Title
( t,n) multi-secret sharing scheme extended from Harn-Hsu’s scheme
Abstract
Multi-secret sharing scheme has been well studied in recent years. In most multi-secret sharing schemes, all secrets must be recovered synchronously; the shares cannot be reused any more. In 2017, Harn and Hsu proposed a novel and reasonable feature in multiple secret sharing, such that the multiple secrets should be reconstructed asynchronously and the recovering of previous secrets do not leak any information on unrecovered secrets. Harn and Hsu also proposed a (t,n) multi-secret sharing scheme that satisfies this feature. However, the analysis on Harn-Hsu’s scheme is wrong, and their scheme fails to satisfy this feature. If one secret is reconstructed, all the other unrecovered secrets can be computed by any t − 1 shareholders illegitimately. Another problem in Harn-Hsu’s work is that the parameters are unreasonable which will be shown as follows. In this paper, we prove the incorrectness of Harn-Hsu’s scheme and propose a new (t,n) multi-secret sharing scheme which is extended from Harn-Hsu’s scheme; our proposed scheme satisfies the feature introduced by Harn and Hsu.
Year
DOI
Venue
2018
10.1186/s13638-018-1086-5
EURASIP Journal on Wireless Communications and Networking
Keywords
Field
DocType
Secret sharing scheme,Multiple secrets,Asynchronous,Bivariate polynomial
Asynchronous communication,Secret sharing,Computer science,Computer network,Theoretical computer science,Bivariate polynomials
Journal
Volume
Issue
ISSN
2018
1
1687-1499
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
Tong Zhang15318.56
Xizheng Ke2273.56
Yan-Xiao Liu3678.68