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On the Rank of Certain Incidence Matrices over GF(2)

✍ Scribed by Phillip McClurg

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 109 KB
Volume: 20
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1999.0292

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✦ Synopsis

Let V be a vector space of dimension n ≥ 3 over GF(2). We are concerned with the incidence of k-dimensional subspaces in (k + 2)-dimensional subspaces where 1 ≤ k ≤ n -2. We compute here an upper bound for the rank of the associated incidence matrices over GF(2).

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