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Aiming at the deficiency of the single DNA encoding rule and chaotic encryption algorithm has low sensitivity to key. This paper proposed an image encryption algorithm based on DNA encoding and hyper-chaotic system. Firstly, the algorithm used the SHA- 3 algorithm to calculate the hash value of the plaintext image, which was used for the initial value of the hyper-chaotic system and increased the sensitivity of plaintext. Secondly, it converted the image into DNA sequence and performed the DNA sequence operation with the constructed S-box. Finally, it scrambled the image by the sequence produced by hyper-chaotic system. The simulation results and theoretical analysis show that the algorithm improves the sensitivity of key and the security of data transmission, and has better ability of anti-exhaustive attack, statistical attack and differential attack. [ABSTRACT FROM AUTHOR]

Keccak has attracted many scientists since it was announced new standard of Hash function SHA-3 last year. ? and ? are the two most important and complex mappings in Keccak permutation. In this paper we first give the boolean function expression of ?, and then make a differential distribution table of ? by computing output differences from 32 input differences. We also make an analysis of the distribution pattern of ? from the distribution table. Double Kernel guarantees that the differences will not be diffused when passing ? mapping. With regard to this, we propose a new Double Kernel search algorithm with lower complexity compared with the algorithm in [1]. In the end, theoretic derivation and experiments prove that the differences with Hamming Weight equal to or less than 4 do not exist. [ABSTRACT FROM AUTHOR]