Secret sharing schemes on access structures with intersection number equal to one

Secret Sharing Schemes on Access Structures with Intersection Number Equal to One

The characterization of ideal access structures and the search for bounds on the optimal information rate are two important problems in secret sharing. These problems are studied in this paper for access structures with intersection number equal to one, that is, access structures such that there is at most one participant in the intersection of any two different minimal qualified subsets. The m...

Secret Sharing Schemes on Access Structures With Intersection Number Equal To One

Secret sharing schemes for Multipartite access structures

Information security has become much more important since electronic communication is started to be used in our daily life. The content of the term information security varies according to the type and the requirements of the area. Secret sharing schemes are introduced to solve the problems for securing sensitive information. In this paper, we review our proposed hierarchical and compartmented ...

On Multiplicative Secret Sharing Schemes Realizing Graph Access Structures

In this paper we consider graph access structures and we show that such an access structure can be realized by a (strongly) multiplicative monotone span program if and only if the privacy structure contains at least three (resp. four) maximal sets. Thus, we obtain a new family of access structures with an explicit construction that is both ideal and strongly multiplicative. Until now only three...

Ideal secret sharing schemes with multipartite access structures

The concept of quasi-threshold multipartite access structures for secret sharing schemes is introduced. These access structures allow one distinguished class of participants to retain control over the reconstruction of the secret, while allowing flexibility over the quorum of participants from other classes. While ideal bipartite access structures have been classified, the case for multipartite...