The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
How to construct random functions
Open accessAbstract
A constructive theory of randomness for functions, based on computational complexity, is developed, and a pseudorandom function generator is presented. This generator is a deterministic polynomial-time algorithm that transforms pairs ( g , r ), where g is any one-way function and r is a random k -bit string, to polynomial-time computable functions ƒ r : {1, … , 2 k } → {1, … , 2 k }. These ƒ r 's cannot be distinguished from random functions by any probabilistic polynomial-time algorithm that asks and receives the value of a function at arguments of its choice. The result has applications in cryptography, random constructions, and complexity theory.
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Citations
Cites
The Art of Computer Programming
Knuth, D. E. (1968) · Cited by 16,000
New directions in cryptography
Diffie, W., & Hellman, M. (1976) · IEEE Transactions on Information Theory · doi:10.1109/tit.1976.1055638 · Cited by 14,713
A method for obtaining digital signatures and public-key cryptosystems
Rivest, R. L., Shamir, A., & Adleman, L. (1978) · Communications of the ACM · doi:10.1145/359340.359342 · Cited by 13,462
A method for obtaining digital signatures and public-key cryptosystems
Rivest, R. L., Shamir, A., & Adleman, L. (1983) · Communications of the ACM · doi:10.1145/357980.358017 · Cited by 13,012
A formal theory of inductive inference. Part II
Solomonoff, R. J. (1964) · Information and Control · doi:10.1016/s0019-9958(64)90131-7 · Cited by 1,758
How to Generate Cryptographically Strong Sequences of Pseudorandom Bits
Blum, M., & Micali, S. (1984) · SIAM Journal on Computing · doi:10.1137/0213053 · Cited by 1,322
Self-citationThe definition of random sequences
Martin-Löf, P. (1966) · Information and Control · doi:10.1016/s0019-9958(66)80018-9 · Cited by 1,220
A Simple Unpredictable Pseudo-Random Number Generator
Blum, L., Blum, M., & Shub, M. (1986) · SIAM Journal on Computing · doi:10.1137/0215025 · Cited by 1,036
DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATION
Rabin, M. O. (1979) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 1,020
Theory and application of trapdoor functions
Yao, A. C.-C. (1982) · doi:10.1109/sfcs.1982.95 · Cited by 1,008
Cited by
Handbook of applied cryptography
(1997) · Choice Reviews Online · doi:10.5860/choice.34-4512 · Cited by 10,357
Learnability and the Vapnik-Chervonenkis dimension
Blumer, A., Ehrenfeucht, A., Haussler, D., & Warmuth, M. K. (1989) · Journal of the ACM · doi:10.1145/76359.76371 · Cited by 1,839
Entity Authentication and Key Distribution
Bellare, M., & Rogaway, P. (2007) · Lecture Notes in Computer Science · doi:10.1007/3-540-48329-2_21 · Cited by 1,752
Keyword Search and Oblivious Pseudorandom Functions
Freedman, M. J., Ishai, Y., Pinkas, B., & Reingold, O. (2005) · Lecture Notes in Computer Science · doi:10.1007/978-3-540-30576-7_17 · Cited by 441
Micali, S. (2000) · SIAM Journal on Computing · doi:10.1137/s0097539795284959 · Cited by 424
Self-citation
Metadata
- Authors
- Goldreich, O., Goldwasser, S., & Micali, S.
- Venue
- Journal of the ACM
- Published
- 1986-08-10
- Volume
- 33
- Issue
- 4
- Pages
- 792-807
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2117362057
- Cited by
- 2,115
- References
- 28
- FWCI
- 15.23
- Type
- journal article
- Language
- en
- Open access
- bronze
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
