The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Theory and application of trapdoor functions
Abstract
The purpose of this paper is to introduce a new information theory and explore its appplications. Using modern computational complexity, we study the notion of information that can be accessed through a feasible computation. In Part 1 of this paper, we lay the foundation of the theory and set up a framework for cryptography and pseudorandom number generation. In Part 2, we study the concept of trapdoor functions and examine applications of such functions in cryptography, pseudorandom number generation, and abstract complexity theory.
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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
Communication Theory of Secrecy Systems
Shannon, C. E. (1949) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1949.tb00928.x · Cited by 9,440
The complexity of computing the permanent
Valiant, L. G. (1979) · Theoretical Computer Science · doi:10.1016/0304-3975(79)90044-6 · Cited by 2,705
Bennett, C. H., & Gill, J. (1981) · SIAM Journal on Computing · doi:10.1137/0210008 · Cited by 381
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
The knowledge complexity of interactive proof systems
Goldwasser, S., Micali, S., & Rackoff, C. (1989) · SIAM Journal on Computing · doi:10.1137/0218012 · Cited by 3,285
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
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
How to Construct Pseudorandom Permutations from Pseudorandom Functions
Luby, M., & Rackoff, C. (1988) · SIAM Journal on Computing · doi:10.1137/0217022 · Cited by 938
Metadata
- Authors
- Yao, A. C.
- Venue
- 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)
- Publisher
- IEEE
- Published
- 1982-11
- Pages
- 80-91
- ISSN
- 0272-5428 (ISSN-L)
- OpenAlex
- W3150645827
- Cited by
- 968
- References
- 4
- FWCI
- 5.07
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Theory and application of trapdoor functions. https://app.cochat.ai/papers/10.1109/sfcs.1982.45
- The paper
- Yao, A. C. (1982). Theory and application of trapdoor functions. 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982). https://doi.org/10.1109/sfcs.1982.45
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.
