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

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  • Shaymaa Haleem Ibrahim
  • Nada Yassen Kasm

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.

Suggested Citation

  • Shaymaa Haleem Ibrahim & Nada Yassen Kasm, 2019. "The Optimal Size of {b, t} - Blocking Set When t = 3,4 by Intersection the Tangent in PG (2, q)," Modern Applied Science, Canadian Center of Science and Education, vol. 13(7), pages 1-15, July.
    • Handle: RePEc:ibn:masjnl:v:13:y:2019:i:7:p:15
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    References listed on IDEAS

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    1. Nada Yassen Kasm & Zyiad Adrees Hamad, 2019. "Applications of Algebraic Geometry in Cryptography," Modern Applied Science, Canadian Center of Science and Education, vol. 13(5), pages 130-130, May.
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      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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