Based on the bidimensional cellular automata,a new secret image sharing scheme is proposed in this paper.

To solve these problems existed in those, compressible image shaing and multi-secret images sharing based on matrix multiplication have been designed in the dissertation, of which the contributions are as follows:1.

Verifiable secret sharing scheme based on the Mignotte sequence;

An efficient(t,n) threshold multi-secret sharing scheme;

Security analysis for proactive secret sharing system;

Security research of secret sharing schemes based on Hash function;

Because of the price bottle-neck,efficiency of the auctions is affected by the price bottle-neck very much,this paper presents a new secure efficient electronic auction using knapsack theory and secret sharing scheme.

This scheme combines the mechanism of the vector space secret sharing scheme with that of multisignature.

Design scheme of intrusion tolerance database based on threshold secret share;

A novel distributing survivability system is proposed based on immune principle and secret share.

Fingerprint achieved data confidentiality,integrity and availability by secret share.

One important application of public key cryptosystem is digital signature, and signature scheme based on sharing secret is a good method to enhance the security of signature system.