ON BLOCKING SETS IN A SPECIAL PROJECTIVE PLANE OF ORDER 9

ON BLOCKING SETS IN A SPECIAL PROJECTIVE PLANE OF ORDER 9

In this paper the numbers oft−fold blocking sets in the Baersubplane which is the projective subplane of order 3 of the projective plane oforder 9 over the left semifield, using MATLAB are given

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  • Akca, Z., Kaya, R., On the Subplanes of the Cartesian Group Plane of order 25, T¨urk Matematik Derne˘gi X. Ulusal Matematik Sempozyumu, 1-5 Eyl¨ul (1997) 1-7.
  • Akca, Z., G¨unaltılı, ˙I. & G¨uney, ¨O.,2006, On The Fano Subplanes of The Left Semifield Plane of Order 9, Hacettepe Journal of Mathematics and Statistics, Volume 35(1) 55-61.
  • Akca, Z., Uzun, M.M., On the numerical computation of some t −fold blocking sets in the Baer subplane, Applied Mathematical Sciences, Vol. 6, (2012), 6161-6170.
  • C¸ ift¸ci, S - Kaya, R., On the Fano Subplanes in the Translation Plane of order 9, Do˘ga-Tr. J. of Mathematics 14 (1990), 1-7.
  • Daskalov, R., A geometric contruction of a (38, 2)−blocking set in P G(2, 13) and the related [145, 3, 133] code, Discrete Mathematics, 308 (2008) 1341-1345.
  • G¨uney, ¨O. 9. Mertebeden sol yarıcisim d¨uzleminin altd¨uzlemleri ¨uzerine, OG ¨U, Y. Lisans Tezi, 68, (2005).
  • Hall, M. Jr., Theory of Groups, The Macmillan Company, New York (1959).
  • Kaya, R., Projektif Geometri, Osmangazi ¨Universitesi 392, (2005). www.mathworks.com
  • Room, T.G - Kirkpatrick, P.B., Miniquaternion Geometry, London, Cambridge University Press, 177, (1971). ¨Ozcan, M.,
  • Cebirsel Yapılardan Projektif D¨uzlem Elde EdilmesiUzerine, Anadolu ¨ ¨ Universitesi Y. Lisans Tezi, 130, (1998).
  • Uzun, M. M., 9. Mertebeden yarıcisim d¨uzleminin bloking k¨umeleri ¨uzerine, ESOG ¨U, Y. Lisans Tezi, 68, (2010).
  • Walls, J.L., 2006, Prescribed Automorphism Groups and Two Problems in Galois Geometries,
  • Master of Science Thesis, Simon Franser University, 93p. Eskis¸ehir Osmangazi University, Faculty of Science and Arts, Department of Math- ematics and Computer Science, Eskis¸ehir-TURKEY E-mail address: zakca@ogu.edu.tr