Constructing perfect secret sharing schemes for general and uniform access structures

Hung Min Sun, Shiuh-Pyng Shieh

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Abstract

A perfect secret sharing scheme allows a secret K to be shared among a set of participants in such a way that only qualified subsets of participants can recover the secret, and unqualified subsets of participants obtain no information regarding the secret. In this paper, we propose a construction of perfect secret sharing schemes with uniform, generalized access structures of rank 3. Compared with other constructions, our construction has some improved lower bounds on the information rate. In addition, we also generalize the construction to perfect secret sharing schemes with uniform, generalized access structures of constant rank.

Original languageEnglish
Pages (from-to)679-689
Number of pages11
JournalJournal of Information Science and Engineering
Volume15
Issue number5
StatePublished - 1 Sep 1999

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