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
- 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.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
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