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.

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.

scholarly journals Cryptanalysis of a New Color Image Encryption Using Combination of the 1D Chaotic Map

2020 ◽  
Vol 10 (6) ◽  
pp. 2187
Author(s):  
Yuqiang Dou ◽  
Ming Li
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Chaotic Map ◽  
Original Method ◽  
Encryption Algorithm ◽  
One Dimension ◽  
Color Image Encryption ◽  
Chosen Plaintext Attack ◽  
Image Communication ◽  
Image Encryption Algorithm

Security of image communication is more and more important in many applications such as the transmission of military and medical images. To meet the requirement, a new color image encryption algorithm using a new one-dimension (1D) chaotic map was proposed recently, which can resist various attacks because the range of the new chaotic map is larger than that of the previous ones. In our study, the security of the new original method is analyzed and a novel attack method is proposed. It is demonstrated that the scheme is not secure under chosen-plaintext attack, by which the encrypted image can be successfully converted into the corresponding plaintext image without any error.

scholarly journals Color Image Encryption Based on Cross 2d Hyperchaotic Map Using Combined Cycle Shift Scrambling and Selecting Diffusion

2021 ◽  
Author(s):  
Lin Teng ◽  
Xingyuan Wang ◽  
Feifei Yang ◽  
Yongjin Xian
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Nonlinear Function ◽  
Combined Cycle ◽  
Encryption Algorithm ◽  
Phase Portraits ◽  
Integer Matrix ◽  
Color Image Encryption ◽  
Plain Image ◽  
Image Encryption Algorithm

Abstract A novel color image encryption algorithm based on a cross 2D hyperchaotic map is proposed in this paper. The cross 2D hyperchaotic map is constructed using one nonlinear function and two chaotic maps with cross structure. Chaotic behaviors are illustrated using bifurcation diagrams, Lyapunov exponent spectra and phase portraits, etc. In the color image encryption algorithm, the keys are generated using hash function SHA-512 and the information of plain color image. First, the color plain image is converted to a combined bit-level matrix and permuted by the chaos based row and column combined cycle shift scrambling method. Then the scrambled integer matrix is diffused according to the selecting sequence which depends on the chaotic sequence. Last, the cipher color image is obtained by decomposed the diffused matrix. Simulation results show that the algorithm can encrypt the color image effectively and has good security.

Fractional two-dimensional discrete chaotic map and its applications to the information security with elliptic-curve public key cryptography

2017 ◽  
Vol 24 (20) ◽  
pp. 4797-4824 ◽  
Author(s):  
Zeyu Liu ◽  
Tiecheng Xia ◽  
Jinbo Wang
Keyword(s):  
Elliptic Curve ◽  
Color Image ◽  
Chaotic Map ◽  
Public Key Cryptography ◽  
Public Key ◽  
Phase Portraits ◽  
Largest Lyapunov Exponent ◽  
Two Dimensional ◽  
Function Combination ◽  
The Difference

A novel fractional two-dimensional triangle function combination discrete chaotic map is proposed by use of the discrete fractional calculus. The chaos behaviors are then discussed when the difference order is a fractional one. The bifurcation diagrams, the largest Lyapunov exponent and the phase portraits are displayed, especially, the elliptic curve public key cryptosystem is used in color image encryption algorithm.

Color Image Encryption with Cipher Feedback and Coupling Chaotic Map

2020 ◽  
Vol 30 (12) ◽  
pp. 2050173 ◽  
Author(s):  
Hongjun Liu ◽  
Abdurahman Kadir ◽  
Chengbo Xu
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Chaotic Map ◽  
Nonlinear Behavior ◽  
Encryption Algorithm ◽  
Encryption Scheme ◽  
Color Image Encryption ◽  
Quadratic Map ◽  
Previous Round ◽  
Image Encryption Algorithm

Based on the classic quadratic map (CQM) with abundant bifurcations and periodic windows, a new 3D improved coupling quadratic map (3D-ICQM) is constructed, and its phase diagram, Lyapunov exponent (LE) and randomness testing by TestU01 demonstrated that it has better ergodicity, more complex nonlinear behavior, larger chaotic range and better randomness. To investigate its application in cryptography, a 3D-ICQM based color image encryption algorithm with round key expansion is designed. To further enhance the randomness of key stream, the hash value of intermediate cipher of the previous round is converted into new initial values and fed back into 3D-ICQM, to generate the key stream for the current round. The security and statistical analyses demonstrated that the encryption scheme has better security performance than several existing algorithms.

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