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

Faheem, Zaid Bin,Ali, Asim,Khan, Muhamad Asif,Ul-Haq, Muhammad Ehatisham,Ahmad, Waqar Electronics and Telecommunications Research Instit 2020 ETRI Journal Vol.42 No.4
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  ScienceON
  
  KCI
Highly dispersive S-boxes are desirable in cryptosystems as nonlinear confusion sublayers 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.
2
Image Watermarking Scheme Using LSB and Image Gradient

Zaid Bin Faheem,Sana Hameed,Misbah Naveed,Naveed Imran,Zubair Shoukat,Mubashir Ali 한국차세대컴퓨팅학회 2021 한국차세대컴퓨팅학회 학술대회 Vol.2021 No.11
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Watermarking techniques are mandatory to secure digital communication. For optimal technique, a high signal to noise ratio and normalized correctional is required. In this paper, a method that belongs to digital watermarking is proposed based on chaotic map through image gradient and least significant bit. The image is segmented into un-correlated blocks and calculate the gradient of each block. The gradient of the image expresses the rapid changes in an image. When watermark used chaotic substitution box (S-Box), it scrambled based on piecewise linear chaotic map (PWLCM). PWLCM has positive Lyapunov exponent and better balance property as compare to other chaotic map. This suggested s-box technique is capable to produce dispersive sequence with high nonlinearity in the generated sequence. By modifying the least significant bits of the original image the watermark signal is embedded based on the image gradient. Image block gradient ,direction and magnitude decide how much embeding can be done. The embedding payload compromises between robustness and imperceptibility. By the reverse operation, a watermarked image is obtained. In comparison with other methods, experimental results show satisfactory progress in robustness against several image processing and geometrical attacks while maintaining the imperceptibility of the watermark signal.