Large (k,n)-arcs in the Projective Plane of Order 37

Authors

  • R. A. Hanoon, M. A. Ibrahim Department of Mathematics, College of science, University of Basrah, Basra, IRAQ Author

Keywords:

Finite projective plane, Cyclic projectivity, Arcs, Cyclic arcs

Abstract

In this study, we use the concept of the cyclic projectivity to find some complete cyclic -arcs that correspond to some divisors of  . The cyclic complete arcs ,   , , and  are constructed. Moreover, we find  types of large complete -arcs that containing the cyclic arc (469,16),  types of  large complete -arcs that containing the cyclic arc   ,  types of  large complete -arcs that containing the cyclic arc , and  types of  large complete -arcs that containing the cyclic arc .

 

 

 

 

 

 

 

 

 

 

 

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Published

2023-08-31

Issue

Vol. 41 No. 2 (2023)

Section

Mathematics

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.