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ON THE (k,3)-ARCS OF CPG(2,25,5)

Cilt: 2 Sayı: 1 21 Mayıs 2012
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ON THE (k,3)-ARCS OF CPG(2,25,5)

Öz

In the present paper, the algorithm for the classification of the (k,3)- arcs and some examples of the (k,3)-arcs in the projective plane of order 25 over the smallest Cartesian Group are given.

Anahtar Kelimeler

(k, 3)-arcs, Projective plane, Baer subplane, Cartesian Group, Computer search.

Kaynakça

  1. Akça, Z. (1991). The construction of the cartesian group plane of order 25, M. Sc thesis, Eskişehir, Turkey: University of Anadolu.
  2. Akça, Z. and Kaya, R. (1997). On the subplane of the cartesian group plane of order 25: Proceedings of the X. National Mathematics Conference, Abant Izzet Baysal University, Bolu (Turkey), 1-7.
  3. 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), 13-20.
  4. Ball, S. (1996). Multiple blocking sets and arcs in finite planes, Journal of London Mathematical Society 54, 581-593.
  5. Ball, S. (2005). Hirschfeld J. W. P, Bounds on -arcs and their application to linear codes, Finite Fields and Their Applications 11, 326-336.
  6. Coolsaet, K. and Sticker, H. (2010). The complete k-arcs of PG(2,27) and PG(2,29), Journal of Combinatorial Desings 111-130.
  7. Daskalov, R.N. and Contreras, M.E.J. (2004). New (k;r)-arcs in the projective plane of order thirteen, Journal of Geometry 80, 10-22.
  8. Hirschfeld, J.W.P. (1998). Projective Geometries over Finite Fields, second edition, Oxford University Press. Oxford.
  9. Hirschfeld, J.W.P. and Storme, L. (2000). The packing problem in statistics, coding theory and finite projective spaces: update 2001, in: Finite Geometries, Proceedings of the Fourth Isle of Thorns Conference A. Blokhuis, J.W.P. Hirschfeld, D. Jungnickel and J.A. Thas, Eds., Developments in Mathematics, Kluwer Academic Publishers, Boston 201-246.
  10. Marcugini, S., Milani, A. and Pambianco, F. (2003). Minimal complete arcs in PG(2,q), q≤29, Journal of combinatorial Mathematics an Combinatorial Computing 47, 19-29.

Kaynak Göster

APA
Akça, Z., & Günaltılı, İ. (2012). ON THE (k,3)-ARCS OF CPG(2,25,5). Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, 2(1), 21-27. https://izlik.org/JA38ZY96JY
AMA
1.Akça Z, Günaltılı İ. ON THE (k,3)-ARCS OF CPG(2,25,5). AUBTD-B. 2012;2(1):21-27. https://izlik.org/JA38ZY96JY
Chicago
Akça, Ziya, ve İbrahim Günaltılı. 2012. “ON THE (k,3)-ARCS OF CPG(2,25,5)”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 2 (1): 21-27. https://izlik.org/JA38ZY96JY.
EndNote
Akça Z, Günaltılı İ (01 Mayıs 2012) ON THE (k,3)-ARCS OF CPG(2,25,5). Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 2 1 21–27.
IEEE
[1]Z. Akça ve İ. Günaltılı, “ON THE (k,3)-ARCS OF CPG(2,25,5)”, AUBTD-B, c. 2, sy 1, ss. 21–27, May. 2012, [çevrimiçi]. Erişim adresi: https://izlik.org/JA38ZY96JY
ISNAD
Akça, Ziya - Günaltılı, İbrahim. “ON THE (k,3)-ARCS OF CPG(2,25,5)”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 2/1 (01 Mayıs 2012): 21-27. https://izlik.org/JA38ZY96JY.
JAMA
1.Akça Z, Günaltılı İ. ON THE (k,3)-ARCS OF CPG(2,25,5). AUBTD-B. 2012;2:21–27.
MLA
Akça, Ziya, ve İbrahim Günaltılı. “ON THE (k,3)-ARCS OF CPG(2,25,5)”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, c. 2, sy 1, Mayıs 2012, ss. 21-27, https://izlik.org/JA38ZY96JY.
Vancouver
1.Ziya Akça, İbrahim Günaltılı. ON THE (k,3)-ARCS OF CPG(2,25,5). AUBTD-B [Internet]. 01 Mayıs 2012;2(1):21-7. Erişim adresi: https://izlik.org/JA38ZY96JY