Some necessary conditions for vector space partitions

2011/01/19 by Olof Heden, Juliane Lehmann, Heden, Olof +1 · 1 citation
Computer Science · Engineering · Mathematics · #05A20 #05B40 #52C17 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1101.3745

openalex publication_date 2011/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some new necessary conditions for the existence of vector space partitions are derived. They are applied to the problem of finding the maximum number of spaces of dimension t in a vector space partition of V(2t,q) that contains m_d spaces of dimension d, where t/2

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