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

Kazim, Sawsan Jawad

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

Mathematics

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