Construction of complete (k, n)‎-arcs in the projective plane PG (2, 11)‎ Over Galois Field GF (11)‎, 3 ≤ n ≤ 11

Other Title(s)

إنشاء الأقواس الكاملة (k, n)‎ في المستوى الإسقاطي PG(2, 11)‎ حول حقل كالوا GF(11)‎ حيث ان 3 ≤ n≤ 11

Author

Muhammad, Ali Sayyid

Source

Ibn al-Haitham Journal for Pure and Applied Science

Issue

Vol. 22, Issue 2 (30 Jun. 2009)12 p.

Publisher

University of Baghdad College of Education for Pure Science / Ibn al-Haitham

Publication Date

2009-06-30

Country of Publication

Iraq

No. of Pages

12

Main Subjects

Mathematics

Abstract AR

أن الغاية الأساسية من هذا البحث هو إيجاد قوس كامل (k ,n) قي القضاء الاسقاطي الثنائي (q,2) PG حول حقل كالو (11) GF و ذلك بواسطة إضافة بعض التقاط دليلها صفر إلى القوس الكامل (1 - k,n) حيث ≤ 11 ≤ n 3.

القوس (k,n) هو مجموعة k من النقاط ليس هنالك 1 + n على استقامة واحدة.

القوس الكامل (k,n) هو قوس لا يمكن أن يكون محتوى في القوس (k+1,n).

Abstract EN

The purpose of this work is to construct complete (k,n)-arcs in the projective 2-space PG(2,q) over Galois field GF(11) by adding some points of index zero to complete (k,n–1)- arcs 3  n  11.

A (k,n)-arcs is a set of k points no n + 1 of which are collinear.

A (k,n)-arcs is complete if it is not contained in a (k + 1,n)-arcs.

American Psychological Association (APA)

Muhammad, Ali Sayyid. 2009. Construction of complete (k, n)-arcs in the projective plane PG (2, 11) Over Galois Field GF (11), 3 ≤ n ≤ 11. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 22, no. 2.
https://search.emarefa.net/detail/BIM-354866

Modern Language Association (MLA)

Muhammad, Ali Sayyid. Construction of complete (k, n)-arcs in the projective plane PG (2, 11) Over Galois Field GF (11), 3 ≤ n ≤ 11. Ibn al-Haitham Journal for Pure and Applied Science Vol. 22, no. 2 (2009).
https://search.emarefa.net/detail/BIM-354866

American Medical Association (AMA)

Muhammad, Ali Sayyid. Construction of complete (k, n)-arcs in the projective plane PG (2, 11) Over Galois Field GF (11), 3 ≤ n ≤ 11. Ibn al-Haitham Journal for Pure and Applied Science. 2009. Vol. 22, no. 2.
https://search.emarefa.net/detail/BIM-354866

Data Type

Journal Articles

Language

English

Notes

Includes appendices.

Record ID

BIM-354866