The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
How to Generate Cryptographically Strong Sequences of Pseudorandom Bits
Abstract
We give a set of conditions that allow one to generate 50–50 unpredictable bits.Based on those conditions, we present a general algorithmic scheme for constructing polynomial-time deterministic algorithms that stretch a short secret random input into a long sequence of unpredictable pseudo-random bits. We give an implementation of our scheme and exhibit a pseudo-random bit generator for which any efficient strategy for predicting the next output bit with better than 50–50 chance is easily transformable to an “equally efficient” algorithm for solving the discrete logarithm problem. In particular: if the discrete logarithm problem cannot be solved in probabilistic polynomial time, no probabilistic polynomial-time algorithm can guess the next output bit better than by flipping a coin: if “head” guess “0”, if “tail” guess “1”
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Citations
Cites
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
The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Cited by
Practical Secure Aggregation for Privacy-Preserving Machine Learning
Bonawitz, K., Ivanov, V., Kreuter, B., Marcedone, A., McMahan, H. B., Patel, S., Ramage, D., Segal, A., & Seth, K. (2017) · Proceedings of the 2017 ACM SIGSAC Conference on Computer and Communications Security · doi:10.1145/3133956.3133982 · Cited by 3,956
Goldreich, O., Micali, S., & Wigderson, A. (1987) · Proceedings of the nineteenth annual ACM conference on Theory of computing - STOC '87 · doi:10.1145/28395.28420 · Cited by 3,590
Self-citationHow to construct random functions
Goldreich, O., Goldwasser, S., & Micali, S. (1986) · Journal of the ACM · doi:10.1145/6490.6503 · Cited by 2,115
Self-citationEntity 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
How to time-stamp a digital document
Haber, S., & Stornetta, W. S. (1991) · Journal of Cryptology · doi:10.1007/bf00196791 · Cited by 1,483
Metadata
- Authors
- Blum, M., & Micali, S.
- Venue
- SIAM Journal on Computing
- Published
- 1984-11
- Volume
- 13
- Issue
- 4
- Pages
- 850-864
- ISSN
- 0097-5397 (ISSN-L)
- 1095-7111
- OpenAlex
- W2164284862
- Cited by
- 1,322
- References
- 2
- FWCI
- 19.14
- Type
- journal article
- Language
- en
- Open access
- closed
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- Blum, M., & Micali, S. (1984). How to Generate Cryptographically Strong Sequences of Pseudorandom Bits. SIAM Journal on Computing. https://doi.org/10.1137/0213053
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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.
