Necessary and sufficient conditions for the existence of a class of partitions of a finite vector space

DOI10.1007/s10623-009-9292-0zbMath1181.51005OpenAlexW2081139090MaRDI QIDQ1035808

Olof Heden

Publication date: 4 November 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-009-9292-0

zbMATH Keywords

vector space partitions

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (7)

A SURVEY OF THE DIFFERENT TYPES OF VECTOR SPACE PARTITIONS ⋮ Gaussian partitions ⋮ Some necessary conditions for vector space partitions ⋮ Partitions of V(n, q) into 2‐ and s‐Dimensional Subspaces ⋮ Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums ⋮ 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)

Cites Work

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• On partitions of finite vector spaces of small dimensions
• On vector space partitions and uniformly resolvable designs
• Partitions of finite Abelian groups
• Partitions of a vector space
• Partitions of finite vector spaces: an application of the Frobenius number in geometry
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Partitions of finite vector spaces into subspaces
• Group Partitions and Mixed Perfect Codes
• A new construction of group and nongroup perfect codes
• Group Partition, Factorization and the Vector Covering Problem

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