Published in Volume XV, 2005, pages 161-172

Authors: Sorin IFTENE and Ioana BOUREANU


A secret sharing scheme derives from a given secret
certain shares (or shadows) which are distributed to users. The secret can be recovered
only by certain predetermined groups. In the first secret sharing schemes
only the number of the participants in the reconstruction phase
was important for recovering the secret.
Such schemes have been referred to as
threshold secret sharing schemes. In the weighted threshold secret sharing
schemes, the users do not have the same status. More exactly, a positive
weight is associated to each user and the secret can be reconstructed if and
only if the sum of the weights of all participants is greater than or equal to
a fixed threshold. In this paper we extend the threshold secret sharing
schemes based on the Chinese remainder theorem in order to realize weighted
threshold secret sharing.


  title={Weighted Threshold Secret Sharing Based on the Chinese Remainder Theorem.},
  author={Sorin IFTENE and Ioana BOUREANU},
  journal={Scientific Annals of Computer Science},
  organization={``A.I. Cuza'' University, Iasi, Romania},
  publisher={``A.I. Cuza'' University Press}