Journals / Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler / 2012 / Cilt: 2 - Sayı: 1

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

CPG(2,25,5) NIN (k,3)-YAYLARI ÜZERİNE

Pages
21–27
Publication Date
2012-05-21
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:3)-yaylar · Projektif düzlem · Baer altdüzlemi

Abstract

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.

Özet

Bu çalışmada, en küçük Kartezyen grup üzerine kurulan 25. mertebeden projektif düzlemdeki ( , 3) k -yayların sınıflaması için bir algoritma ve bazı ( , 3) k -yayların örnekleri verilmektedir.

🔖

Cite This Article

AKÇA, Z., GÜNALTILI, İ. (2012). ON THE (k,3)-ARCS OF CPG(2,25,5). Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, Cilt: 2 - Sayı: 1, 21–27. https://ajindex.com/articles/253972

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Akça, Z. (1991). The construction of the cartesian group plane of order 25, M. Sc thesis, Eskişehir, Turkey: University of Anadolu. 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.
  2. 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.
  3. Ball, S. (1996). Multiple blocking sets and arcs in finite planes, Journal of London Mathematical Society 54, 581-593.
  4. Ball, S. (2005).
  5. 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.
  9. Oxford. 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.
  11. Odabas, A. (2009).
  12. Crossed Modules of Algebras with GAP, PhD. thesis, Eskişehir, Turkey: University of Osmangazi. Panella, G. (1965).
  13. Una Classe Di Sistemi Cartesiani, Atti Della Accademia Nazionale Lincei Rendiconti 38, 480-485.
  14. Thas, J.A. (1975). Some results concerning ((q+1)(n-1),n)-arcs, Journal of Combinatorial Theory Series A 19, 228-232.