Solving simultaneous modular equations of low degree
SIAM Journal on Computing - Special issue on cryptography
Limits on the provable consequences of one-way permutations
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Public-key cryptosystems provably secure against chosen ciphertext attacks
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Foundations of Cryptography: Basic Tools
Foundations of Cryptography: Basic Tools
SIAM Journal on Computing
Non-Interactive Zero-Knowledge Proof of Knowledge and Chosen Ciphertext Attack
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
A Practical Public Key Cryptosystem Provably Secure Against Adaptive Chosen Ciphertext Attack
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
Non-Malleable Non-Interactive Zero Knowledge and Adaptive Chosen-Ciphertext Security
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Limits on the Efficiency of One-Way Permutation-Based Hash Functions
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Lower bounds on the efficiency of generic cryptographic constructions
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
The relationship between public key encryption and oblivious transfer
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
On the Impossibility of Basing Trapdoor Functions on Trapdoor Predicates
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Bounds on the Efficiency of Generic Cryptographic Constructions
SIAM Journal on Computing
Direct chosen ciphertext security from identity-based techniques
Proceedings of the 12th ACM conference on Computer and communications security
A Simpler Construction of CCA2-Secure Public-Key Encryption under General Assumptions
Journal of Cryptology
Chosen-Ciphertext Security from Identity-Based Encryption
SIAM Journal on Computing
FOCS '07 Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science
Lossy trapdoor functions and their applications
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Theory and application of trapdoor functions
SFCS '82 Proceedings of the 23rd Annual Symposium on Foundations of Computer Science
Security preserving amplification of hardness
SFCS '90 Proceedings of the 31st Annual Symposium on Foundations of Computer Science
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
Towards a separation of semantic and CCA security for public key encryption
TCC'07 Proceedings of the 4th conference on Theory of cryptography
Bounded CCA2-secure encryption
ASIACRYPT'07 Proceedings of the Advances in Crypotology 13th international conference on Theory and application of cryptology and information security
Relations among notions of non-malleability for encryption
ASIACRYPT'07 Proceedings of the Advances in Crypotology 13th international conference on Theory and application of cryptology and information security
Black-box construction of a non-malleable encryption scheme from any semantically secure one
TCC'08 Proceedings of the 5th conference on Theory of cryptography
Improved efficiency for CCA-secure cryptosystems built using identity-based encryption
CT-RSA'05 Proceedings of the 2005 international conference on Topics in Cryptology
Construction of a non-malleable encryption scheme from any semantically secure one
CRYPTO'06 Proceedings of the 26th annual international conference on Advances in Cryptology
EUROCRYPT '09 Proceedings of the 28th Annual International Conference on Advances in Cryptology: the Theory and Applications of Cryptographic Techniques
CT-RSA '09 Proceedings of the The Cryptographers' Track at the RSA Conference 2009 on Topics in Cryptology
Efficient Public Key Encryption Based on Ideal Lattices
ASIACRYPT '09 Proceedings of the 15th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Smooth Projective Hashing and Password-Based Authenticated Key Exchange from Lattices
ASIACRYPT '09 Proceedings of the 15th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Efficient chosen-ciphertext security via extractable hash proofs
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
A generic method for reducing ciphertext length of reproducible KEMs in the RO model
IWSEC'10 Proceedings of the 5th international conference on Advances in information and computer security
ProvSec'10 Proceedings of the 4th international conference on Provable security
Chosen ciphertext secure encryption under factoring assumption revisited
PKC'11 Proceedings of the 14th international conference on Practice and theory in public key cryptography conference on Public key cryptography
Chameleon all-but-one TDFs and their application to chosen-ciphertext security
PKC'11 Proceedings of the 14th international conference on Practice and theory in public key cryptography conference on Public key cryptography
Parallel decryption queries in bounded chosen ciphertext attacks
PKC'11 Proceedings of the 14th international conference on Practice and theory in public key cryptography conference on Public key cryptography
Correlated-input secure hash functions
TCC'11 Proceedings of the 8th conference on Theory of cryptography
General construction of chameleon all-but-one trapdoor functions
ProvSec'11 Proceedings of the 5th international conference on Provable security
TCC'10 Proceedings of the 7th international conference on Theory of Cryptography
Two is a crowd? a black-box separation of one-wayness and security under correlated inputs
TCC'10 Proceedings of the 7th international conference on Theory of Cryptography
CCA proxy re-encryption without bilinear maps in the standard model
PKC'10 Proceedings of the 13th international conference on Practice and Theory in Public Key Cryptography
More constructions of lossy and correlation-secure trapdoor functions
PKC'10 Proceedings of the 13th international conference on Practice and Theory in Public Key Cryptography
Chosen-Ciphertext security from slightly lossy trapdoor functions
PKC'10 Proceedings of the 13th international conference on Practice and Theory in Public Key Cryptography
Adaptive trapdoor functions and chosen-ciphertext security
EUROCRYPT'10 Proceedings of the 29th Annual international conference on Theory and Applications of Cryptographic Techniques
TCC'12 Proceedings of the 9th international conference on Theory of Cryptography
All-But-Many lossy trapdoor functions
EUROCRYPT'12 Proceedings of the 31st Annual international conference on Theory and Applications of Cryptographic Techniques
Identity-Based (lossy) trapdoor functions and applications
EUROCRYPT'12 Proceedings of the 31st Annual international conference on Theory and Applications of Cryptographic Techniques
Detecting dangerous queries: a new approach for chosen ciphertext security
EUROCRYPT'12 Proceedings of the 31st Annual international conference on Theory and Applications of Cryptographic Techniques
Lossy Trapdoor Functions and Their Applications
SIAM Journal on Computing
On homomorphic encryption and chosen-ciphertext security
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
NTRUCCA: how to strengthen NTRUEncrypt to chosen-ciphertext security in the standard model
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
Correlated product security from any one-way function
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
Extended-DDH and lossy trapdoor functions
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
An efficient IND-CCA2 secure variant of the niederreiter encryption scheme in the standard model
ACISP'12 Proceedings of the 17th Australasian conference on Information Security and Privacy
Fully anonymous attribute tokens from lattices
SCN'12 Proceedings of the 8th international conference on Security and Cryptography for Networks
Barriers in cryptography with weak, correlated and leaky sources
Proceedings of the 4th conference on Innovations in Theoretical Computer Science
A ciphertext policy attribute-based encryption scheme without pairings
Inscrypt'11 Proceedings of the 7th international conference on Information Security and Cryptology
IND-CCA secure cryptography based on a variant of the LPN problem
ASIACRYPT'12 Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security
Selective opening chosen ciphertext security directly from the DDH assumption
NSS'12 Proceedings of the 6th international conference on Network and System Security
Proceedings of the first ACM workshop on Asia public-key cryptography
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We initiate the study of one-wayness under correlated products . We are interested in identifying necessary and sufficient conditions for a function f and a distribution on inputs (x 1 , ..., x k ), so that the function (f (x 1 ), ..., f (x k )) is one-way. The main motivation of this study is the construction of public-key encryption schemes that are secure against chosen-ciphertext attacks (CCA). We show that any collection of injective trapdoor functions that is secure under a very natural correlated product can be used to construct a CCA-secure encryption scheme. The construction is simple, black-box, and admits a direct proof of security. We provide evidence that security under correlated products is achievable by demonstrating that lossy trapdoor functions (Peikert and Waters, STOC '08) yield injective trapdoor functions that are secure under the above mentioned correlated product. Although we currently base security under correlated products on existing constructions of lossy trapdoor functions, we argue that the former notion is potentially weaker as a general assumption. Specifically, there is no fully-black-box construction of lossy trapdoor functions from trapdoor functions that are secure under correlated products.