Dynamic threshold based Secret Sharing Scheme using polynomial function

In this paper, we will study the question of performing arbitrary updates in secret sharing schemes when shares of unaffected parties shall remain unchanged. We will introduce a zonal transformation matrix in the lifetime of secret sharing schemes to simplify constructions of multitime secret sharing schemes and propose management models that allow unlimited updates from arbitrary schemes without need for broadcasts. As an example, we give an efficient implementation bases on Shamir’s threshold scheme which is ideal from a shareholder’s point of view. KeywordsSecret sharing, management models, multi-time sharing, Threshold schemes, zonal transformation matrix.