基于混沌系統(tǒng)的圖像加密算法研究
發(fā)布時間：2019-01-07 19:07
【摘要】：隨著計算機和網(wǎng)絡技術的快速發(fā)展,網(wǎng)絡安全性問題也引起越來越多人的關注。而數(shù)字圖像因其形象、直觀與生動等特點,使其成為網(wǎng)絡信息傳輸中的重要表達方式。然而由于數(shù)字圖像具有數(shù)據(jù)量大,冗余度高,像素之間相關性強等特點,AES等傳統(tǒng)的加密算法算法不再適合于圖像加密。另一方面混沌系統(tǒng)因其具有對初始條件和控制參數(shù)的敏感性,周期點的稠密性以及拓撲傳遞性等特性,使其特別適合圖像加密。近年來,大量的基于混沌的圖像加密算法相繼被提出。傳統(tǒng)的加密技術大多基于一維混沌信號,由于這些加密技術具有密鑰空間小,安全性低等缺點,因而這些加密算法存在著很大的缺陷。本文在此背景下將分數(shù)階Chen系統(tǒng)與高維混沌系統(tǒng)應用于圖像加密算法中,提高了算法的安全性和復雜度。本文主要工作和創(chuàng)新之處在于： 1.首先分析了混沌圖像加密的國內(nèi)外研究現(xiàn)狀以及研究意義,詳細的介紹了混沌理論以及密碼學的基本知識,并對二者的關系進行了剖析。接下來對混沌圖像加密算法的一般步驟以及評價指標進行了介紹。 2.提出了一種基于分數(shù)階Chen系統(tǒng)的圖像加密新算法。首先利用分數(shù)階Chen系統(tǒng)產(chǎn)生所需的置亂序列；然后通過對明文信息的判斷來完成行列置亂序列的選擇,從而保證了其與明文的相關性；對置亂后的圖像采用分組異或的算法對其像素值進行預處理,同時對預處理后的圖像進行兩輪像素加密,增加了算法的復雜度和安全性。最后通過與整數(shù)階Chen系統(tǒng)算法進行比較可知該算法具有密文相關度低,密鑰空間更大,安全性更高等優(yōu)點。 3.基于超混沌系統(tǒng)的性質(zhì),提出了一種完全置亂方案的圖像加密算法。首先利用超混沌系統(tǒng)產(chǎn)生所需的混沌序列,進而實現(xiàn)像素點位置的置亂；然后將以上所產(chǎn)生的置亂序列作為Logistic映射的密鑰產(chǎn)生加密序列,增加了兩過程之間的耦合性；此外單個點像素點之后以及之前加密完成的所有像素點灰度值之和被用來加密該像素值,保證了與明密文之間的相關性,從而能夠有效的抵御已知／選擇明文等各種攻擊。理論分析及實驗表明該算法具有密文相關度低,密鑰空間更大,安全性高等優(yōu)點。 4.基于數(shù)字圖像具有數(shù)據(jù)量大,相鄰像素之間的冗余度高等特性,為了提高算法的安全性,提出了一種基于分塊的圖像加密新算法。首先利用高維混沌系統(tǒng)產(chǎn)生四組混沌序列,同時將圖像分為大小等同的四塊,通過各塊的明文信息確定對置亂序列的選擇,進而實現(xiàn)對圖像的置亂。然后將上述所產(chǎn)生的置亂序列與明文信息、前一個加密的密文信息以及與之相對應的上塊密文信息相結(jié)合來生成密文圖像,增加了兩過程之間的耦合度,同時保證了相鄰像素之間以及各子塊之間的相關性,從而能夠有效的抵御已知/選擇明文等各種攻擊。理論分析及實驗表明該算法具有密文相關度低,密鑰空間更大,安全性高等優(yōu)點。 最后對論文工作進行了全面的總結(jié),并指出了混沌圖像加密的進一步研究方向。
[Abstract]:With the rapid development of computer and network technology, the problem of network security has attracted more and more attention. The digital image, because of its image, visual and vivid features, makes it an important expression in the transmission of network information. However, the traditional encryption algorithm, such as AES, is no longer suitable for image encryption because the digital image has the characteristics of large data volume, high redundancy, strong correlation among pixels, and the like. On the other hand, the hybrid system makes it particularly suitable for image encryption because of its sensitivity to the initial conditions and control parameters, the density of the periodic points, and the topological transitivity. In recent years, a large number of hybrid-based image encryption algorithms have been proposed. Most of the traditional encryption techniques are based on one-dimensional mixed encryption. Because these encryption techniques have the disadvantages of small key space, low security, and so on, these encryption algorithms are very defective. In this paper, the fractional-order Chen system and the high-dimensional hybrid system are applied to the image encryption algorithm, and the security and the complexity of the algorithm are improved. The main work and innovation of this paper are: 1. First of all, the present situation and significance of the research on the encryption of the mixed image are analyzed, and the basic knowledge of the theory of mixing and the basic knowledge of cryptography are introduced in detail, and the relation between them is cut. In this paper, the general procedure and the evaluation index of the hybrid image encryption algorithm are introduced. The image encryption based on the fractional-order Chen system is presented in this paper. The method comprises the following steps of: firstly, generating a required scrambling sequence by using a fractional-order Chen system; then, performing selection of a row-and-column scrambling sequence by the judgment of the plaintext information, so as to ensure the correlation with the plaintext; and performing a packet-exclusive-OR algorithm on the scrambled image to carry out the pixel value thereof. preprocessing, carrying out two-wheel pixel encryption on the pre-processed image at the same time, and increasing the complexity of the algorithm and and finally, comparing with an integer-order Chen system algorithm, the algorithm has the advantages of low cipher text degree, larger key space and higher security. 3. Based on the properties of the super-hybrid system, a complete scrambling scheme is proposed. The method comprises the following steps of: firstly, generating the required mixed sequence by using a super-hybrid system, and further realizing the scrambling of the position of the pixel points; and generating an encryption sequence as a key of the logistic mapping by using the generated scrambling sequence as a key of the logistic mapping, and increasing the two processes. and the sum of the gray values of all the pixel points after the single point pixel point and the previous encryption are used to encrypt the pixel value, and the correlation between the pixel value and the clear cipher text is ensured, so that the known/ selected plaintext can be effectively resisted. The theoretical analysis and the experiment show that the algorithm has the advantages of low cipher text correlation, larger key space and security. in ord to improve that security of the algorithm, a block-based method is proposed to improve the security of the algorithm. The method comprises the following steps of: firstly, generating four groups of mixed color sequences by using a high-dimensional hybrid system, and simultaneously dividing the images into four equal-size four, and determining the selection of the scrambling sequence through the plaintext information of each block, and then the generated scrambling sequence is combined with the plaintext information, the previous encrypted ciphertext information and the upper block cipher text information corresponding to the plaintext information to generate the ciphertext image, the coupling degree between the two processes is increased, The correlation between the blocks so that it can be effectively protected against known/ selected The theoretical analysis and the experiment show that the algorithm has the advantages of low cipher text correlation, larger key space, In the end, the paper summarizes the work of the paper, and points out the addition of the mixed image.
【學位授予單位】：揚州大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TP309.7
本文編號：2404028
[Abstract]:With the rapid development of computer and network technology, the problem of network security has attracted more and more attention. The digital image, because of its image, visual and vivid features, makes it an important expression in the transmission of network information. However, the traditional encryption algorithm, such as AES, is no longer suitable for image encryption because the digital image has the characteristics of large data volume, high redundancy, strong correlation among pixels, and the like. On the other hand, the hybrid system makes it particularly suitable for image encryption because of its sensitivity to the initial conditions and control parameters, the density of the periodic points, and the topological transitivity. In recent years, a large number of hybrid-based image encryption algorithms have been proposed. Most of the traditional encryption techniques are based on one-dimensional mixed encryption. Because these encryption techniques have the disadvantages of small key space, low security, and so on, these encryption algorithms are very defective. In this paper, the fractional-order Chen system and the high-dimensional hybrid system are applied to the image encryption algorithm, and the security and the complexity of the algorithm are improved. The main work and innovation of this paper are: 1. First of all, the present situation and significance of the research on the encryption of the mixed image are analyzed, and the basic knowledge of the theory of mixing and the basic knowledge of cryptography are introduced in detail, and the relation between them is cut. In this paper, the general procedure and the evaluation index of the hybrid image encryption algorithm are introduced. The image encryption based on the fractional-order Chen system is presented in this paper. The method comprises the following steps of: firstly, generating a required scrambling sequence by using a fractional-order Chen system; then, performing selection of a row-and-column scrambling sequence by the judgment of the plaintext information, so as to ensure the correlation with the plaintext; and performing a packet-exclusive-OR algorithm on the scrambled image to carry out the pixel value thereof. preprocessing, carrying out two-wheel pixel encryption on the pre-processed image at the same time, and increasing the complexity of the algorithm and and finally, comparing with an integer-order Chen system algorithm, the algorithm has the advantages of low cipher text degree, larger key space and higher security. 3. Based on the properties of the super-hybrid system, a complete scrambling scheme is proposed. The method comprises the following steps of: firstly, generating the required mixed sequence by using a super-hybrid system, and further realizing the scrambling of the position of the pixel points; and generating an encryption sequence as a key of the logistic mapping by using the generated scrambling sequence as a key of the logistic mapping, and increasing the two processes. and the sum of the gray values of all the pixel points after the single point pixel point and the previous encryption are used to encrypt the pixel value, and the correlation between the pixel value and the clear cipher text is ensured, so that the known/ selected plaintext can be effectively resisted. The theoretical analysis and the experiment show that the algorithm has the advantages of low cipher text correlation, larger key space and security. in ord to improve that security of the algorithm, a block-based method is proposed to improve the security of the algorithm. The method comprises the following steps of: firstly, generating four groups of mixed color sequences by using a high-dimensional hybrid system, and simultaneously dividing the images into four equal-size four, and determining the selection of the scrambling sequence through the plaintext information of each block, and then the generated scrambling sequence is combined with the plaintext information, the previous encrypted ciphertext information and the upper block cipher text information corresponding to the plaintext information to generate the ciphertext image, the coupling degree between the two processes is increased, The correlation between the blocks so that it can be effectively protected against known/ selected The theoretical analysis and the experiment show that the algorithm has the advantages of low cipher text correlation, larger key space, In the end, the paper summarizes the work of the paper, and points out the addition of the mixed image.
【學位授予單位】：揚州大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TP309.7
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，本文編號：2404028
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