Reverse Building of Complete (k,r)-Arcs in PG(2,q) - Open Access Library Journal

OALibJ > Vol.6 No.12, December 2019

Open Access Library Journal

Volume 6, Issue 12 (December 2019)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

Reverse Building of Complete (k,r)-Arcs in PG(2,q) ()

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DOI: 10.4236/oalib.1105900 288 Downloads 1,022 Views Citations

Author(s)

Mina Ghareeb Faraj, Nada Yassen Kasm

Affiliation(s)

Department of Mathematics, College of Education for pure Sciences, University of Mosul, Mosul, Iraq.

ABSTRACT

The purpose of this work is to study the construction of complete (ki,i)-arcs in PG(2,9), where i=q,9-1,...2 by eliminating points from a complete (kn,n)-arc to get a complete(km,m)-arc, where m < n. And we adopted a new sequential way to delete points [1] [2].

KEYWORDS

Complete Arcs, Maximal Arcs, Galois Geometry

Share and Cite:

Faraj, M. and Kasm, N. (2019) Reverse Building of Complete (k,r)-Arcs in PG(2,q). Open Access Library Journal, 6, 1-29. doi: 10.4236/oalib.1105900.

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[5]	The Reverse construction of complete (k, n)-arcs in three-dimensional projective space PG (3, 4)
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[8]	The Reverse construction of complete (k, n)-arcs in PG (2, q) where q= 2, 4, 8 related with linear codes
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[9]	Bounds on minimum distance for linear codes over GF (q)
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