The relation and transformation between hierarchical inner product encryption and spatial encryption

Hierarchical inner product encryption (HIPE) and spatial encryption (SE) are two important classes of functional encryption that have numerous applications. Although HIPE and SE both involve some notion of linear algebra, the former works in vectors while the latter is based on (affine) spaces. More...

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Bibliographic Details
Published in:Designs, codes, and cryptography codes, and cryptography, 2014-05, Vol.71 (2), p.347-364
Main Authors: Chen, Jie, Lim, Hoon Wei, Ling, San, Wang, Huaxiong
Format: Article
Language:English
Subjects:
Algebra
Applied sciences
Circuits
Coding and Information Theory
Computer Science
Computer science
control theory
systems
Cryptography
Cryptology
Data Structures and Information Theory
Discrete Mathematics in Computer Science
Exact sciences and technology
Information and Communication
Information, signal and communications theory
Linear and multilinear algebra, matrix theory
Mathematics
Memory and file management (including protection and security)
Memory organisation. Data processing
Sciences and techniques of general use
Signal and communications theory
Software
Telecommunications and information theory
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Summary:Hierarchical inner product encryption (HIPE) and spatial encryption (SE) are two important classes of functional encryption that have numerous applications. Although HIPE and SE both involve some notion of linear algebra, the former works in vectors while the latter is based on (affine) spaces. Moreover, they currently possess different properties in terms of security, anonymity (payload/attribute-hiding) and ciphertext sizes, for example. In this paper, we formally study the relation between HIPE and SE. In our work, we discover some interesting and novel property-preserving transformation techniques that enable generic construction of an SE scheme from an HIPE scheme, and vice versa.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-012-9742-y