Random oracles are practical: a paradigm for designing efficient protocols
CCS '93 Proceedings of the 1st ACM conference on Computer and communications security
Paillier's cryptosystem revisited
CCS '01 Proceedings of the 8th ACM conference on Computer and Communications Security
Foundations of Cryptography: Basic Tools
Foundations of Cryptography: Basic Tools
Fundamentals of Cryptology: A Professional Reference and Interactive Tutorial
Fundamentals of Cryptology: A Professional Reference and Interactive Tutorial
Trapdoor one-way permutations and multivariate polynominals
ICICS '97 Proceedings of the First International Conference on Information and Communication Security
Design and Analysis of Fast Provably Secure Public-Key Cryptosystems Based on a Modular Squaring
ICISC '01 Proceedings of the 4th International Conference Seoul on Information Security and Cryptology
Towards Realizing Random Oracles: Hash Functions That Hide All Partial Information
CRYPTO '97 Proceedings of the 17th 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
Universal Hash Proofs and a Paradigm for Adaptive Chosen Ciphertext Secure Public-Key Encryption
EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology
The Hardness of Hensel Lifting: The Case of RSA and Discrete Logarithm
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Chosen-Ciphertext Security for Any One-Way Cryptosystem
PKC '00 Proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
IND-CCA Public Key Schemes Equivalent to Factoring n=pq
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
On the Security of Williams Based Public Key Encryption Scheme
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
New Semantically Secure Public-Key Cryptosystems from the RSA-Primitive
PKC '02 Proceedings of the 5th International Workshop on Practice and Theory in Public Key Cryptosystems: Public Key Cryptography
Simplified OAEP for the RSA and Rabin Functions
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATION
DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATION
Finding a small root of a univariate modular equation
EUROCRYPT'96 Proceedings of the 15th annual international conference on Theory and application of cryptographic techniques
Public-key cryptosystems based on composite degree residuosity classes
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
Public-key cryptosystems based on cubic finite field extensions
IEEE Transactions on Information Theory
One-wayness equivalent to general factoring
IEEE Transactions on Information Theory
A New Rabin-type Trapdoor Permutation Equivalent to Factoring
Electronic Notes in Theoretical Computer Science (ENTCS)
Anonymous pay-TV system with secure revenue sharing
KES'07/WIRN'07 Proceedings of the 11th international conference, KES 2007 and XVII Italian workshop on neural networks conference on Knowledge-based intelligent information and engineering systems: Part III
A provably secure elliptic curve scheme with fast encryption
INDOCRYPT'04 Proceedings of the 5th international conference on Cryptology in India
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We propose a practical scheme based on factoring and semantically secure (IND-CPA) in the standard model. The scheme is obtained from a modification of the so called RSA-Paillier [5] scheme. This modification is reminiscent of the ones applied by Rabin [22] and Williams [25] to the well-known RSA cryptosystem. Thanks to the special properties of such schemes, we obtain efficiency similar to that of RSA cryptosystem, provably secure encryption (since recovering plaintext from ciphertext is as hard as factoring) and indistinguishability against plaintext attacks. We also construct a new trapdoor permutation based on factoring, which has interest on its own. Semantic security of the scheme is based on an appropiate decisional assumption, named as Decisional Small 2e-Residues assumption. The robustness of this assumption is also discussed. Compared to Okamoto-Uchiyama's scheme [18], the previous IND-CPA cryptosystem in the standard model with one-wayness based on factoring, our scheme is drastically more efficient in encryption, and presents higher bandwith, achieving the same expansion factor as Paillier or El Gamal schemes. We believe the new scheme could be an interesting starting point to develop efficient IND-CCA schemes in the standard model with one-wayness based on factoring.