In a multi-secret sharing scheme, several secret values are distributed among a set of n participants.In 2000 Chien et al.'s proposed a (t; n) multi-secret sharing scheme. Many storages and publicvalues required in Chien's scheme. Motivated by these concerns, some new (t; n) multi-secret sharingschemes are proposed in this paper based on the Lagrange interpolation formula for polynomials andcip...

In verifiable multi-secret sharing schemes (VMSSs), many secrets can be shared but only one share is kept by each user and this share is verifiable by others. In this paper, we propose two secure, efficient, and verifiable (t, n) multi-secret sharing schemes, namely Scheme-I and Scheme-II. Scheme-I is based on the Lagrange interpolating polynomial and the LFSR-based public key cryptosystem. The...

Consider a set of parties who do not trust each other but want to compute some agreed function of their inputs in a secure way. This problem is known as multi-party computation. It has various interesting applications including election over the internet, electric contracts, private and secret database, joint signatures, and others. A number of techniques for the problem have been proposed. Sec...

This dissertation deals with three most important as well as fundamental problems in secure distributed computing, namely Verifiable Secret Sharing (VSS), Byzantine Agreement (BA) and Multiparty Computation (MPC). VSS is a two phase protocol (Sharing and Reconstruction) carried out among n parties in the presence of a centralized adversary who can corrupt up to t parties. Informally, the goal o...

Article history: Received 15 September 2008 Received in revised form 16 February 2009 Accepted 20 April 2009