Paper 2017/066 Original: eprint.iacr.org/2017/066 ↗
Subring Homomorphic Encryption
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2017-06-07: last updated
- 2017-01-31: published
- Short URL
- https://ia.cr/2017/066
- License
- https://creativecommons.org/licenses/by/4.0/
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}
}