Eur. Phys. J. Spec. Top. (2022) 231: 3265-3273
https://doi.org/10.1140/epjs/s11734-022-00561-2

Regular Article

Design an irreversible key expansion algorithm based on 4D memristor chaotic system

School of Mathematical Sciences, University of Jinan, 250022, Jinan, Shandong, China

^c sms_liuhj@ujn.edu.cn

Received: 18 January 2022
Accepted: 3 April 2022
Published online: 20 April 2022

Abstract

The cryptanalysis results of AES show that its key expansion algorithm exists some weaknesses, such as the most round-constant are linear, and any round key can be derived from its previous or next round key, i.e., key expansion algorithm is reversible transformation. To solve these problems, we designed an irreversible key expansion algorithm based on a chaotic system. First, we introduced a 4D memristor chaotic system, and then analyzed its dynamic characteristics, such as bifurcation diagram, phase diagram, Lyapunov exponent, correlation dimension, and Kolmogorov entropy. Simulation results verified that the system exhibited complex dynamical behaviors. Further, we applied the system to design an irreversible key expansion algorithm. Experimental results verified the effectiveness of the proposed irreversible key expansion algorithm.