| 对线性幺正光学加密系统的选择明文攻击 |
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| 作者姓名： | 苗栋 马锐 孙鑫凯 史祎诗 |
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| 作者单位： | 1.中国科学院大学光电学院, 北京 100049;2.中国科学院大学数学科学学院, 北京 100049 |
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| 基金项目： | 中国科学院科教融合项目、中国科学院大学优秀青年教师科研能力提升项目、中国科学院青年创新促进会（2017489）和国家自然科学基金（62131011）资助 |
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| 摘 要： | 光学加密是现代数字光学的一大重要分支.基于4F系统的双随机相位加密和菲涅尔域的双随机加密是最有代表性的两大经典系统.虽然这2个系统均为线性加密系统,但是目前对于这2个系统的攻击基本上是依靠相位恢复的迭代算法去尝试破解系统密钥从而攻破系统,对利用线性性质直接重构置乱映射的攻击方式鲜有报道.这是由于这两大加密系统除具有线性...
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| 关 键 词： | 光学加密 选择明文攻击 双随机相位加密 子空间投影 量子表象理论 幺正光学系统 |
| 收稿时间： | 2020-03-19 |
| 修稿时间： | 2020-04-23 |
Chosen-plaintext attack to linear unitary optical encryption systems |
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| Authors: | MIAO Dong MA Rui SUN Xinkai SHI Yishi |
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| Institution: | 1.School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China;2.School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | The study of optical encryption algorithm has become an important part of optics research today. Double random phase encoding (DRPE) in 4F system and in Fresnel domain are two typical cryptosystems. In spite of the fact that these two cryptosystems are both linear cryptosystems, the attacks on both systems are usually based on iterative phase retrieve algorithm. These crack algorithms mainly focus on the decipher of the key in the cryptosystem and seldom aim to construct the linear scrambling mapping the whole system stands for. This because one essential nature of these cryptosystems has been neglected for long time, the unitarity. With the condition of unitarity,optical attack theory can be independent from Kerckhoff' s rule and the public knowledge of the cryptosystem become irrelevant to attack algorithm. The complexity of the encryption system will not have any influence on the computation amount and crack result which is not the case in other attack algorithms. Thusly, we proposed a new method of subspace projection optical chosen-plaintext attack based on the linear and unitary nature of DPRE system, and it should fit for any linear unitary optical cryptosystems have been proposed and about to be proposed. We bring Dirac state vector and its representation linear algebra theory into our work for convenience as the Dirac state vector can stands for optical wavefront equally. |
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| Keywords: | optical encryption chosen-plaintext attack double random phase encoding subspace projection quantum representation theory unitary optical system |
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