Welcome to the resource topic for 2014/457
Title:
Transcript secure signatures based on modular lattices
Authors: Jeff Hoffstein, Jill Pipher, John M. Schanck, Joseph H. Silverman, William Whyte
Abstract:We introduce a class of lattice-based digital signature schemes based on modular properties of the coordinates of lattice vectors. We also suggest a method of making such schemes transcript secure via a rejection sampling technique of Lyubashevsky (2009). A particular instantiation of this approach is given, using NTRU lattices. Although the scheme is not supported by a formal security reduction, we present arguments for its security and derive concrete parameters (first version) based on the performance of state-of-the-art lattice reduction and enumeration tech- niques. In the revision, we re-evaluate the security of first version of the parameter sets, under the hybrid approach of lattice reduction attack the meet-in-the-middle attack. We present new sets of parameters that are robust against this attack, as well as all previous known attacks.
ePrint: https://eprint.iacr.org/2014/457
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