Estimating Key Sizes For High Dimensional Lattice-Based Systems

Joop van de Pol; Nigel P.  Smart

Paper 2013/630

Estimating Key Sizes For High Dimensional Lattice-Based Systems

Joop van de Pol and Nigel P. Smart

Abstract

We revisit the estimation of parameters for use in applications of the BGV homomorphic encryption system, which generally require high dimensional lattices. In particular, we utilize the BKZ-2.0 simulator of Chen and Nguyen to identify the best lattice attack that can be mounted using BKZ in a given dimension at a given security level. Using this technique, we show that it should be possible to work with lattices of smaller dimensions than previous methods have recommended, while still maintaining reasonable levels of security. As example applications we look at the evaluation of AES via FHE operations presented at Crypto 2012, and the parameters for the SHE variant of BGV used in the SPDZ protocol from Crypto 2012.

Note: Added DOI.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Minor revision. IMA International Conference on Cryptography and Coding
DOI: 10.1007/978-3-642-45239-0_17
Keywords: lattice techniques cryptanalysis bkz
Contact author(s): joop vandepol @ bristol ac uk
History: 2014-02-11: revised; 2013-09-30: received; See all versions
Short URL: https://ia.cr/2013/630
License: CC BY

BibTeX

@misc{cryptoeprint:2013/630,
      author = {Joop van de Pol and Nigel P.  Smart},
      title = {Estimating Key Sizes For High Dimensional Lattice-Based Systems},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/630},
      year = {2013},
      doi = {10.1007/978-3-642-45239-0_17},
      url = {https://eprint.iacr.org/2013/630}
}