On (q2+q+ 2,q+ 2)-arcs in the Projective Plane PG(2,q)
β Scribed by Simeon Ball; Ray Hill; Ivan Landjev; Harold Ward
- Book ID
- 110299129
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 143 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0925-1022
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## Abstract We have classified by computer the projectively distinct complete (**__k__**, **3**)βarcs in **PG**(**2**, **__q__**), **__q__**β€**13**. The algorithm used is an application of isomorphβfree backtracking using canonical augmentation, an adaptation of our earlier algorithms for the gener
Two results are proved: (1) In PG(3, q), q=2 h, h>~3, every q3-arc can be uniquely completed to a (q + 1)3-arc. (2) In PG(4, q), q = 2", h ~> 3, every (q + 1)4-arc is a normal rational curve. ## 1. In~oduction We assume throughout this paper that the base field GF(q) is of order q = 2 h, where h i
The automorphism group of the set of 12 points associated with an apolar system of conics is determined. A complete (q -&arc for q = 13 can be obtained as a special case. The orbits of its automorphism group are also described. 0 I Y Y ~ John Wile?. & Sons, h e .