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A Cryptosystem Based on Iterations of Chaotic Map

A chaotic map has sensitivity to a change in initial conditions and parameters, and a long-term forecast becomes impossible by the iterations of a chaotic map. These features look similar to the properties of the cryptology. For that reason, it is effective to use chaotic maps for cryptosystems. In this research, we propose a cryptosystem by using iterations of a chaotic map. This cryptosystem uses expansion map for encryption and decryption. This cryptosystem is a symmetric-key cryptography that has a public key. We investigate the vulnerability of this cryptosystem.