Secret sharing schemes with detection of cheaters for a general access structure
type: Item
instance of: scholarly article
title: Secret sharing schemes with detection of cheaters for a general access structure
zbMATH Open document ID: 1010.94011
DOI: 10.1023/A:1013856431727
author: S. Cabello
author: Carles Padró
author: Germán Sáez
published in: Designs, Codes and Cryptography
publication date: 2002-05-28T00:00:00Z
review text: Some methods to construct secret sharing schemes with detection of cheaters are presented. The robust and secure schemes presented improve previous proposals in several aspects. The most important improvement is that the method in this paper provides robust and secure schemes for any given access structure, while in previous proposals only threshold or vector space access structures were considered. Besides, in most cases, the robust and secure schemes given present a better relation between the probability of cheating and the information rate than in earlier proposals. In particular, when applied to vector space access structures, the constructions given in this paper provide robust and secure schemes with almost optimal information rate. The paper concludes with some open problems arising from the results in this paper.
reviewed by: Bai Kishan Dass
Mathematics Subject Classification ID: 94A62
zbMATH DE Number: 1746299
zbMATH Keywords: robust schemes
zbMATH Keywords: secret sharing schemes
zbMATH Keywords: detection of cheaters
zbMATH Keywords: secure schemes
MaRDI profile type: Publication
full work available at URL: a:1013856431727
OpenAlex ID: W1499043776
description: scientific article; zbMATH DE number 1746299