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On Max-Plus Algebra and Its Application on Image Steganography.

Kiswara Agung Santoso1, Fatmawati2, Herry Suprajitno2

  • 1Department of Mathematics, Faculty of Mathematics and Natural Science, Jember University, Kampus Bumi Tegal Boto, Jl. Kalimantan 37, Jember 68121, Indonesia.

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Summary

This study introduces a novel image steganography technique using max-plus algebra matrix multiplication. This method enhances security and capacity for hiding images within other images.

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Area of Science:

  • Computer Science
  • Cryptography
  • Digital Image Processing

Background:

  • Image steganography is crucial for secure data transmission.
  • Existing methods often face limitations in embedding capacity and security.
  • Max-plus algebra offers unique properties for cryptographic applications.

Purpose of the Study:

  • To develop a new image steganography method utilizing matrix multiplication in max-plus algebra.
  • To overcome the limitations of existing steganographic techniques regarding embedding capacity and security.
  • To leverage the non-invertible nature of max-plus algebra operations for enhanced information hiding.

Main Methods:

  • A novel steganography approach is proposed based on matrix multiplication operations within the max-plus algebra framework.
  • The encoding process involves disguising secret image data using matrices that lack a conventional inverse.
  • The method was tested using a variety of secret images embedded within cover images.

Main Results:

  • The proposed method demonstrates a significantly larger embedding capacity compared to previous techniques.
  • Experimental results indicate a high level of security and robustness for the hidden information.
  • The steganography technique proved effective across various operating systems.

Conclusions:

  • The developed max-plus algebra-based image steganography method offers superior embedding capacity and security.
  • The non-invertible nature of the matrix operations enhances the resilience against steganalysis.
  • This technique presents a viable solution for secure image data hiding in diverse computing environments.