Abstract
A planar oval set in PG (2, q), q even, is a set of q 2 ovals in PG (2, q) with common nucleus which intersect pairwise in one point. We classify such sets satisfying an extra condition, namely the regular Desarguesian planar oval sets, as the sets which consist of the images of an oval under all elations with center the nucleus of that oval.
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de Feyter, N. Planar Oval Sets in Desarguesian Planes of Even Order. Designs, Codes and Cryptography 32, 111–119 (2004). https://doi.org/10.1023/B:DESI.0000029216.82297.fb
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DOI: https://doi.org/10.1023/B:DESI.0000029216.82297.fb