The maximum complete (k, n)-arcs in the projective plane PG(2, 4) by geometric method
Other Title(s)
الأقواس العظمى الكاملة في المستوى الإسقاطي PG(2, 4) بطريقة هندسية
Author
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 23, Issue 1 (30 Jun. 2010)9 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2010-06-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Abstract AR
الأقواس - (n,k)في مستوى إسقاطي منتهي (2,4) PG حول حقل كالوا Pg(q) و q = p، إذ إن p عدد أولي صحيح n >2 هو مجموعة مكونة من k من النقاط لا يوجد n+1 منها تقع على مستقيم واحد.
القوس –(k,n) يكون كامل إذا لم يكن محتوى في القوس –(k+1,n) .
في هذا البحث سيتم بناء الأقواس – (k,n) العظمى الكاملة و n = 2,3,4 في المستوى (2,4) PG من معادلة المخروط.
Abstract EN
A (k, n)-arc A in a finite projective plane PG(2,q) over Galois field GF(q), q = pⁿ for same prime number p and some integer n≥2, is a set of k p oints, no n + 1 of which are collinear.
A (k, n)-arc is complete if it is not contained in a(k+1,n)-arc.
In this paper, the maximum complete (k,n)-arcs, n = 2,3 in PG(2,4) can be constructed from the equation of the conic.
American Psychological Association (APA)
Kazim, Sawsan Jawad. 2010. The maximum complete (k, n)-arcs in the projective plane PG(2, 4) by geometric method. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 23, no. 1.
https://search.emarefa.net/detail/BIM-354136
Modern Language Association (MLA)
Kazim, Sawsan Jawad. The maximum complete (k, n)-arcs in the projective plane PG(2, 4) by geometric method. Ibn al-Haitham Journal for Pure and Applied Science Vol. 23, no. 1 (2010).
https://search.emarefa.net/detail/BIM-354136
American Medical Association (AMA)
Kazim, Sawsan Jawad. The maximum complete (k, n)-arcs in the projective plane PG(2, 4) by geometric method. Ibn al-Haitham Journal for Pure and Applied Science. 2010. Vol. 23, no. 1.
https://search.emarefa.net/detail/BIM-354136
Data Type
Journal Articles
Language
English
Notes
Includes appendices.
Record ID
BIM-354136
