Research Article

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

Volume: 5 Number: 1 June 26, 2023
EN

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

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.

Keywords

References

  1. Hirschfeld, J.W.P. & Thas, J.A. (2016). General Galois geometries. Springer Monographs in Mathematics, Springer- Verlag London.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ayşe Bayar
Türkiye

Early Pub Date

June 21, 2023

Publication Date

June 26, 2023

Submission Date

December 19, 2022

Acceptance Date

March 16, 2023

Published in Issue

Year 2023 Volume: 5 Number: 1

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. https://izlik.org/JA45ZW92HG
AMA
1.Altıntaş E, Bayar A. Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$. HSJG. 2023;5(1):11-14. https://izlik.org/JA45ZW92HG
Chicago
Altıntaş, Elif, and Ayşe Bayar. 2023. “Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$”. Hagia Sophia Journal of Geometry 5 (1): 11-14. https://izlik.org/JA45ZW92HG.
EndNote
Altıntaş E, Bayar A (June 1, 2023) Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$. Hagia Sophia Journal of Geometry 5 1 11–14.
IEEE
[1]E. Altıntaş and A. Bayar, “Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$”, HSJG, vol. 5, no. 1, pp. 11–14, June 2023, [Online]. Available: https://izlik.org/JA45ZW92HG
ISNAD
Altıntaş, Elif - Bayar, Ayşe. “Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$”. Hagia Sophia Journal of Geometry 5/1 (June 1, 2023): 11-14. https://izlik.org/JA45ZW92HG.
JAMA
1.Altıntaş E, Bayar A. Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$. HSJG. 2023;5:11–14.
MLA
Altıntaş, Elif, and Ayşe Bayar. “Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$”. Hagia Sophia Journal of Geometry, vol. 5, no. 1, June 2023, pp. 11-14, https://izlik.org/JA45ZW92HG.
Vancouver
1.Elif Altıntaş, Ayşe Bayar. Complete $\mathbf{(k,2)}$-Arcs in the Projective Plane Order $\mathbf{5}$. HSJG [Internet]. 2023 Jun. 1;5(1):11-4. Available from: https://izlik.org/JA45ZW92HG