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Complete k-arcs in PG(n, q), q even

✍ Scribed by L. Storme; J.A. Thas

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 981 KB
Volume: 106-107
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90576-2

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✦ Synopsis

Storme, L., J.A. Thas, Complete k-arcs in PG(n, q), q even, Discrete Mathematics 106/107 (1992) 455-469. This paper investigates the completeness of k-arcs in PG(n, q), q even. We determine all values of k for which there exists a complete k-arc in PG(n, q), q -2 2 n > q -G/2 -y. This is proven by using the duality principle between k-arcs in PG(n, q) and dual k-arcs in PG(k -n -2, q) (k 3 n + 4). The theorems show that the classification of all complete k-arcs in PG(n, q), q even and q -2 Z= n > q -G/2 -2, is closely related to the classification of all (q +2)-arcs in PG(2, q).

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