ON THE (k,3)-ARCS OF CPG(2,25,5)
Öz
Anahtar Kelimeler
(k, 3)-arcs, Projective plane, Baer subplane, Cartesian Group, Computer search.
Kaynakça
- 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.
- 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.
- Ball, S. (1996). Multiple blocking sets and arcs in finite planes, Journal of London Mathematical Society 54, 581-593.
- Ball, S. (2005). Hirschfeld J. W. P, Bounds on -arcs and their application to linear codes, Finite Fields and Their Applications 11, 326-336.
- Coolsaet, K. and Sticker, H. (2010). The complete k-arcs of PG(2,27) and PG(2,29), Journal of Combinatorial Desings 111-130.
- 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.
- Hirschfeld, J.W.P. (1998). Projective Geometries over Finite Fields, second edition, Oxford University Press. 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.
- 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.