Cryptanalyzing an image encryption scheme based on logistic map

Chengqing Li, Tao Xie, Qi Liu · arXiv (Cornell University) · 2013

Abstract Recently, an image encryption scheme based 2 on logistic map was proposed. It has been reported by a 3 research group that its equivalent secret key can be re- 4 constructed with only one pair of known-plaintext and 5 the corresponding cipher-text. Utilizing stable distribu- 6 tion of the chaotic states generated by iterating the lo- 7 gistic map, this paper further demonstrates that much 8 more information about the secret key can be derived 9 under the same condition. 10 Keywords cryptanalysis · chosen-plaintext attack · 11 image encryption · logistic map 12 1Introduction 13 With the rapid development of information transmis- 14 sion technology and popularization of multimedia cap- 15 ture device, multimedia data are transmitted over all 16 kinds of wired/wireless networks more and more fre- 17 quently. Consequently, the security of multimedia data 18 becomes a serious concern of many people. However, 19 the traditional text encryption schemes cannot protect 20 multimedia data efficiently, mainly due to the big dif-

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