‐boxes with the design techniques used to generate these S‐boxes and their nonlinearity and differential approximation probability cryptographic properties is presented in Table .…”

Section: Introductionmentioning

confidence: 99%

Highly dispersive substitution box (S‐box) design using chaos

et al. 2020

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Highly dispersive S‐boxes are desirable in cryptosystems as nonlinear confusion sub‐layers for resisting modern attacks. For a near optimal cryptosystem resistant to modern cryptanalysis, a highly nonlinear and low differential probability (DP) value is required. We propose a method based on a piecewise linear chaotic map (PWLCM) with optimization conditions. Thus, the linear propagation of information in a cryptosystem appearing as a high DP during differential cryptanalysis of an S‐box is minimized. While mapping from the chaotic trajectory to integer domain, a randomness test is performed that justifies the nonlinear behavior of the highly dispersive and nonlinear chaotic S‐box. The proposed scheme is vetted using well‐established cryptographic performance criteria. The proposed S‐box meets the cryptographic performance criteria and further minimizes the differential propagation justified by the low DP value. The suitability of the proposed S‐box is also tested using an image encryption algorithm. Results show that the proposed S‐box as a confusion component entails a high level of security and improves resistance against all known attacks.

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“…Akram S-box 8 12 Hamdi S-box 13 12 Musheer S-box 14 10 Wang S-box 12 10 Ozkaynak S-box 15 10 DAP: differential approximation probability. Figure 4.…”

Section: Methods Dapmentioning

confidence: 99%

An efficient construction of key-dependent substitution box based on chaotic sine map

Usama

Rehman

Memon

et al. 2019

International Journal of Distributed Sensor Networks

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A substitution box is a core component of the popular symmetric-key algorithms. However, the major problem of the conventional substitution boxes is the statistic behavior, which is employed as a fixed-size lookup table. To solve the fixed-size lookup table problem, various substitution box construction methods were proposed with key control, but it is hard to enhance all cryptographic properties, for example, linear and differential probabilities. Thus, chaos is applied for key control in designing robust substitution boxes due to unpredictable and random-like behavior. Moreover, the confusion and diffusion properties of cryptography can be achieved by chaos. This article introduces an efficient construction of a key-dependent substitution box based on the mixing property of the chaotic sine map. The substitution box so constructed has very low differential and linear approximation probabilities. The experimental results confirmed that the proposed method to construct substitution box has acceptable cryptographic properties to resist against various cryptanalysis.

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Designing chaos based strong substitution box

Cited by 17 publications

References 13 publications

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Highly dispersive substitution box (S‐box) design using chaos

An efficient construction of key-dependent substitution box based on chaotic sine map

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