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On small complete arcs in a finite plane

✍ Scribed by Simeon Ball


Book ID
108316107
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
258 KB
Volume
174
Category
Article
ISSN
0012-365X

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Small complete arcs in Galois planes
✍ Tamás Szőnyi 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 451 KB

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