A complete (k,r)‎-cap in pg(3, p)‎ over galois field gf (4)‎

Other Title(s)

الغطاء (k,r)‎ الكامل في الفضاء الاسقاطي ثلاثي الابعاد على حقل كالوا GF(4)‎

Author

Karim, Fatimah Faysal

Source

Ibn al-Haitham Journal for Pure and Applied Science

Issue

Vol. 24, Issue 2 (30 Jun. 2011)12 p.

Publisher

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

Publication Date

2011-06-30

Country of Publication

Iraq

No. of Pages

12

Main Subjects

Mathematics

Topics

Abstract AR

الهدف من هذا البحث هو بناء الغطاء (k,r) في الفضاء الاسقاطي ذي ثلاثة أبعاد (3, p) PG حول حقل كالوا GF (4).

و قد وجدنا أن أعظم غطاء كامل (K,2) الذي يدعى اهليلجي، موجود في PG(3,4) عندما K = 13.

فضلا عن ذلك وجدنا أعظم غطاء لـ (K,3) و (K,4) و (K,5).

Abstract EN

The aim of this paper is to construct the (k, r)-caps in the projective 3-space PG(3, p) over Galois field GF (4).

We found that the maximum complete (k, 2)-cap which is called an ovaloid, exists in PG (3, 4) when k = 13.

Moreover the maximum (k, 3)-caps, (k, 4)-caps and (k, 5)-caps.

American Psychological Association (APA)

Karim, Fatimah Faysal. 2011. A complete (k,r)-cap in pg(3, p) over galois field gf (4). Ibn al-Haitham Journal for Pure and Applied Science،Vol. 24, no. 2.
https://search.emarefa.net/detail/BIM-286446

Modern Language Association (MLA)

Karim, Fatimah Faysal. A complete (k,r)-cap in pg(3, p) over galois field gf (4). Ibn al-Haitham Journal for Pure and Applied Science Vol. 24, no. 2 (2011).
https://search.emarefa.net/detail/BIM-286446

American Medical Association (AMA)

Karim, Fatimah Faysal. A complete (k,r)-cap in pg(3, p) over galois field gf (4). Ibn al-Haitham Journal for Pure and Applied Science. 2011. Vol. 24, no. 2.
https://search.emarefa.net/detail/BIM-286446

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-286446