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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Improved Short Lattice Signatures in the Standard Model
verfasst von : Léo Ducas, Daniele Micciancio
Erschienen in: Advances in Cryptology – CRYPTO 2014
Verlag: Springer Berlin Heidelberg
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We present a signature scheme provably secure in the standard model (no random oracles) based on the worst-case complexity of approximating the Shortest Vector Problem in ideal lattices within polynomial factors. The distinguishing feature of our scheme is that it achieves
short
signatures (consisting of a single lattice vector), and
relatively short
public keys (consisting of
O
(log
n
) vectors.) Previous lattice schemes in the standard model with similarly
short
signatures, due to Boyen (PKC 2010) and Micciancio and Peikert (Eurocrypt 2012), had substantially longer public keys consisting of Ω(
n
) vectors (even when implemented with ideal lattices).