Title
Security analysis of a binary image permutation scheme based on Logistic map
Abstract
In [\textit{Pattern Recognition Letters}, in press, doi:10.1016/j.patrec.2009.11.008], an image scrambling encryption algorithm of pixel bit based on chaos map was proposed. Considering the algorithm as a typical binary image scrambling/permutation algorithm exerting on plaintext of size $M\times (8N)$, this paper proposes a novel optimal method to break it with some known/chosen-plaintexts. The spatial complexity and computational complexity of the attack are only $O(32\cdot MN)$ and $O(16\cdot n_0\cdot MN)$ respectively, where $n_0$ is the number of known/chosen-plaintexts used. The method can be easily extended to break any permutation-only encryption scheme exerting on plaintext of size $M\times N$ and with $L$ different levels of values. The corresponding spatial complexity and computational complexity are only $O(MN)$ and $O(n_0\cdot MN)$ respectively. In addition, some specific remarks on the performance of the image scrambling encryption algorithm are presented.
Year
Venue
Keywords
2009
Clinical Orthopaedics and Related Research
cryptanalysis,encryption,known-plaintext attack,image,chosen-plaintext attack,logistic map,security analysis,binary image,known plaintext attack,computational complexity,pattern recognition
Field
DocType
Volume
Discrete mathematics,Scrambling,Computer science,Binary image,Permutation,Algorithm,Logistic map,Theoretical computer science,Encryption,Pixel,Plaintext,Computational complexity theory
Journal
abs/0912.1
Citations 
PageRank 
References 
3
0.47
13
Authors
2
Name
Order
Citations
PageRank
Chengqing Li192864.94
Kwok-Tung Lo266266.15