基于ECC的门限秘密共享方案及其安全性

基于椭圆曲线密码体制，提出 一个新的(t,n)门限秘密共享方案．该方案使用各参与者的私钥作为他们的秘密份额，秘密分发者不需要进行秘密份额的分配．在秘密分发过程中，秘密分发者只需计算一些公开信息，而无需向各参与者传递任何信息．在秘密重构过程中，每个合作的参与者只需向秘密计算者提交一个由秘密份额计算的、可验证的伪份额．由于无需可信中心管理参与者密钥，且在秘密分发阶段无需任何秘密通信，因此，该方案具有良好的安全性和执行效率．

Threshold secret sharing scheme based on ECC and its security

Based on elliptic curve cryptography,a novel(t,n) threshold secret sharing scheme is proposed.Each participant's private-key is used as his secret shadow and the secret dealer does not have to distribute each participant's secret shadow.In the secret distribution phase,the dealer only needs to compute some public values without sending any information to each participant.And in the secret recovery phase,each cooperative participant only needs to submit a verifiable pseudo-shadow instead of his secret shadow.The trusted center to manage participants' keys is eliminated and no secret communication is required in the secret distribution phase,so the scheme is characterized by excellent security as well as high efficiency.