Image Encryption Technology Based on Fractional two Dimensional Discrete Chaotic Map Accompanied with Menezes-Vanstone Elliptic Curve Cryptosystem

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.

Download Full-text

Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes–Vanstone elliptic curve cryptosystem

Chinese Physics B ◽

10.1088/1674-1056/27/3/030502 ◽

2018 ◽

Vol 27 (3) ◽

pp. 030502 ◽

Cited By ~ 8

Author(s):

Zeyu Liu ◽

Tiecheng Xia ◽

Jinbo Wang

Keyword(s):

Elliptic Curve ◽

Image Encryption ◽

Fractional Order ◽

Chaotic Map ◽

Elliptic Curve Cryptosystem ◽

Two Dimensional

Download Full-text

Elliptic Curve Blended Cross Chaos Based Secure Image Communication

International Journal of Recent Technology and Engineering - 2 ◽

10.35940/ijrte.c6807.098319 ◽

2019 ◽

Vol 8 (3) ◽

pp. 4481-4484

Keyword(s):

Elliptic Curve ◽

Image Encryption ◽

Elliptic Curve Cryptography ◽

Secure Communication ◽

Chaotic Map ◽

Chaotic Sequence ◽

Symmetric Encryption ◽

Image Communication ◽

Chaotic Sequences ◽

Asymmetric Encryption

Image encryption has proven a successful method to communicate the confidential information. Some of the images may or may not be confidential. So there is a need to secure the confidential images. Initially, symmetric encryption is used for security purpose. But it has the problem that if the key is revealed the interceptors can immediately decode it. To make the key transformation more secure, asymmetric encryption is introduced. In this two different keys are used for encoding and decoding. So even the interceptors hacked the key it cannot be possible to decode. In this project Elliptic Curve Cryptography (ECC) is utilized for generating the keys and the cross chaotic map used for generating the chaotic sequence. These chaotic sequences are utilized to encode the image for secure communication.

Download Full-text

IMAGE ENCRYPTION BASED ON TWO-DIMENSIONAL FRACTIONAL QUADRIC POLYNOMIAL MAP

Fractals ◽

10.1142/s0218348x21400417 ◽

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.

Download Full-text