An Encryption Algorithm Based on Transformed Logistic Map

Security issues which exist while sequences produced by Logistic chaotic map used in encryption is analyzed. Moreover, an improved algorithm to the problem is proposed. The algorithm solves the some common problems of Logistic chaotic map such as ldquostable windowsrdquo, blank windows and uneven distribution of sequences etc. by increasing bifurcation parameters. It overcomes the defects of sequences crossing over the bounds by the modular operation which breaks through the limits that the bifurcation control parameters can not be bigger than 4. The experiment results show that the sequences generated by the improved algorithm have better pseudo-randomness, lower computational complexity and much bigger key space. Therefore, it is very suitable for the data encryption, especially for multimedia data.