一个基于几何性质的(t,n)多重秘密共享方案  

A (t, n) Multi-Secret Sharing Scheme Based on Geometric Property

作　　者：庞辽军[1] 王育民[1] 

机构地区：[1]西安电子科技大学综合业务网国家重点实验室,西安710071

出　　处：《西安交通大学学报》2005年第4期425-428,共4页Journal of Xi'an Jiaotong University

基　　金：国家重点基础研究发展规划资助项目(G1999035804).

摘　　要：针对Wu He方案需要秘密分发者为每个参与者分发大量的秘密信息的不足,利用双变量单向函数和公开偏移向量技术对Wu He方案进行了改进,提出了一种基于几何方法的(t, n)门限多重秘密共享算法,通过一次秘密共享过程就可以实现对t-1个秘密的共享.在秘密重构过程中,每个合作的参与者只需提交一个由秘密份额计算的伪份额,而不必披露他的秘密份额,从而提高了秘密信息的利用率和秘密分发的效率,降低了系统的通信和存储复杂度.Based on a geometric approach using the two-variable one-way function and the public shift vector technique, a (t, n) threshold multi-secret sharing scheme was presented to overcome Wu-He scheme's drawback that it is required for the secret dealer to distribute lots of secret information to each participant. Through a secret sharing session, (t-1) secrets instead of only one secret can be shared simultaneously. In the recovery phase, each cooperative participant is only required to submit a pseudo-share computed from secret share without exposing its secret share. Therefore, the secret information is fully used, and thus the efficiency of the secret distribution can be improved and the complexity of communication and storage can be reduced largely.

关 键 词：秘密共享 多重秘密共享 单向函数 

分 类 号：TN918.4[电子电信—通信与信息系统]