Attribute-based encryption for fine-grained access control of encrypted data
Proceedings of the 13th ACM conference on Computer and communications security
Dynamic Threshold Public-Key Encryption
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
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
Revocation Systems with Very Small Private Keys
SP '10 Proceedings of the 2010 IEEE Symposium on Security and Privacy
Fully secure functional encryption with general relations from the decisional linear assumption
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
Fully secure anonymous HIBE and secret-key anonymous IBE with short ciphertexts
Pairing'10 Proceedings of the 4th international conference on Pairing-based cryptography
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
Fuzzy identity-based encryption
EUROCRYPT'05 Proceedings of the 24th 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
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Recently, Hamburg improved the notion of spatial encryption by presenting a variant called doubly-spatial encryption. As a generalization of the spatial encryption, the doubly-spatial encryption is more powerful and expressive. More useful cryptography systems can be built from it, such as attribute-based encryption, etc. However, the only presented doubly-spatial encryption scheme can only be proved to be selectively secure. In this paper, we primarily focus on the full security of doubly-spatial encryption. A doubly-spatial encryption scheme has been proposed. We apply the dual system methodology proposed by Waters in the security proof. Our scheme can be proved adaptively secure under standard assumptions, the decisional linear assumption and the decisional bilinear Diffe-Hellman assumption, over prime order groups in the standard model. Our scheme is the first fully secure construction of doubly-spatial encryption. As an independent interest, we also propose a fully secure spatial encryption with weak anonymity and constant ciphertext size in the composite order group settings.