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Ibn Al-Haitham Journal for Pure and Applied Sciences
Article . 2017
Data sources: DOAJ
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Classification and Construction of (k,3)-Arcs on Projective Plane Over Galois Field GF(7)

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2017 English Publisher:University of BaghdadJournal:Ibn Al-Haitham Journal for Pure and Applied Sciences (issn: 1609-4042, Copyright policy )
Authors: Adil M. Ahmad; Aamal SH. Al-Mukhtar; Mahmood S. Faiyadh;

Classification and Construction of (k,3)-Arcs on Projective Plane Over Galois Field GF(7)

Abstract

The purpose of this work is to study the classification and construction of (k,3)-arcs in the projective plane PG(2,7). We found that there are two (5,3)-arcs, four (6,3)-arcs, six (7,3)arcs, six (8,3)-arcs, seven (9,3)-arcs, six (10,3)-arcs and six (11,3)-arcs. All of these arcs are incomplete. The number of distinct (12,3)-arcs are six, two of them are complete. There are four distinct (13,3)-arcs, two of them are complete and one (14,3)-arc which is incomplete. There exists one complete (15,3)-arc.

Keywords

Arcs,Projective plane, Galois field, Science, Q

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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