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A class of ((p n−p m)(p n−1), p n−p m)-arcs in PG(2, p n) (1984)

Mason, J. R. M.

Springer

Geometriae dedicata 15 (1984), S. 355-361

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ISSN: 1572-9168

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A (k, d)-arc in PG(2, q) is a set of k points such that some d, but no d+1, of them are collinear. An outstanding problem is to find the maximum value of k for which a (k, d)-arc exists. A construction is given for a class of (k, p n−p m)-arcs in PG(2, p n). These arcs constitute a lower bound on the maximum possible value of k, and a subset of them is shown to be optimal.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00211704

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