基于Fibonacci变换和改进Logistic-Tent混沌映射的图像加密方案

doi:10.13229/j.cnki.jdxbgxb.20220799

Abstract

Abstract:

At present， in the field of image data encryption， chaos theory encryption method is more prominent. The high randomness， unpredictability and extreme sensitivity of initial parameters of chaotic system provide favorable guarantee for image data security. Based on this kind of mapping， a large number of complex chaotic mapping models have been proposed by scholars at home and abroad. Compared with one-dimensional chaotic mapping， the security has been greatly improved， but the computational complexity has also increased. Therefore， this paper proposes a one-dimensional compound Logistic-Tent algorithm for chaotic mapping， which increases the mapping range of chaotic mapping， reduces the computational complexity and ensures the security of chaotic sequences. Combined with Fibonacci scrambling transform， this algorithm adopts scrambling - diffusion encryption process. Simulation experiments show that the scheme has high encryption rate， and can effectively defend against brute force cracking， entropy attack， difference attack and statistical image attack.

Key words: composite chaotic, image, Fibonacci, encryption, key space

CLC Number:

TP309.7

Xian-feng GUO,Hao-hua LI,Jin-yu WEI. Image encryption scheme based on Fibonacci transform and improved Logistic-Tent chaotic map[J].Journal of Jilin University(Engineering and Technology Edition), 2023, 53(7): 2115-2120.

Figures/Tables 7

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References 14

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图像大小	加密时间/s
图像大小	文献［10］	文献［11］	文献［12］	本文算法
256×256	1.6545	0.0197	0.0042	0.0224
512×512	4.5050	0.1587	0.0077	0.0063

方法	水平	垂直	对角
本文	0.0014	0.0066	0.0022
文献［10］	0.0097	0.0014	0.0031
文献［11］	0.0015	0.0065	0.0032
文献［12］	0.0106	0.0079	0.0043
文献［13］	0.0018	0.0027	0.0019
文献［14］	0.0001	0.0007	0.0037

方法	香农信息熵
方法	R通道	G通道	B通道
文献［13］	7.9900	7.9900	7.9901
文献［14］	7.9896	7.9893	7.9896
本文算法	7.9919	7.9922	7.9921

方法	NPCR	UACI
文献［10］	99.5900%	33.4600%
文献［11］	99.6089%	33.4623%
文献［12］	99.5468%	33.4445%
文献［13］	99.6100%	33.4633%
文献［14］	99.6231%	33.4575%
本文方法	99.5979%	33.1144%

Image encryption scheme based on Fibonacci transform and improved Logistic-Tent chaotic map

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