基于RSA的矢量地图非对称无损加密算法  

An Asymmetric Lossless Encryption Algorithm for Vector Maps Based on RSA

作　　者：谭涛 张黎明 闫浩文 张新长 邓敏[3] TAN Tao;ZHANG Liming;YAN Haowen;ZHANG Xinchang;DENG Min(Faculty of Geomatics,Lanzhou Jiaotong University,Lanzhou 730070;School of Geography and Remote Sensing,Guangzhou University,Guangzhou 510006;School of Geosciences and Info-Physics,Central South University,Changsha 410083,China)

机构地区：[1]兰州交通大学测绘与地理信息学院,甘肃兰州730070 [2]广州大学地理科学与遥感学院,广东广州510006 [3]中南大学地球科学与信息物理学院,湖南长沙410083

出　　处：《地理与地理信息科学》2024年第6期45-50,共6页Geography and Geo-Information Science

基　　金：国家自然科学基金项目(42271430、41761080);甘肃高等学校产业支撑引导项目(2019C-04)。

摘　　要：目前矢量地图加密算法主要采用对称加密,加密和解密采用相同密钥,导致密钥存在泄露风险;而非对称加密需要对数据进行整数化,会影响数据精度。针对上述问题,该文提出一种基于RSA的矢量地图非对称无损加密算法。首先,对矢量地图坐标值的整数部分进行动态选取,运用RSA算法对选取的数据进行非对称加密;然后,使用SHA-512生成混沌系统的密钥,利用混沌系统对非对称加密后的矢量地图坐标点进行置乱重组,实现一图一密的加密效果。实验结果表明,该算法可以对所有类型的矢量地图进行加密和无损解密,在保证数据完整性和精度的同时,提高了安全性,且该算法也适用于三维点云、倾斜摄影三维模型等地理空间数据类型的加密。Currently,vector map encryption algorithms predominantly rely on symmetric key encryption,which poses significant risks due to potential key leakage.On the other hand,existing asymmetric encryption algorithms,although offering enhanced key security,require the conversion of data into integer form before encryption,which can compromise the precision and accuracy of the original vector map data.To address these issues,this paper introduces a novel asymmetric lossless encryption algorithm for vector maps based on the RSA algorithm.The proposed algorithm begins by dynamically selecting the integer part of the coordinate values from the vector map.These selected values are then encrypted asymmetrically using RSA,ensuring both security and data integrity.To further enhance the encryption process,SHA-512 is employed to generate a key for a chaotic system.This chaotic system is subsequently used to reorganize the point coordinates of the already encrypted vector map,achieving a one-map,one-ciphertext encryption model.Experimental results demonstrate that the proposed algorithm is capable of encrypting and lossless decrypting various types of vector maps without any data distortion.Furthermore,the algorithm is versatile and can be applied to other types of geospatial data,including 3D point clouds and oblique photography 3D models,making it a robust solution for a wide range of geospatial encryption needs.

关 键 词：非对称加密 RSA SHA-512 无损性 矢量地图 

分 类 号：P208[天文地球—地图制图学与地理信息工程] TP309.7[天文地球—测绘科学与技术]