A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations

doi:10.1088/1674-1056/26/10/100504

中国物理B ›› 2017, Vol. 26 ›› Issue (10): 100504-100504.doi: 10.1088/1674-1056/26/10/100504

A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations

Li-Min Zhang(张立民), Ke-Hui Sun(孙克辉), Wen-Hao Liu(刘文浩), Shao-Bo He(贺少波)

School of Physics and Electronics, Central South University, Changsha 410083, China

收稿日期:2017-03-24 修回日期:2017-06-04 出版日期:2017-10-05 发布日期:2017-10-05
通讯作者: Ke-Hui Sun E-mail:kehui@csu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61161006 and 61573383).

A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations

Li-Min Zhang(张立民), Ke-Hui Sun(孙克辉), Wen-Hao Liu(刘文浩), Shao-Bo He(贺少波)

School of Physics and Electronics, Central South University, Changsha 410083, China

Received:2017-03-24 Revised:2017-06-04 Online:2017-10-05 Published:2017-10-05
Contact: Ke-Hui Sun E-mail:kehui@csu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61161006 and 61573383).

摘要/Abstract

摘要： In this paper, Adomian decomposition method (ADM) with high accuracy and fast convergence is introduced to solve the fractional-order piecewise-linear (PWL) hyperchaotic system. Based on the obtained hyperchaotic sequences, a novel color image encryption algorithm is proposed by employing a hybrid model of bidirectional circular permutation and DNA masking. In this scheme, the pixel positions of image are scrambled by circular permutation, and the pixel values are substituted by DNA sequence operations. In the DNA sequence operations, addition and substraction operations are performed according to traditional addition and subtraction in the binary, and two rounds of addition rules are used to encrypt the pixel values. The simulation results and security analysis show that the hyperchaotic map is suitable for image encryption, and the proposed encryption algorithm has good encryption effect and strong key sensitivity. It can resist brute-force attack, statistical attack, differential attack, known-plaintext, and chosen-plaintext attacks.

关键词: color image encryption, DNA sequence operation, fractional calculus, piecewise-linear hyperchaotic system

Abstract: In this paper, Adomian decomposition method (ADM) with high accuracy and fast convergence is introduced to solve the fractional-order piecewise-linear (PWL) hyperchaotic system. Based on the obtained hyperchaotic sequences, a novel color image encryption algorithm is proposed by employing a hybrid model of bidirectional circular permutation and DNA masking. In this scheme, the pixel positions of image are scrambled by circular permutation, and the pixel values are substituted by DNA sequence operations. In the DNA sequence operations, addition and substraction operations are performed according to traditional addition and subtraction in the binary, and two rounds of addition rules are used to encrypt the pixel values. The simulation results and security analysis show that the hyperchaotic map is suitable for image encryption, and the proposed encryption algorithm has good encryption effect and strong key sensitivity. It can resist brute-force attack, statistical attack, differential attack, known-plaintext, and chosen-plaintext attacks.

Key words: color image encryption, DNA sequence operation, fractional calculus, piecewise-linear hyperchaotic system

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Vx (Communication using chaos) 05.45.Gg (Control of chaos, applications of chaos)

张立民, 孙克辉, 刘文浩, 贺少波. A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations[J]. 中国物理B, 2017, 26(10): 100504-100504.

Li-Min Zhang(张立民), Ke-Hui Sun(孙克辉), Wen-Hao Liu(刘文浩), Shao-Bo He(贺少波). A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations[J]. Chin. Phys. B, 2017, 26(10): 100504-100504.

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A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations

A novel color image encryption scheme using fractional-order hyperchaotic system and DNA sequence operations

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