An encryption algorithm based on a disturbed Lorenz system is proposed. First, the system parameter b in the Lorenz system is disturbed by Legendre polynomials, and then a series of operations are performed on the original information using the random sequence generated by Lorenz, making the encrypted information more secure. The disturbance effectively compensates for the chaotic system degradation caused by the limited precision of the computer. After simulation experiments and detailed performance analysis of this algorithm, the results show that the encryption algorithm can ensure the encryption speed while making the randomness of the chaotic sequence and the security of the encryption system better than the three-dimensional chaotic cryptographic system and the joint chaotic encryption system. Abstract: In this paper, a chaotic encryption algorithm based on the disturbed Lorenz system is proposed. Firstly, the Lorenz system parameters b is disturbed by using the Legendre polynomial in order to compensate the degradation behavior of chaotic systems due to the computer\'s finite precision, then the plaintexts are encrypted by using the pseudo-random sequence which are produced by the disturbed Lorenz system. As a result, the algorithm can effectively resist all known attacks and make information more secure. The proposed algorithm is described in detail, along with its security analysis and implementation. Theoretical analyses and computer simulations both confirm that the new algorithm possesses high security and fast encryption speed for practical information encryption.
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