摘要
为了实现数字图像的分布式保密存储,本文提出了一种图像加密-秘密分享算法。图像加密功能由Logistic映射和ICMIC映射串联构成的二维串联调制耦合映射(Two-dimensional cascade modulation coupling map,2D-CMCM)产生的4个随机数序列控制图像的行/列置乱和扩散来实现。在已加密图像的秘密分享阶段,使用基于拉格朗日多项式插值的(3,5)门限秘密分享算法,将已加密图像分为5份秘密子图。解密者只有获取不少于3份的秘密子图及二维串联调制耦合映射的密钥才能实现原始明文图像的无损重建。在安全性分析实验中,本文所提出算法显示出了高度的抗攻击性;在可逆性分析实验中,秘密子图被证实可以实现原始明文图像的无损重构;在执行效率测试实验中,本文所提出算法的高执行效率也得到了验证。经过一系列实验,本文所提出算法的高度实用性得到了证实。
In order to realize distributed secure storage of digital images,an image encryption-secret sharing algorithm is proposed in this paper.The image encryption function is completed by a sequence of four random numbers generated by a two-dimensional cascade modulation coupling map(2D-CMCM),which composed of a logistic map and an ICMIC map,including row/column scrambling and diffusion.In the secret sharing phase of the encrypted image,the encrypted image is divided into five secret subgraphs using a(3,5)threshold secret sharing algorithm based on Lagrangian polynomial interpolation.The decryptor can obtain the lossless reconstruction of the original plaintext image only by acquiring no less than 3 secret subgraphs and secret keys.In the safety analysis experiment,the proposed algorithm shows a high degree of anti-aggression.In the reversibility analysis experiment,the secret subgraph is confirmed to achieve the lossless reconstruction of the original plaintext image.In the execution efficiency test,the high execution efficiency of the proposed algorithm is also verified.The a series of experiments con firmed the high practicability of the proposed algorithm.
作者
王宛平
李冰
WANG Wan-ping;LI Bing(Henan Quality Polytechnic,Pingdingshan,467000,China;Pingdingshan University,Pingdingshan,467000,China)
出处
《液晶与显示》
CAS
CSCD
北大核心
2019年第12期1210-1217,共8页
Chinese Journal of Liquid Crystals and Displays
关键词
混沌映射
秘密分享
图像加密
chaotic map
secret sharing
image encryption
