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A new efficient algorithm for computing Gröbner bases (F4)
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Cited by
A new efficient algorithm for computing Gröbner bases without reduction to zero ( F 5 )
Faugère, J. C. (2002) · Proceedings of the 2002 international symposium on Symbolic and algebraic computation · doi:10.1145/780506.780516 · Cited by 785
Self-citationCube Attacks on Tweakable Black Box Polynomials
Dinur, I., & Shamir, A. (2009) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-01001-9_16 · Cited by 451
Status report on the third round of the NIST Post-Quantum Cryptography Standardization process
Alagic, G., Apon, D., Cooper, D., Dang, Q., Dang, T., Kelsey, J., Lichtinger, J., Liu, Y.-K., Miller, C., Moody, D., et al. (2022) · doi:10.6028/nist.ir.8413-upd1 · Cited by 301
(2009) · Cited by 54
Structural cryptanalysis of McEliece schemes with compact keys
Faugère, J.-C., Otmani, A., Perret, L., de Portzamparc, F., & Tillich, J.-P. (2016) · Designs, Codes and Cryptography · doi:10.1007/s10623-015-0036-z · Cited by 49
Self-citation
Metadata
- Authors
- Faugére, J.-C.
- Venue
- Journal of Pure and Applied Algebra
- Publisher
- Elsevier BV
- Published
- 1999-06
- Volume
- 139
- Issue
- 1-3
- Pages
- 61-88
- ISSN
- 0022-4049 (ISSN-L)
- OpenAlex
- W2128687423
- Cited by
- 1,145
- References
- 0
- FWCI
- 13.34
- Type
- journal article
- Language
- en
- Open access
- bronze
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: A new efficient algorithm for computing Gröbner bases (F4). https://app.cochat.ai/papers/10.1016/s0022-4049(99)00005-5
- The paper
- Faugére, J.-C. (1999). A new efficient algorithm for computing Gröbner bases (F4). Journal of Pure and Applied Algebra. https://doi.org/10.1016/s0022-4049(99)00005-5
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.
