S-boxes Construction Based on Quantum Chaos and PWLCM Chaotic Mapping

Abstract

For a security system built on symmetric-key cryptography algorithms, the substitution box (S-box) plays a crucial role to resist cryptanalysis (decoding). In this paper, we incorporate quantum chaos and PWLCM chaotic mapping into a new method of S-box design. Over the obtained 500 key-dependent S-boxes, we test the S-box cryptographical properties on bijection, nonlinearity, SAC, BIC, differential approximation probability, and sensitivity to the key, respectively. The results show that the cryptographic characteristics of proposed S-Box has met our design objectives and can be applied to data encryption, user authentication and system access control.