基于RSA密码体制(t,n)门限秘密共享方案

(t, n) threshold secret sharing scheme based on RSA cryptosystem

基于RSA密码体制,提出了一个新的(t,n)门限秘密共享方案。在该方案中,秘密份额由各参与者自己选择,秘密分发者不知道每个参与者所持有的份额,而且秘密份额长度与秘密长度相同。在秘密恢复过程中,每个参与者能够验证其他参与者是否进行了欺骗。每个参与者只需维护一个秘密份额,就可以实现对多个秘密的共享。方案的安全性是基于RSA密码体制和Shamir的(t,n)门限秘密共享方案的安全性。

A new (t, n) threshold secret sharing scheme was proposed, which was based on RSA cryptosystem. In this scheme, each participant’s secret shadow was selected by the participant himself and even the secret dealer did not know anything about his secret shadow. All these shadows were as short as the secret to be shared. In the recovery phase, each participant was allowed to check whether another participant provided the true information or not. Each participant can share many secrets with other participants by holding only one shadow. The security of this scheme is the same as that of the RSA cryptosystem and Shamir’s (t, n) threshold secret sharing scheme.