We study a generalization of perfect hash family, namely separating hash family.

An(N;n,m,w)-perfect hash family is a set F such that for any W(?) X with丨W丨=w,there exists at least one function f∈F,such that f丨_w is injective.

Construction of one-for-one Hash function mapping between permutation group and integral number;

Fragile image watermarking algorithm based on Hash functions;

Improved algorithm of dynamic secret sharing schemes based on Hash function;

Research on Security of Hash Functions;

The Study and Design of the Website Information Survivability System Based on Hash Functions and Automatism Recovery Technology;

All the existed sequential digital multi-signature schemes use Hash and Redundancy functions,so it will take a risk of using Hash functions and Redundancy functions.

Summary of the image is generated through Hash function and the difference matrix of the carrier

Combined with the well-known scheme ECDSA,the design of the presented scheme has no time waste inverse operation through all the process,from key producing,signature calculation to verifying calculation,and use the hamming weight of Hash code of a message instead of Hash code itself to participate in the signature and verifying calculation,which can improve the computation efficiency.

Research on the Fair Exchange Protocol Using Hash Function Chains;