On small dense arcs in Galois planes of square order

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On small dense arcs in Galois planes of square order

In the Galois projective plane of square order q, we show the existence of small dense (k; 4)-arcs whose points lie on two conics for q odd, and on two hyperovals for q even. We provide an explicit construction of (4 √ q− 4; 2)-arcs for q even, and we also show that they are complete as far as q6 1024. c © 2002 Elsevier Science B.V. All rights reserved.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2003

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(02)00607-6