Research Article
Year 2023,
Volume: 5 Issue: 1, 11 - 14, 26.06.2023
Abstract
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.
- 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.
Year 2023,
Volume: 5 Issue: 1, 11 - 14, 26.06.2023
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.
- 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.
There are 11 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | June 21, 2023 |
| Publication Date | June 26, 2023 |
| Published in Issue | Year 2023 Volume: 5 Issue: 1 |