A holographic optical communication system based on RSA algorithm and quaternion function  

基于四元数扩展的RSA算法的全息光通信系统

作　　者：YANG Peng HAN Jianning 杨鹏;韩建宁(太原工业学院电子工程系,山西太原030008;中北大学信息与通信工程学院,山西太原030051)

机构地区：[1]Department of Electronic Engineering,Taiyuan Institute of Technology,Taiyuan 030008,China [2]School of Information and Communication Engineering,North University of China,Taiyuan 030051,China

出　　处：《Journal of Measurement Science and Instrumentation》2024年第3期338-343,共6页测试科学与仪器（英文版）

基　　金：supported by Young Academic Leaders Program of Taiyuan Institute of Technology(No.2022XS06);Scientific Research Funding Project of Taiyuan Institute of Technology(Nos.2022LJ028,2022KJ103).

摘　　要：A facile encryption way was successfully applied to the holographic optical encryption system with high speed,multidimensionality,and high capacity,which provided a better security solution for underwater communication.The reconstructed optical security system for information transmission was based on wavelengthλand focal length f that were keys to encryption and decryption.To finish the secure data transmission(λ,f)between sender and receiver,an extended Rivest-Shamir-Adleman(ERSA)algorithm for the encryption was achieved based on three-dimension quaternion function.Therein,the Pollard’s rho method was used for the evaluation and comparison of RSA and ERSA algorithms.The results demonstrate that the message encrypted by the ERSA algorithm has better security than that by RSA algorithm in the face of unpredictability and complexity of information transmission on the unsecure acoustic channel.针对目前水下光通信安全难题,提出了一种具有高速、多维、大容量等诸多优点的新型全息光学加密系统。该系统将光学传播波长λ和傅里叶透镜焦距f作为构建安全数据传输、实现加密和解密过程的关键秘钥。为确保发送方和接收方数据传输的安全性,基于三维四元数函数实现了扩展RSA(Extended RSA,ERSA)的加密过程。最后,采用Pollard’s Rho方法评估了RSA算法和ERSA算法的安全性。结果表明,针对不安全声信道上传输消息的不可预测性和复杂性问题,ERSA算法加密比RSA算法加密具有更高的安全性。

关 键 词：HOLOGRAPHY QUATERNION Fourier lens extended Rivest-Shamir-Adleman(ERSA) Pollard’s rho method 

分 类 号：TN929.1[电子电信—通信与信息系统]