由於渾沌系統的遍歷性、初始值敏感性及不可預測性，使得其非常適合與影像加密做結合，而傳統的加密演算法如DES、TDES已經不適用於現代大量傳輸且透明化的網路世代，為了能達到安全性及加密效率的平衡，本論文設計新四維渾沌系統並使用其生成密鑰，其後將AES結合編碼的設計出高安全性及效率之加密演算法，並透過FPGA的流水線與平行運算對其加密演算法進行優化。
首先，本論文對新四維渾沌系統進行其性能分析，使用到的分析指標有相位圖、李亞普諾夫指數及NIST SP800-22測試，從分析結果可以發現我們的新四維渾沌系統有著優異的渾沌範圍及隨機性。其次，我們基於AES-128加密演算法結合了八卦編碼之架構，並設計了一個全新的五行相生相剋置換規則，且透過AES-128數輪加密，八卦編碼及五行相生相剋置換可以增加圖像之排列成效，因而增加其安全性，其後我們將演算法實現在基於ARM的FPGA-SoC上，並透過FPGA上的Linux操作HPS與FPGA上的溝通，已便控制FPGA加密演算法的運算與影像輸出輸入。當影像加密完成後便利用VGA端口進行即時顯示。
接著我們對密文圖像進行數個安全性分析來以此驗證我們加密演算法的安全性，其中包含直方圖分析、相關性分析、差分攻擊分析、夏儂熵分析及速度分析，從分析結果可以表明我們的加密演算法通過了所有具有通過指標的測試並具有相當的安全性。最後，我們對本論文所提出的加密演算法進行總結並提出未來可以改善的部分。

Due to the ergodicity, sensitivity to initial values, and unpredictability of chaotic systems, they are well-suited for integration with image encryption. Traditional encryption algorithms like DES and TDES are no longer suitable for modern large-scale and transparent network transmissions. To achieve a balance between security and encryption efficiency, this paper designs a new four-dimensional chaotic system for key generation. It then combines AES with encoding to create a highly secure and efficient encryption algorithm. The encryption algorithm is optimized using FPGA's pipelining and parallel computing.
First, the paper performs a performance analysis of the new four-dimensional chaotic system.The analysis results demonstrate the excellent chaotic range and randomness of our new four-dimensional chaotic system. Next, based on the AES-128 encryption algorithm, we combine it with the Bagua encoding architecture and design a novel Five-Element generating and restraining permutation rule. Through multiple rounds of AES-128 encryption, Bagua encoding, and Five-Element permutation, the permutation effectiveness of the image is increased, enhancing its security. Subsequently, the algorithm is implemented on an ARM-based FPGA-SoC, and communication between the Linux operating system on the HPS and the FPGA enables control of the FPGA encryption algorithm's computation and image input/output. Real-time display is achieved through the VGA port after image encryption.
Furthermore, several security analyses are conducted on the encrypted images to validate the security of our encryption algorithm. The analysis results demonstrate that our encryption algorithm passes all the tests and exhibits considerable security. Finally, the paper concludes with a summary of the proposed encryption algorithm and suggestion for future improvement.

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