Mathematics (Feb 2022)

Secure Data Transmission and Image Encryption Based on a Digital-Redesign Sliding Mode Chaos Synchronization

  • Jiunn-Shiou Fang,
  • Jason Sheng-Hong Tsai,
  • Jun-Juh Yan,
  • Li-Huseh Chiang,
  • Shu-Mei Guo

DOI
https://doi.org/10.3390/math10030518
Journal volume & issue
Vol. 10, no. 3
p. 518

Abstract

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In this paper, a novel image encryption algorithm based on chaotic synchronization is proposed. First, a digital-redesign sliding mode controller (SMC) is developed to guarantee the chaos synchronization. The digital redesign method makes it possible to transform a proposed continuous-time SMC to discrete-time SMC whilst maintaining the performance of the robust synchronization. Then, the secret keys are embedded in the state equations of the master chaotic system, such that the secret keys do not appear in the public channel, and utilize the chaotic synchronization to achieve secure communication for transmitting the secret keys from transmitter to receiver. Second, an image encryption algorithm integrating the S-box with chaotic synchronization is established, where the S-box is created by the secret key transmitted from the transmitter. Finally, a detailed analysis of the image encryption algorithm based on chaos synchronization is included to verify the feasibility and effectiveness of this proposed approach.

Keywords