| dc.contributor.author | Keevash, Peter | |
| dc.contributor.author | Sah, Ashwin | |
| dc.contributor.author | Sawhney, Mehtaab | |
| dc.date.accessioned | 2025-10-27T14:39:09Z | |
| dc.date.available | 2025-10-27T14:39:09Z | |
| dc.date.issued | 2025-07-17 | |
| dc.identifier.issn | 0024-6115 | |
| dc.identifier.issn | 1460-244X | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/163394 | |
| dc.description.abstract | We prove the existence of subspace designs with anygiven parameters, provided that the dimension of theunderlying space is sufficiently large in terms of theother parameters of the design and satisfies the obvi-ous necessary divisibility conditions. This settles an openproblem from the 1970s. Moreover, we also obtain anapproximate formula for the number of such designs. | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.isversionof | https://doi.org/10.1112/plms.70071 | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Wiley | en_US |
| dc.title | The existence of subspace designs | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Keevash, P., Sah, A. and Sawhney, M. (2025), The existence of subspace designs. Proc. London Math. Soc., 131: e70071. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Proceedings of the London Mathematical Society | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.identifier.doi | https://doi.org/10.1112/plms.70071 | |
| dspace.date.submission | 2025-10-27T14:31:13Z | |
| mit.journal.volume | 131 | en_US |
| mit.journal.issue | 1 | en_US |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
