Abstract
In this paper, we present two non-zero inner-product encryption (NIPE) schemes that are adaptively secure under a standard assumption, the decisional linear (DLIN) assumption, in the standard model. One of the proposed NIPE schemes features constant-size ciphertexts and the other features constant-size secret-keys. Our NIPE schemes imply an identity-based revocation (IBR) system with constant-size ciphertexts or constant-size secret-keys that is adaptively secure under the DLIN assumption. Any previous IBR scheme with constant-size ciphertexts or constant-size secret-keys was not adaptively secure in the standard model. This paper also presents two zero inner-product encryption (ZIPE) schemes each of which has constant-size ciphertexts or constant-size secret-keys and is adaptively secure under the DLIN assumption in the standard model. They imply an identity-based broadcast encryption system with constant-size ciphertexts or constant-size secret-keys that is adaptively secure under the DLIN assumption. We also extend the proposed ZIPE schemes in two directions, one is a fully-attribute-hiding ZIPE scheme with constant-size secret-keys, and the other a hierarchical ZIPE scheme with constant-size ciphertexts.
Original language | English |
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Pages (from-to) | 725-771 |
Number of pages | 47 |
Journal | Designs, Codes, and Cryptography |
Volume | 77 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - 2015 Dec 3 |
Externally published | Yes |
Keywords
- Functional encryption
- Inner-product encryption
- Non-zero inner-product encryption
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science Applications
- Discrete Mathematics and Combinatorics
- Applied Mathematics