Image encryption using the two-dimensional logistic chaotic map

2012 ◽  
Vol 21 (1) ◽  
pp. 013014 ◽  
Author(s):  
Yue Wu
Keyword(s):  
Image Encryption ◽  
Chaotic Map ◽  
Two Dimensional ◽  
Logistic Chaotic Map

scholarly journals A Novel Image Encryption Algorithm Based on DNA Subsequence Operation

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Qiang Zhang ◽  
Xianglian Xue ◽  
Xiaopeng Wei
Keyword(s):  
Image Encryption ◽  
Chaotic Map ◽  
Security Analysis ◽  
Experimental Results ◽  
Encryption Algorithm ◽  
Secret Key ◽  
Logistic Chaotic Map ◽  
Image Encryption Algorithm

We present a novel image encryption algorithm based on DNA subsequence operation. Different from the traditional DNA encryption methods, our algorithm does not use complex biological operation but just uses the idea of DNA subsequence operations (such as elongation operation, truncation operation, deletion operation, etc.) combining with the logistic chaotic map to scramble the location and the value of pixel points from the image. The experimental results and security analysis show that the proposed algorithm is easy to be implemented, can get good encryption effect, has a wide secret key's space, strong sensitivity to secret key, and has the abilities of resisting exhaustive attack and statistic attack.

scholarly journals Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem

2018 ◽  
Vol 2018 ◽  
pp. 1-24 ◽  
Author(s):  
Zeyu Liu ◽  
Tiecheng Xia ◽  
Jinbo Wang
Keyword(s):  
Elliptic Curve ◽  
Image Encryption ◽  
Chaotic Map ◽  
Phase Portraits ◽  
Largest Lyapunov Exponent ◽  
Elliptic Curve Cryptosystem ◽  
Two Dimensional ◽  
Triangle Function ◽  
Function Combination ◽  
Secret Keys

A new fractional two-dimensional triangle function combination discrete chaotic map (2D-TFCDM) with the discrete fractional difference is proposed. We observe the bifurcation behaviors and draw the bifurcation diagrams, the largest Lyapunov exponent plot, and the phase portraits of the proposed map, respectively. On the application side, we apply the proposed discrete fractional map into image encryption with the secret keys ciphered by Menezes-Vanstone Elliptic Curve Cryptosystem (MVECC). Finally, the image encryption algorithm is analysed in four main aspects that indicate the proposed algorithm is better than others.

A Watermark Preprocessing Algorithm Based on Arnold Transformation and Logistic Chaotic Map

2011 ◽  
Vol 341-342 ◽  
pp. 720-724 ◽  
Author(s):  
Wang Sheng Fang ◽  
Lu Lu Wu ◽  
Rong Zhang
Keyword(s):  
Correlation Analysis ◽  
Image Encryption ◽  
Chaotic Map ◽  
Encryption Algorithm ◽  
Arnold Transform ◽  
Key Space ◽  
Key Sensitivity ◽  
Logistic Chaotic Map ◽  
Arnold Transformation ◽  
Image Encryption Algorithm

One of the main purpose of the watermark preprocessing is to improve the robustness and security. For this reason,this paper presents an image encryption algorithm, which combines position scrambling and gray scrambling scrambled according to Arnold transform.Then all of the pixels of each sub-block are scambled by the algorithm based on Logistic chaotic map.Finally, all of the Pixels are redistributed and scrambled totally.Basing on image location scrambling,it takes advantage of multi-dimensional Arnold transformation and Logistic chaotic map, image gray scrambling is achieved. By histogram analysis,key sensitivity anslysis and correlation analysis of adjacent pixels of the results of the simulation, indicating that the scrambling effect of the algorithm is good,and the key space is large.

scholarly journals IMAGE ENCRYPTION BASED ON TWO-DIMENSIONAL FRACTIONAL QUADRIC POLYNOMIAL MAP

Fractals ◽  
2021 ◽  
pp. 2140041
Author(s):  
ZE-YU LIU ◽  
TIE-CHENG XIA ◽  
HUA-RONG FENG ◽  
CHANG-YOU MA
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Chaotic Map ◽  
Encryption Algorithm ◽  
Phase Portraits ◽  
Largest Lyapunov Exponent ◽  
Two Dimensional ◽  
Polynomial Map ◽  
Dynamical Behaviors ◽  
Image Encryption Algorithm

A new fractional two-dimensional quadric polynomial discrete chaotic map (2D-QPDM) with the discrete fractional difference is proposed. Afterwards, the new dynamical behaviors are observed, so that the bifurcation diagrams, the largest Lyapunov exponent plot and the phase portraits of the proposed map are given, respectively. The new discrete fractional map is exploited into color image encryption algorithm and it is illustrated with several examples. The proposed image encryption algorithm is analyzed in six aspects which indicates that the proposed algorithm is superior to other known algorithms as a conclusion.

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