Abstract:

Based on the practical requirements of the electronic bidding system , the concept of special threshold secret sharing is proposed , which owns the features and properties of that the designated person must participate , that a group acts as a unit , or that the designated group must participate. Corresponding to the actual requirements , some secret sharing algorithms are designed to solve the practical problems by adopting the multi-threshold method based on Shamir's secret sharing principle , which include the one that the designated person must participate , the one that a group acts as a unit , and the one that the designated group must participate. It is shown by theoretical analysis that the proposed algorithms are secure and effective. Moreover , the designed algorithms are practically applied to an electronic bidding system. The results indicate that the system runs stably and the algorithm works efficiently.

Key words: secret sharing, threshold CIγptography, special threshold secret sharing, electronic bidding