Classification and construction of (k,3)-arcs on projective plane over Galois field GF(7)
Other Title(s)
تصنيف و بناء الأقواس (k,3) في مستوي إسقاطي حول حقل كالوا GF(7)
Joint Authors
Ahmad, Adil Mahmud
al-Mukhtar, Amal Shihab
Fayyd, Mahmud Salim
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 26, Issue 1 (30 Apr. 2013), pp.259-265, 7 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2013-04-30
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Abstract AR
الغرض من هذا البحث هو لدراسة تصنيف و بناء الأقواس (K,3) في المستوى الاسقاطي G(2,7).
لقد وجدنا قوسين (5,3)-, أربعة أقواس (6.3)-, ستة أقواس -(7,3), ستة أقواس (8,3)- سبعة أقواس (9,3)-, ستة أقواس (10,3)-, و ستة أقواس (11,3)-, كل هذه الأقواس تكون غير كاملة.
عدد الأقواس المختلفة (12,3)- تكون ستة, اثنان منها تكون كاملة.
توجد أربعة أقواس (13,3)- اثنان منها كاملة و قوس واحد (14,3)- غير كامل. يوجد قوس واحد (15,3)- يكون كاملا.
Abstract EN
The purpose of this work is to study the classification and construction of (k, 3)-arcs in the projective plane PG(2, 7).
We found that there are two (5, 3)-arcs, four (6, 3)-arcs, six (7, 3)-arcs, six (8, 3)-arcs, seven (9, 3)-arcs, six (10, 3)-arcs and six (11, 3)-arcs.
All of these arcs are incomplete.
The number of distinct (12, 3)-arcs are six, two of them are complete.
There are four distinct (13, 3)-arcs, two of them are complete and one (14, 3)-arc which is incomplete.
There exists one complete (15, 3)-arc.
American Psychological Association (APA)
Ahmad, Adil Mahmud& al-Mukhtar, Amal Shihab& Fayyd, Mahmud Salim. 2013. Classification and construction of (k,3)-arcs on projective plane over Galois field GF(7). Ibn al-Haitham Journal for Pure and Applied Science،Vol. 26, no. 1, pp.259-265.
https://search.emarefa.net/detail/BIM-337125
Modern Language Association (MLA)
Ahmad, Adil Mahmud…[et al.]. Classification and construction of (k,3)-arcs on projective plane over Galois field GF(7). Ibn al-Haitham Journal for Pure and Applied Science Vol. 26, no. 1 (Apr. 2013), pp.259-265.
https://search.emarefa.net/detail/BIM-337125
American Medical Association (AMA)
Ahmad, Adil Mahmud& al-Mukhtar, Amal Shihab& Fayyd, Mahmud Salim. Classification and construction of (k,3)-arcs on projective plane over Galois field GF(7). Ibn al-Haitham Journal for Pure and Applied Science. 2013. Vol. 26, no. 1, pp.259-265.
https://search.emarefa.net/detail/BIM-337125
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 264
Record ID
BIM-337125
