Ideal multipartite secret sharing schemes

O Farràs, J Martí-Farré, C Padró - Journal of cryptology, 2012 - Springer
Multipartite secret sharing schemes are those having a multipartite access structure, in
which the set of participants is divided into several parts and all participants in the same part …

[HTML][HTML] Secret-sharing schemes for very dense graphs

A Beimel, O Farràs, Y Mintz - Journal of Cryptology, 2016 - Springer
A secret-sharing scheme realizes a graph if every two vertices connected by an edge can
reconstruct the secret while every independent set in the graph does not get any information …

On secret sharing schemes, matroids and polymatroids

J Martí-Farré, C Padró - Theory of Cryptography Conference, 2007 - Springer
One of the main open problems in secret sharing is the characterization of the access
structures of ideal secret sharing schemes. As a consequence of the results by Brickell and …

[HTML][HTML] Hypergraph decomposition and secret sharing

G Di Crescenzo, C Galdi - Discrete Applied Mathematics, 2009 - Elsevier
A secret sharing scheme is a protocol by which a dealer distributes a secret among a set of
participants in such a way that only qualified sets of them can reconstruct the value of the …

Совершенные схемы разделения секрета

НГ Парватов - Прикладная дискретная математика, 2008 - cyberleninka.ru
В теории разделения секрета рассматривается задача, которую неформально можно
поставить следующим образом. Требуется разделить значение секрета из некоторого …

Secret sharing schemes for dense forbidden graphs

A Beimel, O Farràs, N Peter - … on Security and Cryptography for Networks, 2016 - Springer
A secret-sharing scheme realizes a given graph if every two vertices connected by an edge
can reconstruct the secret and every independent set in the graph does not get any …

Ideal secret sharing schemes whose minimal qualified subsets have at most three participants

J Martí-Farré, C Padró - Designs, Codes and Cryptography, 2009 - Springer
One of the main open problems in secret sharing is the characterization of the access
structures of ideal secret sharing schemes. Brickell and Davenport proved that every one of …

Secret sharing schemes for ports of matroids of rank 3

O Farràs - Kybernetika, 2020 - dml.cz
A secret sharing scheme is ideal if the size of each share is equal to the size of the secret.
Brickell and Davenport showed that the access structure of an ideal secret sharing scheme …

Ideal secret sharing schemes on graph-based -homogeneous access structures

S Janbaz, B Bagherpour, A Zaghian - Transactions on Combinatorics, 2021 - toc.ui.ac.ir
‎ The characterization of the ideal access structures is one of the main open problems in
secret sharing and is important from both practical and theoretical points of views‎.‎ A graph …

Об однородных матроидах и блок-схемах

НВ Медведев, СС Титов - Прикладная дискретная математика …, 2017 - cyberleninka.ru
Работа посвящена вопросам, связанным с разграничением доступа посредством
идеальных совершенных схем разделения секрета и матроидов. Рассматриваются …