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arXiv · 1404.3600

Deciphering a novel image cipher based on mixed transformed Logistic maps

Yuansheng Liu·Hua Fan·Eric Yong Xie·Ge Cheng·Chengqing Li
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Abstract

Since John von Neumann suggested utilizing Logistic map as a random number generator in 1947, a great number of encryption schemes based on Logistic map and/or its variants have been proposed. This paper re-evaluates the security of an image cipher based on transformed logistic maps and proves that the image cipher can be deciphered efficiently under two different conditions: 1) two pairs of known plain-images and the corresponding cipher-images with computational complexity of $O(2^{18}+L)$; 2) two pairs of chosen plain-images and the corresponding cipher-images with computational complexity of $O(L)$, where $L$ is the number of pixels in the plain-image. In contrast, the required condition in the previous deciphering method is eighty-seven pairs of chosen plain-images and the corresponding cipher-images with computational complexity of $O(2^{7}+L)$. In addition, three other security flaws existing in most Logistic-map-based ciphers are also reported.

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Yuansheng Liu, Hua Fan, Eric Yong Xie, Ge Cheng, Chengqing Li. 2014-04-14. Deciphering a novel image cipher based on mixed transformed Logistic maps. https://doi.org/10.1142/s0218127415501886

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