Generalized threshold secret sharing and finite geometry

Peter Ligeti, Peter Sziklai, Marcella Takáts
2021 Designs, Codes and Cryptography  
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.
doi:10.1007/s10623-021-00900-9 fatcat:dtplclqqcfepxlcwhx5pbdfdku