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Paper 2014/777
(Batch) Fully Homomorphic Encryption over Integers for Non-Binary Message Spaces
Koji Nuida and Kaoru Kurosawa
Abstract
In this paper, we construct a fully homomorphic encryption (FHE) scheme over integers with the message space $Z_Q$ for any prime $Q$. Even for the binary case $Q=2$, our decryption circuit has a smaller degree than that of the previous scheme; the multiplicative degree is reduced from $O(\lambda (\log \lambda)^2)$ to $O(\lambda)$, where $\lambda$ is the security parameter. We also extend our FHE scheme to a batch FHE scheme.
Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- Fully homomorphic encryptionnon-binary message
- Contact author(s)
- k nuida @ aist go jp
- History
- 2014-10-04: received
- Short URL
- https://ia.cr/2014/777
- License
-
CC BY