A New Approach on Color Image Encryption Using Arnold 4D Cat Map

  • Bidyut Jyoti Saha
  • Kunal Kumar Kabi
  • Chittaranjan PradhanEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 410)


To secure multimedia content such as digital color images, chaotic map can be used to shuffle or encrypt the original pixel positions of an image. A chaotic map such as Arnold cat map is used to encrypt images as the behavior is periodic and deterministic given the correct key values. Even a small change also cannot predict the behavior and properties of image. To secure digital color images, Arnold cat map is being used to encrypt and send it across public network. Various dimensions of Arnold cat map can be used to achieve greater level of secrecy and confusion. In this paper, our work has been extended to encrypt digital color images using Arnold 4D cat map. Here, the color image has been decomposed to its respective RGB planes. The plane’s pixel positions and gray scale values are then shuffled using Arnold 3D cat map. Then the resulting shuffled encrypted planes (red, green and blue) are divided into 3 parts vertically respectively. The parts of each plane are shuffled in a specific proposed manner with the parts of other planes to achieve greater level of diffusion and secrecy. Each plane holds information of two other planes. The result and analysis shows better result than Arnold 3D cat map used in image encryption.


Encryption Decryption Chaotic map Arnold 2D cat map Arnold 3D cat map Arnold 4D cat map Image security 


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Copyright information

© Springer India 2016

Authors and Affiliations

  • Bidyut Jyoti Saha
    • 1
  • Kunal Kumar Kabi
    • 2
  • Chittaranjan Pradhan
    • 3
    Email author
  1. 1.Industrial and Financial SystemsCapgeminiMumbaiIndia
  2. 2.Guidewire PracticeCGIBhubaneswarIndia
  3. 3.School of Computer EngineeringKIIT UniversityBhubaneshwarIndia

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