Classification and construction of (k,3)-arcs on projective plane over Galois field GF(9)
Other Title(s)
تصنيف و بناء الأقواس (k,3) في مستوي إسقاطي حول حقل كالوا GF(9)
Joint Authors
Karim, Fatimah Faysal
Ahmad, Adil Mahmud
al-Mukhtar, Amal Shihab
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 26, Issue 1 (30 Apr. 2013), pp.266-274, 9 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2013-04-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Abstract AR
يتم في هذ ا البحث, بناء و تصنيف الأقواس (K,3) الاسقاطية المختلفة في المستوى الاسقاطي PG(2,9) حيث أن K≥5, و برهان أن الأقواس (K,3)- الكاملة غير موجودة, حيث أن 5≤K≤3 و قد وجد أن أكبر قوس (K,3)- كامل علاوة على ذلك, تم إيجاد الأقواس (K,3)- الكاملة بينهما.
Abstract EN
In this work, we construct and classify the projectively distinct (k, 3)-arcs in PG (2, 9), where k ≥ 5, and prove that the complete (k, 3)- arcs do not exist, where 5 ≤ k ≤ 13.
We found that the maximum complete (k, 3)-arc in PG (2, q) is the (16, 3)-arc and the minimum complete (k, 3)- arc in PG (2, q) is the (14, 3)-arc.
Moreover, we found the complete (k, 3)-arcs between them.
American Psychological Association (APA)
Ahmad, Adil Mahmud& al-Mukhtar, Amal Shihab& Karim, Fatimah Faysal. 2013. Classification and construction of (k,3)-arcs on projective plane over Galois field GF(9). Ibn al-Haitham Journal for Pure and Applied Science،Vol. 26, no. 1, pp.266-274.
https://search.emarefa.net/detail/BIM-337131
Modern Language Association (MLA)
Ahmad, Adil Mahmud…[et al.]. Classification and construction of (k,3)-arcs on projective plane over Galois field GF(9). Ibn al-Haitham Journal for Pure and Applied Science Vol. 26, no. 1 (Apr. 2013), pp.266-274.
https://search.emarefa.net/detail/BIM-337131
American Medical Association (AMA)
Ahmad, Adil Mahmud& al-Mukhtar, Amal Shihab& Karim, Fatimah Faysal. Classification and construction of (k,3)-arcs on projective plane over Galois field GF(9). Ibn al-Haitham Journal for Pure and Applied Science. 2013. Vol. 26, no. 1, pp.266-274.
https://search.emarefa.net/detail/BIM-337131
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 271-273
Record ID
BIM-337131