4.5 Article

BREAKING A CHAOTIC CRYPTOGRAPHIC SCHEME BASED ON COMPOSITION MAPS

Journal

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 20, Issue 8, Pages 2561-2568

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127410027192

Keywords

Chaos; image; encryption; cryptanalysis; differential attack

Funding

  1. Hong Kong Polytechnic University [G-YX2L]
  2. Research Grant Council of the Hong Kong SAR Government [523206, PolyU 5232/06E]
  3. CDTI, Ministerio de Industria, Turismo y Comercio of Spain in collaboration with Telefonica I+D [CENIT-2007-2004]
  4. CDTI, Ministerio de Industria, Turismo y Comercio of Spain in collaboration with SAC
  5. Ministerio de Ciencia e Innovacion of Spain [MTM2008-02194]

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Recently a chaotic cryptographic scheme based on composition maps was proposed. This paper studies the security of the scheme and reports the following problems: (1) the scheme can be broken by a differential attack with 6 + [log L (MN)] chosen plaintexts, where MN is the size of the plaintext and L is the number of different elements in plaintext; (2) the two composition maps both do not work as a secure and efficient source of random numbers; (3) the scheme is not sensitive to the changes of the plaintext.

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