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Generation of Highly Nonlinear and Dynamic AES Substitution-Boxes (S-Boxes) Using Chaos-Based Rotational Matrices

Muhammad Sarmad Mahmood MalikDepartment of Computer Engineering, University of Engineering and Technology (UET), Taxila, PakistanMuhammad Asim AliDepartment of Computer Science, University of Wah, Wah Cantt, PakistanMuhammad Asif KhanDepartment of Computer Engineering, University of Engineering and Technology (UET), Taxila, PakistanMuhammad Ehatisham-ul-HaqDepartment of Computer Engineering, University of Engineering and Technology (UET), Taxila, PakistanSyed Nasir Mehmood ShahDepartment of Computer Science KICSIT, Institute of Space Technology, Islamabad, PakistanMobashar RehmanDepartment of Information Systems, Faculty of Information and Communication Technology, Universiti Tunku Abdul Rahman, Kampar, MalaysiaWaqar AhmadDepartment of Computer Engineering, University of Engineering and Technology (UET), Taxila, Pakistan
2020en
ABI

Annotatsiya

This work reports a novel chaos-based affine transformation generation method, which is based on rotational matrices to design strong key-based S-boxes. Chaotic logistic map’s nonlinear trajectories are used to generate rotational matrices under given design conditions. Thus, the inherent logic is to generate key-based S-boxes, as strong as AES S-box, in terms of cryptographic properties using chaos in affine transformation. The randomness of chaotic sequences is tested using the National Institute of Standard and Technology (NIST) Statistical Test Suit (STS) 800–22 that validates the generated sequences for S-box design. The results show that methodology adapted to design proposed key-based dynamic S-boxes entails near-optimal cryptographic properties so that proposed S-boxes are as stronger as AES S-box.

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