Secret sharing scheme without dealer in vector space
基于向量空间上的无分发者的秘密共享方案*

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.