Identity-based cryptosystems and signature schemes
Proceedings of CRYPTO 84 on Advances in cryptology
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
Hierarchical ID-Based Cryptography
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
An Identity Based Encryption Scheme Based on Quadratic Residues
Proceedings of the 8th IMA International Conference on Cryptography and Coding
Attribute-based encryption for fine-grained access control of encrypted data
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
Trapdoors for hard lattices and new cryptographic constructions
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Homomorphic Encryption and Signatures from Vector Decomposition
Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
Hierarchical Identity Based Encryption with Polynomially Many Levels
TCC '09 Proceedings of the 6th Theory of Cryptography Conference on Theory of Cryptography
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
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
A forward-secure public-key encryption scheme
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
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
Building efficient fully collusion-resilient traitor tracing and revocation schemes
Proceedings of the 17th ACM conference on Computer and communications security
Lattice basis delegation in fixed dimension and shorter-ciphertext hierarchical IBE
CRYPTO'10 Proceedings of the 30th annual 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
PKC'11 Proceedings of the 14th international conference on Practice and theory in public key cryptography conference on Public key cryptography
Achieving leakage resilience through dual system encryption
TCC'11 Proceedings of the 8th conference on Theory of cryptography
Identity-based encryption secure against selective opening attack
TCC'11 Proceedings of the 8th conference on Theory of cryptography
Unbounded HIBE and attribute-based encryption
EUROCRYPT'11 Proceedings of the 30th Annual international conference on Theory and applications of cryptographic techniques: advances in cryptology
Decentralizing attribute-based encryption
EUROCRYPT'11 Proceedings of the 30th Annual international conference on Theory and applications of cryptographic techniques: advances in cryptology
New techniques for dual system encryption and fully secure HIBE with short ciphertexts
TCC'10 Proceedings of the 7th international conference on Theory of Cryptography
Evaluating 2-DNF formulas on ciphertexts
TCC'05 Proceedings of the Second international conference on Theory of Cryptography
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
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
Bonsai trees, or how to delegate a lattice basis
EUROCRYPT'10 Proceedings of the 29th Annual international conference on Theory and Applications of Cryptographic Techniques
Efficient lattice (H)IBE in the standard model
EUROCRYPT'10 Proceedings of the 29th Annual international conference on Theory and Applications of Cryptographic Techniques
Non-interactive zaps and new techniques for NIZK
CRYPTO'06 Proceedings of the 26th annual international conference on Advances in Cryptology
Perfect non-interactive zero knowledge for NP
EUROCRYPT'06 Proceedings of the 24th annual international conference on The 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
Symmetric inner-product predicate encryption based on three groups
ProvSec'12 Proceedings of the 6th international conference on Provable Security
Homomorphic encryption for multiplications and pairing evaluation
SCN'12 Proceedings of the 8th international conference on Security and Cryptography for Networks
Dual form signatures: an approach for proving security from static assumptions
ASIACRYPT'12 Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security
On the (im)possibility of projecting property in prime-order setting
ASIACRYPT'12 Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security
Computing on authenticated data: new privacy definitions and constructions
ASIACRYPT'12 Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security
CT-RSA'13 Proceedings of the 13th international conference on Topics in Cryptology
Shorter IBE and signatures via asymmetric pairings
Pairing'12 Proceedings of the 5th international conference on Pairing-Based Cryptography
International Journal of Applied Cryptography
Practical constructions and new proof methods for large universe attribute-based encryption
Proceedings of the 2013 ACM SIGSAC conference on Computer & communications security
Universally composable adaptive oblivious transfer (with access control) from standard assumptions
Proceedings of the 2013 ACM workshop on Digital identity management
Comparing the pairing efficiency over composite-order and prime-order elliptic curves
ACNS'13 Proceedings of the 11th international conference on Applied Cryptography and Network Security
Leakage resilient IBE and IPE under the DLIN assumption
ACNS'13 Proceedings of the 11th international conference on Applied Cryptography and Network Security
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In this paper, we explore a general methodology for converting composite order pairing-based cryptosystems into the prime order setting. We employ the dual pairing vector space approach initiated by Okamoto and Takashima and formulate versatile tools in this framework that can be used to translate composite order schemes for which the prior techniques of Freeman were insufficient. Our techniques are typically applicable for composite order schemes relying on the canceling property and proven secure from variants of the subgroup decision assumption, and will result in prime order schemes that are proven secure from the decisional linear assumption. As an instructive example, we obtain a translation of the Lewko-Waters composite order IBE scheme. This provides a close analog of the Boneh-Boyen IBE scheme that is proven fully secure from the decisional linear assumption. In the full version of this paper, we also provide a translation of the Lewko-Waters unbounded HIBE scheme.