On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9

Abstract

 In this paper, we introduce a method to find arcs in the projective plane of order 9 coordinatized by elements of a left nearfield of order 9. We give an algorithm for checking arcs in this projective plane and apply the algorithm (implemented in C#) to determine and classify arcs.

Keywords

• Near field,projective plane

References

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