AbstractIn the history of secret sharing schemes many constructions are based on geometric objects. In this paper we investigate generalizations of threshold schemes and related finite geometric structures. In particular, we analyse compartmented and hierarchical schemes, and deduce some more general results, especially bounds for special arcs and novel constructions for conjunctive 2-level and 3-level hierarchical schemes.
A NEW APPROACH TO CONSTRUCT (K, N) THRESHOLD SECRET SHARING SCHEMES BASED ON FINITE FIELD EXTENSION
