On the existence and the nonexistence of some (k,n)‎-arcs in PG (2,41)‎

Other Title(s)

حول الوجود و عدم الوجود لبعض الأقواس (K,n)‎-في PG (2,41)‎

Author

Khalid, Muhannad Shakir

Source

Basrah Journal of Science

Issue

Vol. 33, Issue 1A (31 Mar. 2015), pp.84-95, 12 p.

Publisher

University of Basrah College of Science

Publication Date

2015-03-31

Country of Publication

Iraq

No. of Pages

12

Main Subjects

Mathematics

Abstract AR

القوس-(k, n) هو مجموعة k من النقاط في المستوي الاسقاطي بحيث يوجد n و لا يوجد n + 1 من هذه النقاط تقع على استقامة واحدة.

الحجم الأعظم للأقواس-(k, n) في المستوي الإسقاطي PG (2, q) يرمز له بالرمز mn (2, q) في هذا البحث وجدنا mn (2, 41) عندما n = 22, 23, … , 40.

Abstract EN

A (k,n)-arc is a set of k points of a projective plane such that some n, but no n + 1 of them, are collinear.

The maximum size of a (k,n)-arc in PG (2 q) is denoted by mn (2,q).

In this paper we found mn (2,41) for n = (22,23,… ,40).

American Psychological Association (APA)

Khalid, Muhannad Shakir. 2015. On the existence and the nonexistence of some (k,n)-arcs in PG (2,41). Basrah Journal of Science،Vol. 33, no. 1A, pp.84-95.
https://search.emarefa.net/detail/BIM-542788

Modern Language Association (MLA)

Khalid, Muhannad Shakir. On the existence and the nonexistence of some (k,n)-arcs in PG (2,41). Basrah Journal of Science Vol. 33, no. 1A (2015), pp.84-95.
https://search.emarefa.net/detail/BIM-542788

American Medical Association (AMA)

Khalid, Muhannad Shakir. On the existence and the nonexistence of some (k,n)-arcs in PG (2,41). Basrah Journal of Science. 2015. Vol. 33, no. 1A, pp.84-95.
https://search.emarefa.net/detail/BIM-542788

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 93-94

Record ID

BIM-542788