International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 26 June 2014

Léo Ducas, Daniele Micciancio
ePrint Report ePrint Report
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). We also present a variant of our scheme that further reduces the public

key size to just O(log log n) vectors and allows for a tighther security proof by making the signer stateful.

Expand

Additional news items may be found on the IACR news page.