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研究生： 簡育勝
Yu-Sheng Chien
論文名稱： 混合渾沌AES彩色影像加密算法的FPGA實現與設計
FPGA Implementation and Design of A hybrid Chaos-AES Color Image Encryption Algorithm
指導教授： 楊振雄
Cheng-Hsiung Yang
口試委員: 郭鴻飛
Hung-Fei Kuo
郭永麟
Yong-lin Kuo
吳常熙
Wu, Chang-Hsi
學位類別： 碩士
Master
系所名稱： 工程學院 - 自動化及控制研究所
Graduate Institute of Automation and Control
論文出版年： 2019
畢業學年度： 107
語文別： 英文
論文頁數： 110
中文關鍵詞： 四維渾沌系統 、圖像加密 、S盒 、排序 、現場可程式化邏輯閘陣列
外文關鍵詞： Four-dimensional chaotic system, Image encryption, S-Box, Sort, FPGA
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  •  上一筆

    • 在本論文中，我們設計一種基於四維混沌系統生成金鑰及改進進階加密標準的影像加密演算法，並以Altera FPGA DE10-Standard實現整個加密與傳輸系統，利用FPGA的流水線與平行運算特性對其演算法優化。
    首先，利用相圖分析、平衡點分析與李亞普諾夫指數對渾沌系統的特性進行驗證。經驗證後的混沌系統當作金鑰產生器，用於加密演算法中。在改進的進階加密標準中，以旋轉排序和立方替換盒修改了列移位與位元組替換，並減少加密循環次數。接下來我們將加密演算法和有線圖像傳輸系統實現到基於ARM的SoC-FPGA，HPS軟體運行在Linux上，用於控制FPGA加密演算法與影像傳輸。當影像加密完成後，使用Socket傳輸到接收端，進行影像解密並透過VGA端口即時顯示。
    在加密安全性分析中，我們進行直方圖分析、相關性係數分析、差異性分析和熵值分析，其中，熵值分析包含全局與區域性。從加密安全性分析的結果表明，所提出的圖像加密演算法是安全有效的。

    In this thesis, we design an image encryption algorithm based on four-dimensional chaotic system to generate key and improve advanced encryption standard, and implement the encryption and transmission system with Altera FPGA DE10-Standard. The encryption algorithm is optimized by using the pipeline and parallel computing features of FPGA.
    First, the phase portraits analysis, equilibrium point analysis and Lyapunov exponent are used to verify the characteristics of the chaotic system. The verified chaotic system is used as a key generator for the encryption algorithm. In the improved advanced encryption standard, ShiftRows and SubByres are modified with Spin-Sort and Cubic S-Box, and the round of encryption is reduced. Next, we implement the encryption algorithm and the wired image transmission system to the ARM-based SoC-FPGA. The HPS software runs on Linux and is used to control the FPGA encryption algorithm and image transmission. After complete image encryption, use Socket to transmit to the receive side. Then decrypt the image and display it instantly through the VGA port.
    In the analysis of cryptographic security, we perform histogram analysis, correlation coefficient analysis, difference analysis and entropy analysis. The entropy analysis includes global and local. The results from the encryption security analysis show that the proposed image encryption algorithm is safe and effective.

    摘要 i Abstract iii 誌謝 iiiii CONTENTS iv List of Figure vii List of Table xii Chapter 1 Introduction 1 1.1 Background 1 1.2 Motivation and Objectives 1 1.3 Literature Review 2 1.4 Outline 3 Chapter 2 Design Encryption Algorithm 5 2.1 Chaotic System 5 2.1.1 Description of the system 5 2.1.2 Phase Portraits 5 2.1.3 Equilibrium Analysis 7 2.1.4 Lyapunov Exponent Analysis 9 2.2 Fundamental Principles of AES 12 2.3 Fundamental Principles of breadth-first search 14 2.4 Fundamental of Cubic S-box 17 2.5 Key Generator Design 20 2.6 Purpose of new chaotic encryption algorithm 21 2.6.1 AddRoundKey 21 2.6.2 Cubic S-Box replace SubBytes 25 2.6.3 Spin-Sort replace ShiftRows 25 2.6.4 MixColumns 29 2.6.5 Diversion of pixel 31 2.7 Process of decryption algorithm 32 2.6.1 Inverse Cubic S-Box 32 2.6.2 Inverse Spin-Sort 33 2.6.1 Inverse MixColumns 34 2.8 Flow chart of encryption and decryption 35 Chapter 3 FPGA Implementation 38 3.1 Development environment 38 3.1.1 FPGA 38 3.1.2 DE10-Standard 39 3.1.3 Intel Quartus Prime 40 3.1.4 SignalTap II Logic Analyzer 41 3.2 Euler's method for FPGA chaotic system implementation 42 3.2.1 IEEE Standard for Floating-Point Arithmetic 42 3.2.2 Chaos System Discretization 43 3.2.3 Chaotic Generator Implementation 43 3.2.4 Chaotic Generator Verification 47 3.3 HPS and Communication 50 3.3.1 Internal communication between HPS and FPGA 50 3.3.2 Wired communication between two DE10-Standard boards 52 3.4 Encryption System Hardware Implementation 54 3.4.1 SDRAM access 54 3.4.2 Encryption system 56 3.5 Demonstration 58 Chapter 4 Security Analysis 61 4.1 Histogram Analysis 61 4.2 Correlation Analysis 66 4.3 Differential Attack Analysis 82 4.4 Information Entropy Analysis 85 Chapter 5 Conclusion 88 5.1 Conclusion 88 5.2 Future Work 89 Reference 90

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