Elsevier

Physics Letters A

Volume 240, Issues 1–2, 23 March 1998, Pages 50-54
Physics Letters A

Cryptography with chaos

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Abstract

It is possible to encrypt a message (a text composed by some alphabet) using the ergodic property of the simple low-dimensional and chaotic logistic equation. The basic idea is to encrypt each character of the message as the integer number of iterations performed in the logistic equation, in order to transfer the trajectory from an initial condition towards an ϵ-interval inside the logistic chaotic attractor.

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This work was partially supported by the Brazilian financial agency CAPES, the Institute for Physical Plasma research, and U.S. Department of Energy (Mathematical, Information, and Computational Sciences Division, High Performance Computing and Communications Program).

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