KaydedilenlerDerginizi ekleyin

Dergiler / Hagia Sophia Journal of Geometry / 2023 / Cilt: 5 Sayı: 1

Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$

Elif ALTINTAŞ
Ayşe BAYAR
Sayfa
11–14
Yayın Tarihi
2023-06-26
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this study, the complete $(k,2)$-arcs in the projective plane of order $5$ coordinatized by elements of GF$(5)$ are investigated by applying the algorithm (implemented in C#) to determine arcs.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, the complete $(k,2)$-arcs in the projective plane of order $5$ coordinatized by elements of GF$(5)$ are investigated by applying the algorithm (implemented in C#) to determine arcs.
📊
Temel Bulgular & Veri:In this study, the complete $(k,2)$-arcs in the projective plane of order $5$ coordinatized by elements of GF$(5)$ are investigated by applying the algorithm (implemented in C#) to determine arcs.
💡
Sonuç & Katkı:In this study, the complete $(k,2)$-arcs in the projective plane of order $5$ coordinatized by elements of GF$(5)$ are investigated by applying the algorithm (implemented in C#) to determine arcs.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Projective Plane --- (k · 2)-arc · projective plane

Abstract

In this study, the complete $(k,2)$-arcs in the projective plane of order $5$ coordinatized by elements of GF$(5)$ are investigated by applying the algorithm (implemented in C#) to determine arcs.

🔖

Bu Makaleye Atıf Yap

ALTINTAŞ, E., BAYAR, A. (2023). Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$. Hagia Sophia Journal of Geometry, Cilt: 5 Sayı: 1, 11–14. https://ajindex.com/articles/946103

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. Hirschfeld, J.W.P. & Thas, J.A. (2016). General Galois geometries. Springer Monographs in Mathematics, Springer- Verlag London. Bayar, A., Akça, Z., Altıntas, E. & Ekmekci, S. (2016). On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9. New Trends in Mathematical Science. 4(4), 266-275.
  2. Ekmekçi, S., Bayar, A., Altıntas, E. & Akça, Z. (2016). On the Complete (k, 2)-arcs of the Hall plane of order 9. International Journal of Advanced Research in Computer Science and Software Engineering. 6(10), 282-288.
  3. Akça, Z., Ekmekci, S. & Bayar, A. (2016). On Fano configurations of the left Hall plane of order 9. Konuralp Journal of Mathematics. 4(2), 116-123.
  4. Akça, Z. & Altıntaş, A. (2021). A note on Fano configurations in the Projective space PG(5,2). Konuralp Journal of Mathematics. 9(1), 190-192.
  5. Akça, Z. (2011). A numerical computation of (k,3)-arcs in the left semifield plane of order 9. International Electronic Journal of Geometry. 4(2), 13-21.
  6. Akça, Z. & Günaltılı, İ. (2012). On the (k,3)-arcs of CPG(2,25,5). Anadolu University Journal of Science and Technology-B Theoretical Sciences. 2(1), 21-27.
  7. Qassim B.A. (2020). The construction for the arcs (8,4)-from the two arcs (7,4)-in PG(2,q), q=5. J. Phys.: Conf. Ser. 1664(1), 012039.
  8. Hirschfeld, J.W.P. & Thas, J.A. (1991). General Galois geometries. The Charendon Press,
  9. Oxford. Hall M. (1943). Projective planes. Trans. Am. Math. Soc. 54, 229-277.
  10. Hall M., Swift Jr, J.D. & Killgrove R. (1959). On projective planes of order nine. Mathematics of Computation. 13(68), 233-246.