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A Hybrid Cryptosystem Incorporating a New Algorithm for Improved Entropy.

Víctor Manuel Silva-García1, Rolando Flores-Carapia1, Manuel Alejandro Cardona-López2

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Summary
This summary is machine-generated.

This study introduces a hybrid cryptosystem for secure image encryption using asymmetric and symmetric methods. The novel approach enhances image entropy and demonstrates strong resistance to various cryptanalytic attacks.

Keywords:
Diffie–Hellman protocolElGamal systemPi numberblockchaindynamic S-boxdynamic permutationentropy

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Area of Science:

  • Computer Science
  • Cryptography
  • Image Processing

Background:

  • Effective encryption is vital for protecting sensitive digital content.
  • Existing cryptosystems face challenges in achieving high entropy and robust security against sophisticated attacks.
  • Image encryption requires methods that balance security, efficiency, and resistance to noise.

Purpose of the Study:

  • To develop and evaluate a novel hybrid cryptosystem for image encryption.
  • To enhance the entropy of encrypted images, approaching the ideal value of 8.0.
  • To assess the proposed cryptosystem's resilience against diverse cryptanalytic and noise attacks.

Main Methods:

  • Implemented a hybrid encryption scheme combining Diffie-Hellman, ElGamal, and symmetric encryption for dynamic key generation.
  • Employed a fourteen-round encryption process followed by an entropy enhancement algorithm.
  • Evaluated security using metrics like entropy, correlation, NPCR, UACI, and resistance to differential, linear, and brute force attacks.
  • Tested robustness against various noise types (additive, multiplicative, occlusion, χ2) using a proposed Similarity Parameter (SP).

Main Results:

  • Achieved high entropy values for encrypted images, often reaching the ideal 8.0, with an average increase from 7.99926.
  • Demonstrated significant resilience against differential, linear, brute force, and algebraic attacks.
  • Showcased robustness against 20%-50% noise levels, including additive, multiplicative, occlusion, and χ2 noise.
  • The entropy enhancement algorithm slightly increased image size by approximately 8%.

Conclusions:

  • The proposed hybrid cryptosystem offers a secure and effective solution for image encryption.
  • The method significantly improves image entropy and demonstrates strong resistance to various attacks and noise.
  • The system provides a valuable contribution to the field of secure image transmission and storage.