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Cellular Automata Cryptographic Model Based On Bi-Directional Toggle Rules

Author

Listed:
  • G. M. B. OLIVEIRA

    (Pós-Graduação em Engenharia Elétrica, Universidade Presbiteriana Mackenzie, Rua da Consolação 896, Edificio Amantino Vassão, térreo, 01302-907, São Paulo, SP, Brazil;
    Faculdade de Computação, Universidade Federal de Uberlândia, Uberlândia, MG, Brazil)

  • A. R. COELHO

    (Pós-Graduação em Engenharia Elétrica, Universidade Presbiteriana Mackenzie, Rua da Consolação 896, Edificio Amantino Vassão, térreo, 01302-907, São Paulo, SP, Brazil)

  • L. H. A. MONTEIRO

    (Pós-Graduação em Engenharia Elétrica, Universidade Presbiteriana Mackenzie, Rua da Consolação 896, Edificio Amantino Vassão, térreo, 01302-907, São Paulo, SP, Brazil;
    Departamento de Engenharia de Telecomunicações e Controle, Universidade de São Paulo, São Paulo, SP, Brazil)

Abstract

Cellular automata (CA) are discrete dynamical systems that can be employed as cryptography algorithms. Irreversible CA with toggle rules — either to the right or to the left — were already proposed for encrypting. However, the similarity between ciphertexts when the plaintext is submitted to a small perturbation was identified as a flaw in this model. Here, such a model is altered by using bi-directional toggle CA rules instead of one-directional ones. Numerical experiments showed that the similarity flaw was eliminated by considering this modification, obtaining protection against differential cryptanalysis.

Suggested Citation

  • G. M. B. Oliveira & A. R. Coelho & L. H. A. Monteiro, 2004. "Cellular Automata Cryptographic Model Based On Bi-Directional Toggle Rules," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(08), pages 1061-1068.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:08:n:s0129183104006583
    DOI: 10.1142/S0129183104006583
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