Identity-based cryptosystems and signature schemes
Proceedings of CRYPTO 84 on Advances in cryptology
A course in computational algebraic number theory
A course in computational algebraic number theory
Identity-Based Encryption from the Weil Pairing
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Toward Hierarchical Identity-Based Encryption
EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology
An Identity Based Encryption Scheme Based on Quadratic Residues
Proceedings of the 8th IMA International Conference on Cryptography and Coding
Practical Techniques for Searches on Encrypted Data
SP '00 Proceedings of the 2000 IEEE Symposium on Security and Privacy
Attribute-based encryption for fine-grained access control of encrypted data
Proceedings of the 13th ACM conference on Computer and communications security
Secure attribute-based systems
Proceedings of the 13th ACM conference on Computer and communications security
A fully collusion resistant broadcast, trace, and revoke system
Proceedings of the 13th ACM conference on Computer and communications security
Ciphertext-Policy Attribute-Based Encryption
SP '07 Proceedings of the 2007 IEEE Symposium on Security and Privacy
Attribute-based encryption with non-monotonic access structures
Proceedings of the 14th ACM conference on Computer and communications security
Delegating Capabilities in Predicate Encryption Systems
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
Homomorphic Encryption and Signatures from Vector Decomposition
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Generalized Identity Based and Broadcast Encryption Schemes
ASIACRYPT '08 Proceedings of the 14th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Dual System Encryption: Realizing Fully Secure IBE and HIBE under Simple Assumptions
CRYPTO '09 Proceedings of the 29th Annual International Cryptology Conference on Advances in Cryptology
Spatial Encryption under Simpler Assumption
ProvSec '09 Proceedings of the 3rd International Conference on Provable Security
Hierarchical Predicate Encryption for Inner-Products
ASIACRYPT '09 Proceedings of the 15th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Conjunctive, subset, and range queries on encrypted data
TCC'07 Proceedings of the 4th conference on Theory of cryptography
Predicate encryption supporting disjunctions, polynomial equations, and inner products
EUROCRYPT'08 Proceedings of the theory and applications of cryptographic techniques 27th annual international conference on Advances in cryptology
Fully secure functional encryption with general relations from the decisional linear assumption
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
Identity-based encryption secure against selective opening attack
TCC'11 Proceedings of the 8th conference on Theory of cryptography
Functional encryption: definitions and challenges
TCC'11 Proceedings of the 8th conference on Theory of cryptography
Collusion resistant broadcast encryption with short ciphertexts and private keys
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
Efficient identity-based encryption without random oracles
EUROCRYPT'05 Proceedings of the 24th annual international conference on Theory and Applications of Cryptographic Techniques
Hierarchical identity based encryption with constant size ciphertext
EUROCRYPT'05 Proceedings of the 24th annual international conference on Theory and Applications of Cryptographic Techniques
Fuzzy identity-based encryption
EUROCRYPT'05 Proceedings of the 24th annual international conference on Theory and Applications of Cryptographic Techniques
PKC'10 Proceedings of the 13th international conference on Practice and Theory in Public Key Cryptography
Converting pairing-based cryptosystems from composite-order groups to prime-order groups
EUROCRYPT'10 Proceedings of the 29th Annual international conference on Theory and Applications of Cryptographic Techniques
EUROCRYPT'10 Proceedings of the 29th Annual international conference on Theory and Applications of Cryptographic Techniques
Practical identity-based encryption without random oracles
EUROCRYPT'06 Proceedings of the 24th annual international conference on The Theory and Applications of Cryptographic Techniques
Fully collusion resistant traitor tracing with short ciphertexts and private keys
EUROCRYPT'06 Proceedings of the 24th annual international conference on The Theory and Applications of Cryptographic Techniques
CANS'11 Proceedings of the 10th international conference on Cryptology and Network Security
Anonymous broadcast encryption: adaptive security and efficient constructions in the standard model
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
Lower bounds for private broadcast encryption
IH'12 Proceedings of the 14th international conference on Information Hiding
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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.