Abstract
For an irreducible conic \({\mathcal {C}}\) in a Desarguesian plane of odd square order, estimating the number of points, from a Baer subplane, which are external to \({\mathcal {C}}\) is a natural problem. In this paper, a complete list of possibilities is determined for the case where \({\mathcal {C}}\) shares at least one point with the subplane.
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Acknowledgements
The research of V. Pallozzi L. was partially supported by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA–INdAM) and by the National Science Foundation under Grant No. 2127742.
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Communicated by D. Ghinelli.
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Pallozzi Lavorante, V. External points to a conic from a Baer subplane. Des. Codes Cryptogr. 91, 1427–1441 (2023). https://doi.org/10.1007/s10623-022-01156-7
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DOI: https://doi.org/10.1007/s10623-022-01156-7