Paper 2016/177
Reduced Memory Meet-in-the-Middle Attack against the NTRU Private Key
Christine van Vredendaal
Abstract
NTRU is a public-key cryptosystem introduced at ANTS-III. The two most used techniques in attacking the NTRU private key are meet-in-the-middle attacks and lattice-basis reduction attacks. In the 2007 CRYPTO paper ``A Hybrid Lattice-Reduction and Meet-in-the-Middle Attack Against NTRU'' both techniques are combined and it is pointed out that the largest obstacle to attacks is the memory capacity that is required for the meet-in-the-middle phase. In this paper an algorithm is presented that applies low-memory techniques to find `golden' collisions to Odlyzko's meet-in-the-middle attack against the NTRU private key. Several aspects of NTRU secret keys and the algorithm are analysed. The running time of the algorithm with a maximum storage capacity of $w$ is estimated and experimentally verified. Experiments indicate that decreasing the storage capacity by a factor $c$ increases the running time by a factor $\sqrt{c}$.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- cryptanalysisNTRUmeet-in-the-middle attackcollision search
- Contact author(s)
- c v vredendaal @ tue nl
- History
- 2016-02-22: received
- Short URL
- https://ia.cr/2016/177
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2016/177,
author = {Christine van Vredendaal},
title = {Reduced Memory Meet-in-the-Middle Attack against the NTRU Private Key},
howpublished = {Cryptology ePrint Archive, Paper 2016/177},
year = {2016},
note = {\url{https://eprint.iacr.org/2016/177}},
url = {https://eprint.iacr.org/2016/177}
}
