The existence of subspace designs

Author(s)
Keevash, Peter; Sah, Ashwin; Sawhney, Mehtaab
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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.
Date issued
2025-07-17
URI
https://hdl.handle.net/1721.1/163394
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Proceedings of the London Mathematical Society
Publisher
Wiley
Citation
Keevash, P., Sah, A. and Sawhney, M. (2025), The existence of subspace designs. Proc. London Math. Soc., 131: e70071.
Version: Final published version
ISSN
0024-6115
1460-244X
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