Maximal Sets of Pairwise Orthogonal Vectors in Finite Fields

Lê Anh Vinh · Canadian Mathematical Bulletin · 2011

Abstract Given a positive integern, a finite field ofqelements (qodd), and a non-degenerate symmetric bilinear formBon , we determine the largest possible cardinality of pairwiseB-orthogonal subsets , that is, for any two vectorsx,y∈ Ε, one hasB(x,y) = 0.

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