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Small complete arcs in Galois planes

✍ Scribed by Tamás Szőnyi

Publisher
Springer
Year
1985
Tongue
English
Weight
451 KB
Volume
18
Category
Article
ISSN
0046-5755

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✦ Synopsis

In this paper we construct a class of k-arcs in PG(2, q), q = p~, h > 1, p ¢ 3 and prove its completeness for h large enough. The main result states that this class contains complete k-arcs with k ~< 2. q9/lo (10 divides h and q ~> qo).

Such complete k-arcs are the unique known complete k-arcs with k <. N q/4.

📜 SIMILAR VOLUMES

Small Complete Arcs in PG(2,p)
Small Complete Arcs in PG(2,p)
✍ Éva Hadnagy 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 122 KB

In this paper we construct a large family of complete arcs. Let p be a prime. For any integer k satisfying there exists a complete arc of size k in PG(2, p).