The maximum size of a partial spread in a finite projective space

DOI10.1016/j.jcta.2017.06.012zbMath1375.51003arXiv1605.04824OpenAlexW2964320238MaRDI QIDQ2401987

Esmeralda L. Năstase, Papa Amar Sissokho

Publication date: 5 September 2017

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04824

zbMATH Keywords

partial spreadssubspace codesGalois geometrysubspace partitions\(q\)-Kneser graph

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Finite partial geometries (general), nets, partial spreads (51E14)

Related Items (11)

Almost affinely disjoint subspaces and covering Grassmannian codes ⋮ The chromatic index of finite projective spaces ⋮ Combining subspace codes ⋮ Domination mappings into the Hamming ball: existence, constructions, and algorithms ⋮ New lower bounds for partial k‐parallelisms ⋮ Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6 ⋮ Classification of large partial plane spreads in \(\mathrm{PG}(6,2)\) and related combinatorial objects ⋮ Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums ⋮ A stability result and a spectrum result on constant dimension codes ⋮ Generalized vector space partitions ⋮ Johnson type bounds for mixed dimension subspace codes

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