A Pseudorandom Generator from any One-way Function
SIAM Journal on Computing
Synthesizers and their application to the parallel construction of pseudo-random functions
Journal of Computer and System Sciences - Special issue on the 36th IEEE symposium on the foundations of computer science
Complete characterization of security notions for probabilistic private-key encryption
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
The security of the cipher block chaining message authentication code
Journal of Computer and System Sciences
UMAC: Fast and Secure Message Authentication
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Expanding Pseudorandom Functions; or: From Known-Plaintext Security to Chosen-Plaintext Security
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
A Design Principle for Hash Functions
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
Universal Hashing and Authentication Codes
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Keying Hash Functions for Message Authentication
CRYPTO '96 Proceedings of the 16th Annual International Cryptology Conference on Advances in Cryptology
Authenticated Encryption: Relations among Notions and Analysis of the Generic Composition Paradigm
ASIACRYPT '00 Proceedings of the 6th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
A Concrete Security Treatment of Symmetric Encryption
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Pseudorandom functions revisited: the cascade construction and its concrete security
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
How To Construct Randolli Functions
SFCS '84 Proceedings of the 25th Annual Symposium onFoundations of Computer Science, 1984
A Fast and Key-Efficient Reduction of Chosen-Ciphertext to Known-Plaintext Security
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Range Extension for Weak PRFs; The Good, the Bad, and the Ugly
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
A simple variant of the Merkle-Damgård scheme with a permutation
ASIACRYPT'07 Proceedings of the Advances in Crypotology 13th international conference on Theory and application of cryptology and information security
Boosting Merkle-Damgård hashing for message authentication
ASIACRYPT'07 Proceedings of the Advances in Crypotology 13th international conference on Theory and application of cryptology and information security
Security of NMAC and HMAC based on non-malleability
CT-RSA'08 Proceedings of the 2008 The Cryptopgraphers' Track at the RSA conference on Topics in cryptology
New proofs for NMAC and HMAC: security without collision-resistance
CRYPTO'06 Proceedings of the 26th annual international conference on Advances in Cryptology
Cryptographic agility and its relation to circular encryption
EUROCRYPT'10 Proceedings of the 29th Annual international conference on Theory and Applications of Cryptographic Techniques
| Hi-index | 0.00 |
Although it is well known that all basic private-key cryptographic primitives can be built from one-way functions, finding weak assumptions from which practical implementations of such primitives exist remains a challenging task. Towards this goal, this paper introduces the notion of a constant-query weak PRF , a function with a secret key which is computationally indistinguishable from a truly random function when evaluated at a constant number s of known random inputs, where s can be as small as two. We provide iterated constructions of (arbitrary-input-length) PRFs from constant-query weak PRFs that even improve the efficiency of previous constructions based on the stronger assumption of a weak PRF (where polynomially many evaluations are allowed). One of our constructions directly provides a new mode of operation using a constant-query weak PRF for IND-CPA symmetric encryption which is essentially as efficient as conventional PRF-based counter-mode encryption. Furthermore, our constructions yield efficient modes of operation for keying hash functions (such as MD5 and SHA-1) to obtain iterated PRFs (and hence MACs) which rely solely on the assumption that the underlying compression function is a constant-query weak PRF, which is the weakest assumption ever considered in this context.