S-Box Construction Method Based on the Combination of Quantum Chaos and PWLCM Chaotic Map

Jun Peng,Du Zhang,Zuojin Li,Shaoning Pang,Yingxu Wang,Shangzhu Jin,Lixiao Feng

doi:10.4018/ijcini.20211001.oa24

Abstract

For a security system built on symmetric-key cryptography algorithms, the substitution box (S-box) plays a crucial role to resist cryptanalysis. In this article, we incorporate quantum chaos and PWLCM chaotic map into a new method of S-box design. The secret key is transformed to generate a six tuple system parameter, which is involved in the generation process of chaotic sequences of two chaotic systems. The output of one chaotic system will disturb the parameters of another chaotic system in order to improve the complexity of encryption sequence. S-box is obtained by XOR operation of the output of two chaotic systems. Over the obtained 500 key-dependent S-boxes, we test the S-box cryptographical properties on bijection, nonlinearity, SAC, BIC, differential approximation probability, respectively. Performance comparison of proposed S-box with those chaos-based one in the literature has been made. 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.

Highlights

In the context of world digitalization, massive data are being generated every day from mobile computing and IoT devices
For a security system built on symmetric-key cryptography algorithms, the substitution box (S-box) plays a crucial role to resist cryptanalysis
The results show that the cryptographic characteristics of proposed S-box has met the design objectives and can be applied to data encryption, user authentication and system access control

Summary

Introduction

In the context of world digitalization, massive data are being generated every day from mobile computing and IoT devices. This article incorporates quantum chaos and PWLCM chaotic map into a new method of S-box design. Over the obtained 500 key-dependent S-boxes, the authors test the S-box cryptographical properties on bijection, nonlinearity, SAC, BIC, differential approximation probability, respectively.

Results

Conclusion