Publicly Verifiable Secret Sharing with Enrollment Ability

Publicly verifiable secret sharing plays an important role in escrow-cryptosystems, electronic voting and other applications. In this paradigm, not only the shareholder himself but also everybody can verify the correctness of his share. Unfortunately, in a normal publicly verifiable secret sharing, new members can´t enroll the system according to the need of actual circumstance because the normal publicly verifiable secret sharing has no this ability. In this paper, a publicly verifiable secret sharing with enrollment ability scheme is proposed. The scheme can provide a share to an enrolling member without exposing the secret and other shares. What´s more, because the dishonest behavior of old shareholders can be detected, the new player can verify whether his share is right or not. Using some simple methods, the scheme can be more secure and efficient.