The DOI matches its Crossref record.
The development of the number field sieve
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Citations
Cited by
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1999) · SIAM Review · doi:10.1137/s0036144598347011 · Cited by 3,904
How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits
Gidney, C., & Ekerå, M. (2021) · Quantum · doi:10.22331/q-2021-04-15-433 · Cited by 830
The Gap-Problems: A New Class of Problems for the Security of Cryptographic Schemes
Okamoto, T., & Pointcheval, D. (2001) · Lecture Notes in Computer Science · doi:10.1007/3-540-44586-2_8 · Cited by 477
Factorization of a 768-Bit RSA Modulus
Kleinjung, T., Aoki, K., Franke, J., Lenstra, A. K., Thomé, E., Bos, J. W., Gaudry, P., Kruppa, A., Montgomery, P. L., Osvik, D. A., et al. (2010) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-14623-7_18 · Cited by 423
Self-citationOn the Exact Security of Full Domain Hash
Coron, J.-S. (2000) · Lecture Notes in Computer Science · doi:10.1007/3-540-44598-6_14 · Cited by 347
Quantum algorithms for algebraic problems
Childs, A. M., & van Dam, W. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1 · Cited by 344
Bulk quantum computation with nuclear magnetic resonance: theory and experiment
Chuang, I. L., Gershenfeld, N., Kubinec, M. G., & Leung, D. W. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0170 · Cited by 316
Quantum Computers, Factoring, and Decoherence
Chuang, I. L., Laflamme, R., Shor, P. W., & Zurek, W. H. (1995) · Science · doi:10.1126/science.270.5242.1633 · Cited by 289
Quantum Resource Estimates for Computing Elliptic Curve Discrete Logarithms
Roetteler, M., Naehrig, M., Svore, K. M., & Lauter, K. (2017) · Lecture Notes in Computer Science · doi:10.1007/978-3-319-70697-9_9 · Cited by 212
Comparing the Difficulty of Factorization and Discrete Logarithm: A 240-Digit Experiment
Boudot, F., Gaudry, P., Guillevic, A., Heninger, N., Thomé, E., & Zimmermann, P. (2020) · Lecture Notes in Computer Science · doi:10.1007/978-3-030-56880-1_3 · Cited by 71
Analysis of RSA and Shor’s algorithm for cryptography: A quantum perspective
Kute, S., Desai, C., & Jadhav, M. (2024) · AIP Conference Proceedings · doi:10.1063/5.0227773 · Cited by 5
Metadata
- Venue
- Lecture Notes in Mathematics
- Publisher
- Springer Berlin Heidelberg
- Published
- 1993
- ISSN
- 0075-8434 (ISSN-L)
- 1617-9692
- OpenAlex
- W2179025976
- Cited by
- 574
- References
- 0
- FWCI
- 23.20
- Type
- book
- Language
- en
- Open access
- green
About these checks
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.
Statistics and arithmetic are recomputed, not judged.
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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.