基于向量空间上的无分发者的秘密共享方案*

将Harn和Lin提出的（n,t,n）秘密共享方案的思想应用到向量空间秘密共享方案，利用向量空间秘密共享方案（+，+）同态性质，提出了一个基于向量空间上的无分发者的秘密共享方案。新方案中每个参与者也是分发者，主秘密由每个分发者的子秘密决定，避免了秘密由一个分发者选择、分发，而造成分发者权利过大的问题；且新方案适用于向量空间访问结构，较（n,t,n）秘密共享方案相比更具一般性，应用范围更广。

Secret sharing scheme without dealer in vector space

The idea of (n,t,n) secret sharing scheme, which was proposed by Harn and Lin, was generalized to secret sharing scheme in vector space,and based on the (+,+) homomorphism property of secret sharing scheme in vector space,proposed a secret sharing scheme without dealer in vector space. In this new scheme, each participant also acted as a dealer. This avoided the problem that a secret was chosen and distributed by a dealer so that the dealer had too much powerful right. Furthermore,the scheme was suited to the vector space access structure. Compared with the (n,t,n) secret sharing scheme, the new scheme was more general and is applied more widely.