Paper 2014/457
Transcript secure signatures based on modular lattices
Jeff Hoffstein, Jill Pipher, John M. Schanck, Joseph H. Silverman, and 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.
Note: In this revision, we revisit the security of the proposed parameter sets of the NTRUMLS scheme. The re-evaluation of the security is based on an analysis of a hybrid attack on NTRU lattices. We also propose a new set of parameters that are immune to the above cryptanalysis. For a given security level, we increased the dimension of the NTRU lattice, while reducing the modulus q. This gives us a very low acceptance rate (between 2% to 8%) during the rejection sampling phase. This drawback can be mitigated with parallel computation.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Minor revision. PQCRYPTO 2014
- Keywords
- lattice techniquesdigital signatures
- Contact author(s)
- wwhyte @ securityinnovation com
- History
- 2016-04-29: revised
- 2014-06-15: received
- See all versions
- Short URL
- https://ia.cr/2014/457
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2014/457, author = {Jeff Hoffstein and Jill Pipher and John M. Schanck and Joseph H. Silverman and William Whyte}, title = {Transcript secure signatures based on modular lattices}, howpublished = {Cryptology {ePrint} Archive, Paper 2014/457}, year = {2014}, url = {https://eprint.iacr.org/2014/457} }