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Complete arcs and algebraic curves in PG(2, q)

✍ Scribed by J.A Thas

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 741 KB
Volume: 106
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(87)90007-x

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## Abstract Based on the classification of superregular matrices, the numbers of non‐equivalent __n__‐arcs and complete __n__‐arcs in PG(__r__, __q__) are determined (i) for 4 ≤ __q__ ≤ 19, 2 ≤ __r__ ≤ q − 2 and arbitrary __n__, (ii) for 23 ≤ __q__ ≤ 32, __r__ = 2 and __n__ ≥ q − 8<$>. The equivale