Monoidal (k, q+m ; f)-arcs of type (m, q+m) in PG (2, q)
Author
Source
Issue
Vol. 30, Issue 1A (31 Dec. 2012), pp.90-96, 7 p.
Publisher
University of Basrah College of Science
Publication Date
2012-12-31
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Abstract AR
في هذا البحث برهنا على وجود الأقواس الموزونة (k, n) الأحادية من النوع (m, q+m) التي يكون فيها عدد النقاط من الوزن صفر تشكل (q2 – (m – 1) q, q) – arc حيث عدد q-secants يساوي q – (m – 1) و q – (m – 1) – secants هو q2 و عدد 0-secants هو m و عدد i-secants يساوي 0 حيث i ≠ q, q – ( m – 1 ), 0 و يكون عدد النقاط التي لها وزن واحد تمثل (mq, q) – arc حيث عدد q-secants يساوي m و عدد m-secants هو q2 و عدد 0-secants هو q - (m – 1) و عدد i-secants يساوي 0 حيث i ≠ q, m, 0 و قد حصلنا على مثال لهذا القوس في المستوى الاسقاطي من الرتبة 7,5,3.
Abstract EN
In this paper we discuss a Monomial (k, q + m ; f) arcs of type ( m, q + m) in the projective plane of order q and we proved that the points of weight 0 form a (q 2− (m −1) q , q)–arc in which q - secants = q – (m – 1), q - (m - 1) - secants = q2, 0 - secants = m and i−secants = 0, I ≠ q, q (m – 1), 0.
Also we proved that the points of weight 1 form a (mq, q) arc with q - secants = m, m -secants = q2, 0 - secants = q – (m – 1) and i−secants = 0, i ≠ q, m, 0, and we gave some examples when q =3 , 5, 7.
American Psychological Association (APA)
Hamid, F. K.. 2012. Monoidal (k, q+m ; f)-arcs of type (m, q+m) in PG (2, q). Basrah Journal of Science،Vol. 30, no. 1A, pp.90-96.
https://search.emarefa.net/detail/BIM-307107
Modern Language Association (MLA)
Hamid, F. K.. Monoidal (k, q+m ; f)-arcs of type (m, q+m) in PG (2, q). Basrah Journal of Science Vol. 30, no. 1-A (2012), pp.90-96.
https://search.emarefa.net/detail/BIM-307107
American Medical Association (AMA)
Hamid, F. K.. Monoidal (k, q+m ; f)-arcs of type (m, q+m) in PG (2, q). Basrah Journal of Science. 2012. Vol. 30, no. 1A, pp.90-96.
https://search.emarefa.net/detail/BIM-307107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 95
Record ID
BIM-307107
