Fair Secret Sharing Scheme Based on RSA Cryptosystem

Liaojun Pang · Jisuanji gongcheng · 2011

Based on RSA cryptosystem,this paper proposes a new(v,t,n) fairness secret sharing scheme.In the scheme,each participant's secret shadow is selected by the participant himself and others do not know anything about his secret shadow.Even if v(vt/2) cheaters exist among the n participants,all participants have equal probability to recover the shared secret.Each participant can share many secrets with other participants fairly by holding only one shadow.The security of the scheme is based on that of RSA cryptosystem and Shamir's(t,n) threshold secret sharing scheme.

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