NDLI: Tightly Secure Signatures From Lossy Identification Schemes

Content Provider	Springer Nature Link
Author	Abdalla, Michel Fouque, Pierre Alain Lyubashevsky, Vadim Tibouchi, Mehdi
Copyright Year	2015
Abstract	In this paper, we present three digital signature schemes with tight security reductions in the random oracle model. Our first signature scheme is a particularly efficient version of the short exponent discrete log-based scheme of Girault et al. (J Cryptol 19(4):463–487, 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 (Advances in Cryptology—ASIACRYPT 2009, vol 5912 of Lecture Notes in Computer Science, pp 598–616, Tokyo, Japan, December 6–10, 2009. Springer, Berlin, 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.
Starting Page	597
Ending Page	631
Page Count	35
File Format	PDF
ISSN	09332790
Journal	Journal of Cryptology
Volume Number	29
Issue Number	3
e-ISSN	14321378
Language	English
Publisher	Springer US
Publisher Date	2015-03-25
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Signature schemes Tight reductions Fiat-Shamir Coding and Information Theory Computational Mathematics and Numerical Analysis Combinatorics Probability Theory and Stochastic Processes Communications Engineering, Networks
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computer Science Applications Software

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