✦ LIBER ✦

Arcs, blocking sets, and minihypers

✍ Scribed by N. Hamada; T. Helleseth

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 608 KB
Volume: 39
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00122-x

No coin nor oath required. For personal study only.

✦ Synopsis

A (k, n)-arc in a finite projective plane IIq of order q is a set of k points with some n but non+l collinear points where k > n and 2 < n < q. The maximum value ofk for which a (k,n)-arc exists in PG(2, q) is denoted by mn(2, q). It is well known that if n is not a divisor of q, then mn(2, q) < (n -1)q + n -3. The purpose of this paper is to improve this upper bound on m,~ (2, q) using the nonexistence of some minihypers in PG(2, q) and to characterize some minihypers in PG(t, q) where t _> 3. (~) 2000 Elsevier Science Ltd. All rights reserved.

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