基於四階混沌遊戲表示結合雙混沌系統和 SHA-256 之量子圖像加密應用於5G物聯網

近年來，互聯網的發展開啟了全球經濟、文化、軍事、教育等領域的新時代，因此人們可以輕鬆實現圖片的傳輸。然而，圖片可能涉及私人或機密信息，一旦洩露可能會造成無法估量的後果，它們也為犯罪分子提供了使用互聯網獲取未經授權數據的渠道。過去文獻大多數只適用於傳統的數字圖片，量子圖片的加密方法很少，所以量子圖片的加密技術也成為了很重要的議題。本研究以 DNA 非受控操作(DNA controlled-not, DNACNot)機制延伸以及改善其方法，我們所提出的研究方法有三個，顯示如下。分別為量子圖像加密結合改善混沌遊戲表示和改善四階 Rossler 方法 (Quantum image encryption combined to improve chaotic game representation and improved fourth-order Rossler system methods, QIE-ICGR-Rossler)、量子圖像加密結合四階混沌遊戲表示和 Lorenz 映射方法 (Quantum image encryption combined to four-dimensional chaotic game representation and improved Lorenz system methods, QIE-4D-CGR-Lorenz)和基於四階混沌遊戲表示結合雙混沌系統和 SHA-256 之量子圖像加密應用於 5G 物聯網(Quantum image encryption combined double chaotic systems with SHA256 based on fourth-order chaotic game representation for 5G Internet of Things, QIE- Double chaos-SHA-256-4D-CGR)。在 QIE-ICGR- Rossler 方法中我們獲取四個自然 DNA 序列並分成兩個一組作為初始參數，並和四組加密參數通過混沌遊戲表示得到 DNACNot 再透過改善 Rossler 系統對圖片作加密。 ii QIE-4D-CGR-Lorenz 方法中提出了四階改善混沌遊戲表示，以四組 DNA 序列計算進一步增加擴散率，而我們提出的 QIE-4D-CGR-Lorenz 方法通過四階改善混沌遊戲表示得到 DNACNot 改善了安全性可以更有效抵抗窮舉、統計和差分攻擊。最後提出了 QIE- Double chaos-SHA-256-4D-CGR 方法延續了 QIE4D-CGR-Lorenz 方法結合了由可變參數 Lorenz 混沌系統和四階 Rossler 超混沌系統組成的雙混沌系統，生成三組用於擴散操作的混沌序列的方法並引入 SHA-256 來保護明文敏感性，對加密結果進行綜合分析，QIEDouble chaos-SHA-256-4D-CGR 方法具有較高的安全性、加密效果好以及密鑰空間大，加密結果可以通過 5G 物聯網傳輸並存儲在雲端，隨時皆能使用所需資料。

關鍵字

量子加密；影像處理； 5G ； DNA ； Lorenz 混沌系統； Rossler 混沌系統

並列摘要

In recent years, the development of the Internet has ushered in a new era in the fields of global economy, culture, military affairs, and education. So people can easily realize the transmission of pictures. However, images may involve private or confidential information. Leaked images can have immeasurable consequences. They also provide a channel for criminals to use the Internet to obtain unauthorized data. Most of the past literature only applies to traditional digital pictures. There are few encryption methods for quantum pictures. Therefore, the encryption technology of quantum pictures has also become a very important topic. This study extends and improves the method of DNA controlled -not (DNACNot) mechanism. We propose three research methods which are shown as follows. Quantum image encryption combined to improve chaotic game representation and improved fourth-order Rossler system methods (QIE-ICGR-Rossler), quantum image encryption combined to fourdimensional chaotic game representation and improved Lo renz system methods (QIE-4D-CGR-Lorenz) and quantum image encryption combined double chaotic systems with SHA-256 based on fourth-order chaotic game representation for 5G internet of things (QIE- Double chaos-SHA-256-4DCGR). iv In the QIE-ICGR-Rossler method, we obtain four natural DNA sequences and divide them into two groups as initial parameters. Furthermore, we express DNACNot with four groups of encryption parameters through chaotic game representation, and the QIE-ICGRRossler method encrypts the image by improving the Rossler system. In the QIE-4D-CGR-Lorenz method, we used a fourth-order chaotic game representation. The QIE-4D-CGR-Lorenz method calculates the diffusion rate further with four sets of DNA sequences. And our proposed QIE-4D-CGR-Lorenz method obtains DNACNot through fourth-order chaotic game representation. It improves the security of the system, besides, it can more effectively resist exhaustive, statistical and differential attacks. Finally, the QIE-Double chaos-SHA-256-4D-CGR method is proposed to improve the QIE-4D-CGR-Lorenz method. We combine a double chaotic systems consisting of a variable-parameter Lorenz chaotic system and a fourth-order Rossler hyperchaotic system. The double chaotic system generates three sets of chaotic sequences for diffusion operation and it introduces SHA-256 to protect the plaintext sensitivity. The experimental results show that the QIE-Double chaos-SHA-256-4D-CGR method has high security, good encryption effect and large key space. The encrypted results can be transmitted via 5G IoT and stored in the cloud. The required data can be used at any time through the cloud.