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S-Box Design Based on 2D Multiple Collapse Chaotic Map and Their Application in Image Encryption.

Chao Yang1, Xia Wei1, Cong Wang1

  • 1School of Electrical Engineering, Xinjiang University, Urumqi 830046, China.

Entropy (Basel, Switzerland)
|October 23, 2021
PubMed
Summary

A new 2D multiple collapse chaotic map (2D-MCCM) offers enhanced security and speed for encryption systems. This novel chaotic map and its S-box design improve image encryption against various attacks.

Keywords:
2D chaotic mapchaotic S-boxdiffusionimage encryption

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Area of Science:

  • Cryptography and Information Security
  • Applied Mathematics and Computational Science

Background:

  • Existing chaotic maps have limitations: low-dimension maps are vulnerable, and high-dimension maps are slow.
  • Secure and efficient encryption is crucial for modern digital systems.

Purpose of the Study:

  • To design a novel 2D multiple collapse chaotic map (2D-MCCM) addressing limitations of existing chaotic maps.
  • To develop a new image encryption algorithm utilizing the 2D-MCCM for improved security and efficiency.

Main Methods:

  • Design of a 2D multiple collapse chaotic map (2D-MCCM) with wide chaos interval, high complexity, and high iteration speed.
  • Construction of a chaotic S-box based on the 2D-MCCM.
  • Development of a diffusion method leveraging the S-box for enhanced security and efficiency.
  • Proposal and performance analysis of a new image encryption algorithm.

Main Results:

  • The proposed 2D-MCCM exhibits a wide chaos interval, high complexity, and high iteration speed.
  • The S-box and diffusion method based on 2D-MCCM significantly improve security and efficiency.
  • The resulting image encryption algorithm demonstrates high security, effectively resisting various attacks.

Conclusions:

  • The 2D-MCCM provides a superior alternative to existing chaotic maps for encryption applications.
  • The developed image encryption algorithm offers robust security and high performance.
  • This research contributes to the advancement of secure and efficient cryptographic systems.