The Optimal Size of {b, t} - Blocking Set When t = 3,4 by Intersection the Tangent in PG (2, q)

Shaymaa Haleem Ibrahim and Nada Yassen Kasm

Modern Applied Science, 2019, vol. 13, issue 7, 15

Abstract: In this research, we have been able to construct a triple blocking set of optimal size - {4q, 3} Based on the theorem (1.4.7) (Maruta, 2017, pp. 1-47).Without improving the minimum constraint of the projection level PG (2, q) We have also been able to develop the theorem (2.3.2) to construct quadratic blocking set of optimal size {5q + 1,4} - After we have engineered a quadratic blocking set of an optimal size for the projection plane PG (2,1.3) In the example (2.3.1).In general, we were able to conclude theorems (2.3.3) and (2.3.4) for construct engineered blocking sets with an optimal size when t = 3,4.

Date: 2019
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