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The Frobenius number and partitions of a finite vector space

โœ Scribed by Olof Heden

Book ID
112620789
Publisher
Springer
Year
1984
Tongue
English
Weight
341 KB
Volume
42
Category
Article
ISSN
0003-889X

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Let V = V(n,q) denote the vector space of dimension n over GF(q). A set of subspaces of V is called a partition of V if every nonzero vector in V is contained in exactly one subspace of V. Given a partition P of V with exactly a i subspaces of dimension i for 1 โ‰ค i โ‰ค n, we have n i=1 a i (q i -1) =