(t, n) threshold secret sharing scheme based on RSA cryptosystem
Yumin Wang · Journal of China Institute of Communications · 2005
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.