Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, Cilt: 5 Sayı: 1, 11 - 14, 26.06.2023

Öz

Kaynakça

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Hirschfeld, J.W.P. & Thas, J.A. (1991). General Galois geometries. The Charendon Press, Oxford.
  • Hall M. (1943). Projective planes. Trans. Am. Math. Soc. 54, 229-277.
  • Hall M., Swift Jr, J.D. & Killgrove R. (1959). On projective planes of order nine. Mathematics of Computation. 13(68), 233-246.

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

Yıl 2023, Cilt: 5 Sayı: 1, 11 - 14, 26.06.2023

Öz

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.

Kaynakça

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Hirschfeld, J.W.P. & Thas, J.A. (1991). General Galois geometries. The Charendon Press, Oxford.
  • Hall M. (1943). Projective planes. Trans. Am. Math. Soc. 54, 229-277.
  • Hall M., Swift Jr, J.D. & Killgrove R. (1959). On projective planes of order nine. Mathematics of Computation. 13(68), 233-246.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Elif Altıntaş

Ayşe Bayar

Erken Görünüm Tarihi 21 Haziran 2023
Yayımlanma Tarihi 26 Haziran 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 5 Sayı: 1

Kaynak Göster

APA Altıntaş, E., & Bayar, A. (2023). Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$. Hagia Sophia Journal of Geometry, 5(1), 11-14.