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TCC
2007
Springer
89views Cryptology» more  TCC 2007»
13 years 11 months ago
On Secret Sharing Schemes, Matroids and Polymatroids
Abstract. 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 Brick...
Jaume Martí-Farré, Carles Padr&oacut...
TCC
2009
Springer
151views Cryptology» more  TCC 2009»
14 years 5 months ago
Secret Sharing and Non-Shannon Information Inequalities
The known secret-sharing schemes for most access structures are not efficient; even for a one-bit secret the length of the shares in the schemes is 2O(n) , where n is the number of...
Amos Beimel, Ilan Orlov
CISC
2007
Springer
108views Cryptology» more  CISC 2007»
13 years 8 months ago
Verifiable Multi-secret Sharing Schemes for Multiple Threshold Access Structures
A multi-secret sharing scheme allows several secrets to be shared amongst a group of participants. In 2005, Shao and Cao developed a verifiable multi-secret sharing scheme where e...
Christophe Tartary, Josef Pieprzyk, Huaxiong Wang
CRYPTO
2005
Springer
127views Cryptology» more  CRYPTO 2005»
13 years 10 months ago
Black-Box Secret Sharing from Primitive Sets in Algebraic Number Fields
A black-box secret sharing scheme (BBSSS) for a given access structure works in exactly the same way over any finite Abelian group, as it only requires black-box access to group o...
Ronald Cramer, Serge Fehr, Martijn Stam
INDOCRYPT
2003
Springer
13 years 10 months ago
On Multiplicative Linear Secret Sharing Schemes
We consider both information-theoretic and cryptographic settings for Multi-Party Computation (MPC), based on the underlying linear secret sharing scheme. Our goal is to study the ...
Ventzislav Nikov, Svetla Nikova, Bart Preneel