Geodesic
Maximal Sets of Pairwise Orthogonal Vectors in Finite Fields
Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 418-423

Voir la notice de l'article provenant de la source Cambridge University Press

Given a positive integer $n$ , a finite field ${{\mathbb{F}}_{q}}$ of $q$ elements ( $q$ odd), and a non-degenerate symmetric bilinear form $B$ on $\mathbb{F}_{q}^{n}$ , we determine the largest possible cardinality of pairwise $B$ -orthogonal subsets $\varepsilon \,\subseteq \,\mathbb{F}_{q}^{n}$ , that is, for any two vectors $x,\,y\,\in \,\varepsilon $ , one has $B(x,\,y)\,=\,0$ .
DOI : 10.4153/CMB-2011-160-x
Mots-clés : 05B25, orthogonal sets, zero-distance sets 
Vinh, Le Anh. Maximal Sets of Pairwise Orthogonal Vectors in Finite Fields. Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 418-423. doi: 10.4153/CMB-2011-160-x
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