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On the uniqueness of (q + 1)4-arcs of PG(4, q), q = 2h, h ⩾ 3

✍ Scribed by L.R.A Casse; D.G Glynn

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
579 KB
Volume
48
Category
Article
ISSN
0012-365X

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✦ Synopsis

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 is some positive integer greater than 2.

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