Security(t,n) threshold digital signature scheme

Threshold digital signature scheme is such a signature scheme that was mainly applies to the situation that we need to share the signing right to the group members through threshold method.Threshold digital signature scheme is the product of the general digital signature scheme with the threshold secret sharing scheme.In this thesis,we trace the newest result and trend of the threshold signature,analyze the current schemes.And finally,we introduce a verified and anti-fraud secret sharing scheme briefly.Then,in applying cryptography and knowledge of number theory,we give a new secure threshold digital signature scheme based on the above programs.The new program has a unique security feature,and makes communications and computing performance more effectively at the same time.The scheme has simple system initialization and structure,less computing complexity of the verification,less communication cost,and better security and practical value in transmission and treatment for security threshold digital signature scheme in the network.