Lattice mixing and vanishing trapdoors : a framework for fully secure short signatures and more

Boyen, Xavier (2010) Lattice mixing and vanishing trapdoors : a framework for fully secure short signatures and more. Lecture Notes in Computer Science, 6056, pp. 499-517.

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Abstract

We propose a framework for adaptive security from hard random lattices in the standard model. Our approach borrows from the recent Agrawal-Boneh-Boyen families of lattices, which can admit reliable and punctured trapdoors, respectively used in reality and in simulation. We extend this idea to make the simulation trapdoors cancel not for a specific forgery but on a non-negligible subset of the possible challenges. Conceptually, we build a compactly representable, large family of input-dependent “mixture” lattices, set up with trapdoors that “vanish” for a secret subset which we hope the forger will target. Technically, we tweak the lattice structure to achieve “naturally nice” distributions for arbitrary choices of subset size. The framework is very general. Here we obtain fully secure signatures, and also IBE, that are compact, simple, and elegant.

Impact and interest:

47 citations in Scopus
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45 citations in Web of Science®

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ID Code: 69179
Item Type: Journal Article
Refereed: Yes
Additional Information: Proceedings of the 13th International Conference on Practice and Theory in Public Key Cryptography, Paris, France, May 26-28, 2010.
Keywords: Data Encryption , Systems and Data Security
DOI: 10.1007/978-3-642-13013-7_29
ISSN: 1611-3349 (online) 0302-9743(print)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2010 International Association for Cryptologic Research
Copyright Statement: Author's Pre-print: author can archive pre-print (ie pre-refereeing)
Author's Post-print: author can archive post-print (ie final draft post-refereeing)
Publisher's Version/PDF: author cannot archive publisher's version/PDF
Deposited On: 25 Mar 2014 22:55
Last Modified: 21 Jul 2014 05:07

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