Subring Homomorphic Encryption

Seiko Arita; Sari Handa

Paper 2017/066

Subring Homomorphic Encryption

Seiko Arita and Sari Handa

Abstract

In this paper, we construct {\em subring homomorphic encryption} scheme that is a homomorphic encryption scheme build on the decomposition ring, which is a subring of cyclotomic ring. In the scheme, each plaintext slot contains an integer in $\mathbb{Z}_{p^l}$, rather than an element of $\mathrm{GF}(p^d)$ as in conventional homomorphic encryption schemes on cyclotomic rings. Our benchmark results indicate that the subring homomorphic encryption scheme is several times faster than HElib {\em for mod-$p^l$ plaintexts}, due to its high parallelism of mod-$p^l$ slot structure. We believe in that the plaintext structure composed of mod-$p^l$ slots will be more natural, easy to handle, and significantly more efficient for many applications such as outsourced data mining.

Note: editorial modifications

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Contact author(s): arita @ iisec ac jp
History: 2017-06-07: last of 2 revisions; 2017-01-31: received; See all versions
Short URL: https://ia.cr/2017/066
License: CC BY

BibTeX

@misc{cryptoeprint:2017/066,
      author = {Seiko Arita and Sari Handa},
      title = {Subring Homomorphic Encryption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2017/066},
      year = {2017},
      url = {https://eprint.iacr.org/2017/066}
}