A New Secret Sharing Scheme Based on Commutative Encrypted Function

With the characteristic that the commutativity of modular exponential function makes the specific order of secret distribution process less important and on basis of the abstruseness of discrete logarithm, this paper proposed a new secret sharing scheme. In the scheme, the participants themselves select the private keys, which can avoid the distributor´s fraud and reduce the distribution´s burden as well as ensure the scheme´s reuse. The credible participants can join in or leave the participants collection at any time without restarting the scheme procedures.