Which Ring Based Somewhat Homomorphic Encryption Scheme is Best?

Anamaria Costache; Nigel P.  Smart

Paper 2015/889

Which Ring Based Somewhat Homomorphic Encryption Scheme is Best?

Anamaria Costache and Nigel P. Smart

Abstract

The purpose of this paper is to compare side-by-side the NTRU and BGV schemes in their non-scale invariant (messages in the lower bits), and their scale invariant (message in the upper bits) forms. The scale invariant versions are often called the FV and YASHE schemes. As an additional optimization, we also investigate the affect of modulus reduction on the scale-invariant schemes. We compare the schemes using the ``average case'' noise analysis presented by Gentry et al. In addition we unify notation and techniques so as to show commonalities between the schemes. We find that the BGV scheme appears to be more efficient for large plaintext moduli, whilst YASHE seems more efficient for small plaintext moduli (although the benefit is not as great as one would have expected).

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Major revision. CT-RSA 2016
Contact author(s): anamaria costache @ bristol ac uk
nigel @ cs bris ac uk
History: 2015-11-23: last of 4 revisions; 2015-09-14: received; See all versions
Short URL: https://ia.cr/2015/889
License: CC BY

BibTeX

@misc{cryptoeprint:2015/889,
      author = {Anamaria Costache and Nigel P.  Smart},
      title = {Which Ring Based Somewhat Homomorphic Encryption Scheme is Best?},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/889},
      year = {2015},
      url = {https://eprint.iacr.org/2015/889}
}