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On m-ovoids of regular near polygons | Designs, Codes and Cryptography

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On m-ovoids of regular near polygons - Designs, Codes and Cryptography

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We generalise the work of Segre (Ann Mat Pura Appl 4(70):1–201, 1965), Cameron et al. (J Algebra 55(2):257–280, 1978), and Vanhove (J Algebr Comb 34(3):357–373, 2011) by showing that nontrivial m-ovoids of the dual polar spaces $$\mathsf {DQ}(2d, q)$$ DQ ( 2 d , q ) , $$\mathsf {DW}(2d-1,q)$$ DW ( 2 d - 1 , q ) and $$\mathsf {DH}(2d-1,q^2)$$ DH ( 2 d - 1 , q 2 ) ( $$d\geqslant 3$$ d ⩾ 3 ) are hemisystems. We also provide a more general result that holds for regular near polygons.

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On m-ovoids of regular near polygons

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Designs, Codes and Cryptography - We generalise the work of Segre (Ann Mat Pura Appl 4(70):1–201, 1965), Cameron et al. (J Algebra 55(2):257–280, 1978), and Vanhove (J Algebr Comb...

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