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In recent years, a lot of chaotic cryptosystems have been proposed. However, most of these cryptosystems can encrypt only one plaintext in one encryption process. We call these cryptosystems single-plaintext-oriented cryptosystems. In this paper, the authors propose a new chaotic cryptosystem which can encrypt multiple plaintexts in one encryption process. The proposed cryptosystem is dedicated to encrypting multiple plaintexts in the situation of transmitting multiple secret files over public data communication network in one secure transmission. Experiments and theoretic analysis show that the proposed cryptosystem possesses high security and fast performance speed. They also show that the proposed cryptosystem is more secure than single-plaintext-oriented chaotic cryptosystems in this special situation.