Abstract
Ovoids in finite polar spaces are related to many other objects in finite geometries. In this article, we prove some new upper bounds for the size of partial ovoids in Q −(2n+1,q) and W(2n+ 1,q). Further, we give a combinatorial proof for the non-existence of ovoids of H(2n +1,q 2) for n>q 3.
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Klein, A. Partial Ovoids in Classical Finite Polar Spaces. Designs, Codes and Cryptography 31, 221–226 (2004). https://doi.org/10.1023/B:DESI.0000015885.23333.ca
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DOI: https://doi.org/10.1023/B:DESI.0000015885.23333.ca