Construction of the (k, r)-caps in the projective 3-space PG(3,11)

Authors

  • Aidan Essa Mustafa Sulaimaan Republic of Iraq, Ministry of Education, Open Educational College

Keywords:

Maximum Complete (k, r), cap in Projective Space over Galois Field

Abstract

The purpose of this work is to construct the (k, r)-caps in the projective 3-space PG(3,11). We found that PG(3,11) has an ovaloid maximum complete (k,2)-cap when k = 40. Furthermore the maximum (k,3)-caps, (k,4)-caps, (k,5)-caps,(k,6)-caps,  (k,7)-caps, (k,8)-caps, (k,9)-caps, (k,10)-caps, (k,11)-caps, (k,12)-caps.

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Published

2026-01-22

How to Cite

Sulaimaan, A. E. M. . (2026). Construction of the (k, r)-caps in the projective 3-space PG(3,11). Journal of Natural and Applied Sciences, 1(10), 82–116. Retrieved from https://uraljournal.remahcenter.com/papers/index.php/ural/article/view/19

Issue

Vol. 1 No. 10 (2025): JOURNAL OF NATURAL AND APPLIED SCIENCES URAL NO10 V1

Section

Articles

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