How to construct random functions
Journal of the ACM (JACM)
A hierarchy of polynomial time lattice basis reduction algorithms
Theoretical Computer Science
On threshold circuits and polynomial computation
SIAM Journal on Computing
Generating hard instances of lattice problems (extended abstract)
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of 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
Pseudorandom Functions and Factoring
SIAM Journal on Computing
Secure Human Identification Protocols
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Noise-tolerant learning, the parity problem, and the statistical query model
Journal of the ACM (JACM)
Number-theoretic constructions of efficient pseudo-random functions
Journal of the ACM (JACM)
Lossy trapdoor functions and their applications
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Trapdoors for hard lattices and new cryptographic constructions
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
SWIFFT: A Modest Proposal for FFT Hashing
Fast Software Encryption
Fully homomorphic encryption using ideal lattices
Proceedings of the forty-first annual ACM symposium on Theory of computing
Public-key cryptosystems from the worst-case shortest vector problem: extended abstract
Proceedings of the forty-first annual ACM symposium on Theory of computing
On lattices, learning with errors, random linear codes, and cryptography
Journal of the ACM (JACM)
Fast Cryptographic Primitives and Circular-Secure Encryption Based on Hard Learning Problems
CRYPTO '09 Proceedings of the 29th Annual International Cryptology Conference on Advances in Cryptology
Efficient pseudorandom functions from the decisional linear assumption and weaker variants
Proceedings of the 16th ACM conference on Computer and communications security
Algebraic pseudorandom functions with improved efficiency from the augmented cascade
Proceedings of the 17th ACM conference on Computer and communications security
An efficient and parallel Gaussian sampler for lattices
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
Lattice basis delegation in fixed dimension and shorter-ciphertext hierarchical IBE
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
Efficient authentication from hard learning problems
EUROCRYPT'11 Proceedings of the 30th Annual international conference on Theory and applications of cryptographic techniques: advances in cryptology
New algorithms for learning in presence of errors
ICALP'11 Proceedings of the 38th international colloquim conference on Automata, languages and programming - Volume Part I
Pseudorandom knapsacks and the sample complexity of LWE search-to-decision reductions
CRYPTO'11 Proceedings of the 31st annual conference on Advances in cryptology
Fully homomorphic encryption from ring-LWE and security for key dependent messages
CRYPTO'11 Proceedings of the 31st annual conference on Advances in cryptology
Efficient Fully Homomorphic Encryption from (Standard) LWE
FOCS '11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
Authenticating pervasive devices with human protocols
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
On ideal lattices and learning with errors over rings
EUROCRYPT'10 Proceedings of the 29th Annual international conference on Theory and Applications of Cryptographic Techniques
Fully homomorphic encryption over the integers
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
Trapdoors for lattices: simpler, tighter, faster, smaller
EUROCRYPT'12 Proceedings of the 31st Annual international conference on Theory and Applications of Cryptographic Techniques
Hardness preserving constructions of pseudorandom functions
TCC'12 Proceedings of the 9th international conference on Theory of Cryptography
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
Strongly secure authenticated key exchange from factoring, codes, and lattices
PKC'12 Proceedings of the 15th international conference on Practice and Theory in Public Key Cryptography
SCN'12 Proceedings of the 8th international conference on Security and Cryptography for Networks
Anonymous lattice-based broadcast encryption
ICT-EurAsia'13 Proceedings of the 2013 international conference on Information and Communication Technology
Candidate weak pseudorandom functions in AC0 ○ MOD2
Proceedings of the 5th conference on Innovations in theoretical computer science
| Hi-index | 0.00 |
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically efficient and highly parallelizable in a practical sense, i.e., they can be computed by simple, relatively small low-depth arithmetic or boolean circuits (e.g., in NC1 or even TC0). In addition, they are the first low-depth PRFs that have no known attack by efficient quantum algorithms. Central to our results is a new "derandomization" technique for the learning with errors (LWE) problem which, in effect, generates the error terms deterministically.