Partitions of finite vector spaces into subspaces

DOI10.1002/jcd.20167zbMath1176.05018OpenAlexW2166810599MaRDI QIDQ3522844

Charles Vanden Eynden, Lawrence E. Spence, Papa Amar Sissokho, George F. Seelinger, Saad I. El-Zanati

Publication date: 4 September 2008

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.20167

zbMATH Keywords

uniformly resolvable designspartitions of finite Abelian groupspartitions of finite vector spaces

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (14)

Vector spaces as unions of proper subspaces ⋮ Decomposing the real line into Borel sets closed under addition ⋮ The lattice of finite subspace partitions ⋮ On \(\lambda \)-fold partitions of finite vector spaces and duality ⋮ Gaussian partitions ⋮ Partitions of V(n, q) into 2‐ and s‐Dimensional Subspaces ⋮ Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums ⋮ The structure of the minimum size supertail of a subspace partition ⋮ Partitions of finite vector spaces over \(\mathrm{GF}(2)\) into subspaces of dimensions 2 and \(s\) ⋮ Partitions of the 8-dimensional vector space over GF(2) ⋮ The complete characterization of the minimum size supertail in a subspace partition ⋮ On vector space partitions and uniformly resolvable designs ⋮ Necessary and sufficient conditions for the existence of a class of partitions of a finite vector space ⋮ On partitions of finite vector spaces of low dimension over \(\text{GF}(2)\)

Cites Work

• Partitions of finite Abelian groups
• Group Partitions and Mixed Perfect Codes

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