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基于改進Lorenz混沌系統的圖像加密新算法

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成果類型:
期刊論文
論文標題(英文):
A new image encryption algorithm based on improved Lorenz chaotic system
作者:
汪彥;涂立
通訊作者:
Wang, Yan(shaoguanzai@sina.com)
作者機構:
[汪彥] School of Software, Central South University, Changsha, 410083, China
[涂立; 汪彥] School of Information and Electronic Engineering, Hunan City University, Yiyang, 413000, China
通訊機構:
School of Software, Central South University, Changsha, China
語種:
中文
關鍵詞:
Lorenz系統;圖像加密;混沌系統;置亂
關鍵詞(英文):
Chaotic system;Image encryption;Lorenz system;Scrambling
期刊:
中南大學學報. 自然科學版
期刊(英文):
Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology)
ISSN:
1672-7207
年:
2017
卷:
48
期:
10
頁碼:
2678-2685
基金類別:
湖南省教育廳科研項目<&wdkj&>益陽市指導性科技計劃項目(20165111)(Project(17C0296) supported by the Scientific Research of Department of Education of Hunan Province<&wdkj&>Project(20165111) supported by the Guiding Science and Technology Planning of Yiyang City, Hunan Province)
機構署名:
本校為其他機構
院系歸屬:
信息與電子工程學院
摘要:
為了提高圖像加密算法的加密安全性和抗攻擊能力,提出一種基于改進Lorenz混沌系統的圖像加密新算法。首先,將Lorenz系統中的1個非線性項用指數函數項與單變量2次平方項的和替代;然后,分析該改進Lorenz系統的動力學特性,證實其混沌特性;最后,利用該混沌映射生成分別用于置亂加密和替代加密的2組密鑰序列,進行圖像的加密和解密操作:在置亂加密階段,將圖像像素灰度進行升序排列,并與置亂加密密鑰序列結合實現像素位置置亂;在替代加密階段,采用密文反饋的加密方式修改像素灰度。研究結果表明:該算法能有效抵御選擇明文攻擊,密文圖像像素具有類隨機均勻分布特性,且相鄰像素具有零相關特性,擁有192 bit的密鑰空間且對密鑰非常敏感。
摘要(英文):
In order to improve the security and anti-attack ability of image encryption algorithm, a new image encryption algorithm based on improved Lorenz chaotic system was proposed. Firstly, a nonlinear term in the Lorenz system was replaced by an exponential function term and a two-square term of a single variable. Then, the dynamic characteristics of the improved Lorenz system were analyzed, which proved the chaotic characteristics of the system. Finally, the chaotic map was used to generate two groups of key sequences which were used for scrambling encryption and alternative encryption. In the scrambling encryption stage, the image pixel gray values were arranged in ascending order, and were combined with encryption key sequence to achieve pixel position scrambling. In the replacement encryption stage, the gray values of the pixels were modified by the way of cipher text feedback. The results show that the algorithm can effectively resist chosen plaintext attack, and the encrypted image has random-like distribution behavior of grey values and the adjacent pixels have zero correlation. The algorithm has 192 bit key spaces and it is very sensitive to the key.

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