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On the inherent intractability of certain coding problems (Corresp.)
Open accessAbstract
The fact that the general decoding problem for linear codes and the general problem of finding the weights of a linear code are both NP-complete is shown. This strongly suggests, but does not rigorously imply, that no algorithm for either of these problems which runs in polynomial time exists.
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Cited by
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Fernandez-Carames, T. M., & Fraga-Lamas, P. (2020) · IEEE Access · doi:10.1109/access.2020.2968985 · Cited by 607
Quantum machine learning: a classical perspective
Ciliberto, C., Herbster, M., Ialongo, A. D., Pontil, M., Rocchetto, A., Severini, S., & Wossnig, L. (2018) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2017.0551 · Cited by 518
A method for finding codewords of small weight
Stern, J. (2006) · Lecture Notes in Computer Science · doi:10.1007/bfb0019850 · Cited by 464
Metadata
- Authors
- Berlekamp, E., McEliece, R., & van Tilborg, H.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1978-05
- Volume
- 24
- Issue
- 3
- Pages
- 384-386
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W2035929826
- Cited by
- 1,523
- References
- 0
- FWCI
- 2.60
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: On the inherent intractability of certain coding problems (Corresp.). https://app.cochat.ai/papers/10.1109/tit.1978.1055873
- The paper
- Berlekamp, E., McEliece, R., & van Tilborg, H. (1978). On the inherent intractability of certain coding problems (Corresp.). IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1978.1055873
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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.
