FAST, PARALLEL AND SECURE CRYPTOGRAPHY ALGORITHM USING LORENZ'S ATTRACTOR

Anderson Gonçalves Marco (), Alexandre Souto Martinez () and Odemir Martinez Bruno ()
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Anderson Gonçalves Marco: Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, Av. do Trabalhador Sãocarlense 400, 13560-970 São Carlos, São Paulo, Brazil
Alexandre Souto Martinez: Universidade de São Paulo, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Av. Bandeirantes 3900, 14040-901 Ribeirão Preto, SP, Brazil;
Odemir Martinez Bruno: Universidade de São Paulo, Instituto de Física de São Carlos, Av. do Trabalhador Sãocarlense 400, 13560-970 São Carlos, São Paulo, Brazil

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 03, 365-382

Abstract: A novel cryptography method based on the Lorenz's attractor chaotic system is presented. The proposed algorithm is secure and fast, making it practical for general use. We introduce the chaotic operation mode, which provides an interaction among the password, message and a chaotic system. It ensures that the algorithm yields a secure codification, even if the nature of the chaotic system is known. The algorithm has been implemented in two versions: one sequential and slow and the other, parallel and fast. Our algorithm assures the integrity of the ciphertext (we know if it has been altered, which is not assured by traditional algorithms) and consequently its authenticity. Numerical experiments are presented, discussed and show the behavior of the method in terms of security and performance. The fast version of the algorithm has a performance comparable to AES, a popular cryptography program used commercially nowadays, but it is more secure, which makes it immediately suitable for general purpose cryptography applications. An internet page has been set up, which enables the readers to test the algorithm and also to try to break into the cipher.

Keywords: Encryption/decription; chaos; Lorenz's attractor; nonlinear systems; 05.45.-a; 05.45.Vx; 05.45.Gg; 05.45.Ra (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015166

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