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Routh-Hurwitz Criterion II01:19

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Security Analysis of the Image Encryption Algorithm Based on a Two-Dimensional Infinite Collapse Map.

Guanwen Shi1, Simin Yu1, Qianxue Wang1

  • 1College of Automation, Guangdong University of Technology, Guangzhou 510006, China.

Entropy (Basel, Switzerland)
|July 27, 2022
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Summary
This summary is machine-generated.

This study reveals security vulnerabilities in a 2D infinite collapse map image encryption algorithm. Cryptanalysis demonstrates that the permutation-diffusion structure can be simplified, leading to effective attacks on multi-round versions.

Keywords:
2D infinite collapse mapchaotic image encryptioncryptanalysisequivalent key

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Area of Science:

  • Cryptography
  • Image Processing
  • Applied Mathematics

Background:

  • Image encryption algorithms are crucial for secure data transmission.
  • The two-dimensional (2D) infinite collapse map is a complex system used in some encryption methods.
  • Permutation-diffusion structures are common in modern cryptosystems for enhanced security.

Purpose of the Study:

  • To analyze the security weaknesses of an image encryption algorithm utilizing a 2D infinite collapse map.
  • To investigate the effectiveness of cryptanalysis on single-round, two-round, and multi-round encryption processes.
  • To propose improvements for the analyzed encryption algorithm.

Main Methods:

  • Cryptanalysis of the permutation-diffusion structure.
  • Mathematical deduction and simplification of encryption/decryption equations.
  • Analysis of equivalent keys due to plaintext/ciphertext-independent chaotic sequences.
  • Numerical simulations using MATLAB for validation.

Main Results:

  • The diffusion process can be merged with the initial permutation, simplifying the structure.
  • Equivalent keys were identified, compromising the algorithm's security.
  • The algorithm, even with multiple rounds, was successfully cracked.
  • Data complexity of the cryptanalysis attacks was evaluated.

Conclusions:

  • The analyzed 2D infinite collapse map image encryption algorithm possesses significant security flaws.
  • The identified vulnerabilities allow for effective cryptanalysis, even in multi-round configurations.
  • The study provides a foundation for developing more robust image encryption techniques.