Conic Parameterization in PG(2,25)

Authors

  • Emad Bakr Al-Zangana Department of Mathematics, College of Science, Mustansiriyah University
  • Elaf Abdul Satar Shehab Department of Mathematics, College of Science, Mustansiriyah University

DOI:

https://doi.org/10.23851/mjs.v29i2.252

Abstract

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.

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References

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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.

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E. B. Al-Zangana and E. A. Shehab. Classification of k-sets in PG(1,25), for k=4,…,13, 2017, to appear.

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Key Dates

Published

17-11-2018

Issue

Section

Original Article

How to Cite

[1]
E. B. Al-Zangana and E. A. S. Shehab, “Conic Parameterization in PG(2,25)”, Al-Mustansiriyah Journal of Science, vol. 29, no. 2, pp. 164–168, Nov. 2018, doi: 10.23851/mjs.v29i2.252.