Displaying similar documents to “A Necessary and Sufficient Condition for the Existence of an (n,r)-arc in PG(2,q) and Its Applications”

The Nonexistence of some Griesmer Arcs in PG(4, 5)

Landjev, Ivan, Rousseva, Assia (2008)

Serdica Journal of Computing

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In this paper, we prove the nonexistence of arcs with parameters (232, 48) and (233, 48) in PG(4,5). This rules out the existence of linear codes with parameters [232,5,184] and [233,5,185] over the field with five elements and improves two instances in the recent tables by Maruta, Shinohara and Kikui of optimal codes of dimension 5 over F5.

The arc-width of a graph.

Barát, János, Hajnal, Péter (2001)

The Electronic Journal of Combinatorics [electronic only]

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On the generation of a simple surface by means of a set of equicontinuous curves

Robert Moore (1923)

Fundamenta Mathematicae

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The purpose of this article is to prove: Theorem: Suppose that, in a given three dimensional space S, ABCD is a rectangle and G is a self-compact set of simple continuous arcs such that: 1. through each point of ABCD there is just one arc of G, 2. BC and AD are arcs of G, 3. no two arcs of G have a point in common, 4. each arc of G has one endpoint on the interval AB and one endpoint on the interval CD but contains no other point in common with either of these intervals, 5. the set of...