On Almost Complete Caps in PG(N, q)

On Almost Complete Caps in PG(N, q) AbstractWe propose the concepts of almost complete subset of an elliptic quadric in the projective space PG(3, q) and of almost complete cap in the space PG(N, q), N ≥ 3, as generalizations of the concepts of almost complete subset of a conic and of almost complete arc in PG(2, q). Upper bounds of the smallest size of the introduced geometrical objects are obtained by probabilistic and algorithmic methods. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Cybernetics and Information Technologies de Gruyter

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Publisher
Sciendo
Copyright
© 2018 Alexander A. Davydov et al., published by Sciendo
ISSN
1314-4081
eISSN
1314-4081
D.O.I.
10.2478/cait-2018-0020
Publisher site
See Article on Publisher Site

Abstract

AbstractWe propose the concepts of almost complete subset of an elliptic quadric in the projective space PG(3, q) and of almost complete cap in the space PG(N, q), N ≥ 3, as generalizations of the concepts of almost complete subset of a conic and of almost complete arc in PG(2, q). Upper bounds of the smallest size of the introduced geometrical objects are obtained by probabilistic and algorithmic methods.

Journal

Cybernetics and Information Technologiesde Gruyter

Published: May 1, 2018

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