Rückert, Markus
Lattice-based Blind Signatures
Abstract
Motivated by the need to have secure blind signatures even in the presence of quantum computers, we present two efficient blind signature schemes based on hard worst-case lattice problems. Both schemes are provably secure in the random oracle model and unconditionally blind. The first scheme is based on preimage samplable functions that were introduced at STOC 2008 by Gentry, Peikert, and Vaikuntanathan. The scheme is stateful and runs in 3 moves. The second scheme builds upon the PKC 2008 identification scheme of Lyubashevsky. It is stateless, has 4 moves, and its security is based on the hardness of worst-case problems in ideal lattices.
BibTeX - Entry
@InProceedings{rckert:DSP:2009:2127,
author = {Markus R{\"u}ckert},
title = {Lattice-based Blind Signatures},
booktitle = {Algorithms and Number Theory },
year = {2009},
editor = {Johannes A. Buchmann and John Cremona and Michael E. Pohst},
number = {09221},
series = {Dagstuhl Seminar Proceedings},
ISSN = {1862-4405},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2009/2127},
annote = {Keywords: Blind signatures, post-quantum, lattices, privacy}
}
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Keywords: |
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Blind signatures, post-quantum, lattices, privacy |
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Seminar: |
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09221 - Algorithms and Number Theory
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Issue date: |
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2009 |
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Date of publication: |
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21.08.2009 |