Conic Parameterization in PG(2,25)
DOI:
https://doi.org/10.23851/mjs.v29i2.252Abstract
The main aim of this paper is to parameterize the conics form through the inequivalent 5-arcs in PG (2,25) using one-one correspondence property between line and conic. The inequivalent 6-arcs in PG (2,25), also have been computed with some examples.References
E. B. Al-Zangana. The geometry of the plane of order nineteen and its application to error-correcting codes. Ph.D. Thesis, University of Sussex, UK, 2011.
E. B. Al-Zangana. Groups effect of types D_5 and A_5 on the points of projective plane Over F_q,q=29,31. Ibn Al-Haitham Jour. for Pure and Appl. Sci., Vol. 26(3), 2013.
E. B. Al-Zangana. Results in projective geometry PG(r,23),r=1,2. Iraqi Journal of Science, 57(2A), (964-971), 2016.
S. Marcugini, A. Milani and F. Pambianco. Complete arcs in PG(2,25): The spectrum of the sizes and the classification of the smallest complete arcs. Discrete Mathematics, 307, (739 -747), 2007.
K. Coolsaet and H. Sticker. A full classification of the complete k-arcs of PG(2,23) and PG(2,25). Journal of Combinatorial Designs, 17(6), (459-477), 2009.
J.W.P. Hirschfeld , Projective geometries over finite fields, 2nd edition, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1998.
R. Lidl and H. Niederreiter. Finite fields, 2nd edition. Cambridge, 1997.
A. D. Thomas and G. V. Wood. Group tables. Shiva Mathematics Series; 2, Shiva Publishing Ltd, 1980.
E. B. Al-Zangana and E. A. Shehab. Classification of k-sets in PG(1,25), for k=4,…,13, 2017, to appear.
Downloads
Published
How to Cite
Issue
Section
License
Articles accepted for publication in Al-Mustansiriyah Journal of Science (MJS) are protected under the Creative Commons Attribution 4.0 International License (CC-BY-NC). Authors of accepted articles are requested to sign a copyright release form prior to their article being published. All authors must agree to the submission, sign copyright release forms, and agree to be included in any correspondence between MJS and the authors before submitting a work to MJS. For personal or educational use, permission is given without charge to print or create digital copies of all or portions of a MJS article. However, copies must not be produced or distributed for monetary gain. It is necessary to respect the copyright of any parts of this work that are not owned by MJS.
