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Pseudo-random generation from one-way functions
Open accessAbstract
We show that the existence of one-way functions is necessary and sufficient for the existence of pseudo-random generators in the following sense. Let ƒ be an easily computable function such that when x is chosen randomly: (1) from ƒ(x) it is hard to recover an x1 with ƒ(x1) = ƒ(x) by a small circuit, or; (2) ƒ has small degeneracy and from ƒ(x) it is hard to recover x by a fast algorithm. From one-way functions of type (1) or (2) we show how to construct pseudo-random generators secure against small circuits or fast algorithms, respectively, and vice-versa. Previous results show how to construct pseudo-random generators from one-way functions that have special properties ([Blum, Micali 82], [Yao 82], [Levin 85], [Goldreich, Krawczyk, Luby 88]).
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Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
Generating quasi-random sequences from semi-random sources
Santha, M., & Vazirani, U. V. (1986) · Journal of Computer and System Sciences · doi:10.1016/0022-0000(86)90044-9 · Cited by 256
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Handbook of applied cryptography
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Bellare, M., & Rogaway, P. (2007) · Lecture Notes in Computer Science · doi:10.1007/3-540-48329-2_21 · Cited by 1,752
How to time-stamp a digital document
Haber, S., & Stornetta, W. S. (1991) · Journal of Cryptology · doi:10.1007/bf00196791 · Cited by 1,483
Characterizing quantum supremacy in near-term devices
Boixo, S., Isakov, S. V., Smelyanskiy, V. N., Babbush, R., Ding, N., Jiang, Z., Bremner, M. J., Martinis, J. M., & Neven, H. (2018) · Nature Physics · doi:10.1038/s41567-018-0124-x · Cited by 1,175
The round complexity of secure protocols
Beaver, D., Micali, S., & Rogaway, P. (1990) · Proceedings of the twenty-second annual ACM symposium on Theory of computing - STOC '90 · doi:10.1145/100216.100287 · Cited by 721
Metadata
- Authors
- Impagliazzo, R., Levin, L. A., & Luby, M.
- Venue
- Proceedings of the twenty-first annual ACM symposium on Theory of computing - STOC '89
- Publisher
- ACM Press
- Published
- 1989
- Pages
- 12-24
- OpenAlex
- W2064423787
- Cited by
- 724
- References
- 2
- FWCI
- 15.37
- Type
- conference paper
- Language
- en
- Open access
- bronze
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- Impagliazzo, R., Levin, L. A., & Luby, M. (1989). Pseudo-random generation from one-way functions. Proceedings of the twenty-first annual ACM symposium on Theory of computing - STOC '89. https://doi.org/10.1145/73007.73009
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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