ESTABLISHING A MATHEMATICAL MODEL FOR ENCRYPTION AND DECRYPTION OF COMMUNICATION NETWORK DATA.

Data in communication networks need to be secured during transmission. This paper improved the mathematical model of advanced encryption standard (AES)-based encryption and decryption based on chaos theory. The key of AES was obtained using Logistic mapping and Chebyshev mapping. Random words were added to further improve the randomness of the key. The improved mathematical model was established and tested for its security. It was found that the key obtained from chaotic sequences fully passed the NIST test. Compared with x0 =0.1 the results of encryption and decryption obtained when x0 =0.1+10-15 were completely different, which proved the sensitivity of the key and the stronger randomness of the ciphertext obtained after encryption. Compared with AES, the improved mathematical model spent only 1/3 time in encryption and decryption, showing a higher efficiency. The results demonstrate the reliability of the improved mathematical model for data encryption and decryption in communication networks. This mathematical model can be applied in practical communication networks. [ABSTRACT FROM AUTHOR]