Paper 2008/378
Additively Homomorphic Encryption with d-Operand Multiplications
Carlos Aguilar Melchor, Philippe Gaborit, and Javier Herranz
Abstract
The search for encryption schemes that allow to evaluate functions (or circuits) over encrypted data has attracted a lot of attention since the seminal work on this subject by Rivest, Adleman and Dertouzos in 1978. In this work we define a theoretical object, chained encryption schemes, which allow an efficient evaluation of polynomials of degree d over encrypted data. Chained encryption schemes are generically constructed by concatenating cryptosystems with the appropriate homomorphic properties; such schemes are common in lattice-based cryptography. As a particular instantiation we propose a chained encryption scheme whose IND-CPA security is based on a worst-case/average-case reduction from uSVP.
Note: Added overview, applications, and cost evaluation.
Metadata
- Available format(s)
-
PDF
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- homomorphic encryptionsecure function evaluationlatttices
- Contact author(s)
- carlos aguilar @ unilim fr
- History
- 2010-08-15: last of 3 revisions
- 2008-09-07: received
- See all versions
- Short URL
- https://ia.cr/2008/378
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2008/378,
author = {Carlos Aguilar Melchor and Philippe Gaborit and Javier Herranz},
title = {Additively Homomorphic Encryption with d-Operand Multiplications},
howpublished = {Cryptology {ePrint} Archive, Paper 2008/378},
year = {2008},
url = {https://eprint.iacr.org/2008/378}
}
