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Hash function based on the generalized henon map

Chinese Physics B 2008年第5期17卷 1685-1690页

作者：郑凡田小建李雪妍吴斌 College of Electronic Science and Engineering Jilin University

A new Hash function based on the generalized henon map is proposed. We have obtained a binary sequence with excellent pseudo-random characteristics through improving the sequence generated by the generalized henon map, and use it to construct Hash function. First we divide the message into groups, and then carry out the Xor operation between the ASCII value of each group and the binary sequence, the result can be used as the initial values of the next loop. Repeat the procedure until all the groups have been processed, and the final binary sequence is the Hash value. In the scheme, the initial values of the generalized henon map are used as the secret key and the messages are mapped to Hash values with a designated length. Simulation results show that the proposed scheme has strong diffusion and confusion capability, good collision resistance, large key space, extreme sensitivity to message and secret key, and it is easy to be realized and extended.

关键词： the generalized henon map Hash function chaos

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Pseudo-random sequence generator based on the generalized henon map

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The Journal of China Universities of Posts and Telecommunications 2008年第3期15卷 64-68页

作者： ZHENG Fan TIAN Xiao-jian SONG Jing-yi LI Xue-yan College of Electronic Science and Engineering Jilin University Changchun 130012 China

By analysis and comparison of several chaotic systems that are applied to generate pseudo-random sequence, the generalized henon map is proposed as a pseudo-random sequence generator. A new algorithm is created to solve the problem of non-uniform distribution of the sequence generated by the generalized henon map. First, move the decimal point of elements in the sequence to the fight; then, cut off the integer; and finally, quantify it into a binary sequence. Statistical test, security analysis, and the application of image encryption have strongly supported the good random statistical characteristics, high linear complexity, large key space, and great sensitivity of the binary sequence.

关键词： pseudo-random sequence chaos the generalized henon map

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