Some improved bounds on the information rate of perfect secret sharing schemes
Journal of Cryptology
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
On the information rate of perfect secret sharing schemes
Designs, Codes and Cryptography
Communications of the ACM
Generalized Secret Sharing and Monotone Functions
CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
On the Size of Shares for Secret Sharing Schemes
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
New General Lower Bounds on the Information Rate of Secret Sharing Schemes
CRYPTO '92 Proceedings of the 12th Annual International Cryptology Conference on Advances in Cryptology
Coding and Information Theory
Hi-index | 0.00 |
A secret sharing scheme for the prohibited structure is a method of sharing a master key among a finite set of participants in such a way that only certain pre-specified subsets of participants cannot recover the master key. A secret sharing scheme is called perfect if any subset of participants who cannot recover the master key obtains no information regarding the master key. In this paper, we propose an efficient construction of perfect secret sharing schemes for graph-based prohibited structures where a vertex denotes a participant and an edge does a pair of participants who cannot recover the master key. The information rate of our scheme is 2/n, where n is the number of participants.