门限秘密共享及其典型应用

摘要

Since secret sharing technology is an important branch in cryptography,it has plenty of research results in theory and application currently. (k,n) threshold secret sharing scheme divides secret information into n meaningless sub⁃secrets. Threshold secret information owns at least k sub⁃secrets,secret information can be recovered and its security can be enhanced greatly. On the basis of introducing the basic threshold secret sharing schemes,the typical applications in several important branches of cryptography,such as digital signature,based on identity encryption,based on attribute encryption and image en⁃cryption are concluded and summarized completely. Current problems of these applications are analyzed,and future research trends are prospected.%秘密共享技术是密码学的重要分支，目前已经有了大量的理论与应用研究成果。（k，n）门限秘密共享方案将秘密信息分成n份无意义的子秘密，只有拥有至少k份子秘密才能恢复秘密信息，可以有效提升其安全性。在介绍了基本的门限秘密共享方案的基础上，对其在密码学几个重要分支如数字签名、基于身份加密、基于属性加密以及图像加密中的典型应用进行了全面的归纳与总结，分析了当前存在的问题，并对未来的研究趋势进行展望。