Title
Tightly-Secure signatures from lossy identification schemes
Abstract
In this paper we present three digital signature schemes with tight security reductions. Our first signature scheme is a particularly efficient version of the short exponent discrete log based scheme of Girault et al. (J. of Cryptology 2006). Our scheme has a tight reduction to the decisional Short Discrete Logarithm problem, while still maintaining the non-tight reduction to the computational version of the problem upon which the original scheme of Girault et al. is based. The second signature scheme we construct is a modification of the scheme of Lyubashevsky (Asiacrypt 2009) that is based on the worst-case hardness of the shortest vector problem in ideal lattices. And the third scheme is a very simple signature scheme that is based directly on the hardness of the Subset Sum problem. We also present a general transformation that converts, what we term lossy identification schemes, into signature schemes with tight security reductions. We believe that this greatly simplifies the task of constructing and proving the security of such signature schemes.
Year
DOI
Venue
2012
10.1007/978-3-642-29011-4_34
international cryptology conference
Keywords
DocType
Volume
tight reduction,subset sum problem,shortest vector problem,tightly-secure signature,term lossy identification scheme,original scheme,digital signature scheme,signature scheme,computational version,simple signature scheme,tight security reduction
Conference
29
Issue
ISSN
Citations 
3
0302-9743
8
PageRank 
References 
Authors
0.47
51
4
Name
Order
Citations
PageRank
Michel Abdalla1166076.80
Pierre-Alain Fouque21762107.22
Vadim Lyubashevsky3117459.91
Mehdi Tibouchi498955.45