Embeddings and hyperplanes of discrete geometries
European Journal of Combinatorics
On the generation of dual polar spaces of symplectic type over finite fields
Journal of Combinatorial Theory Series A
On the universal embedding of the Sp2n(2) dual polar space
Journal of Combinatorial Theory Series A
The universal embedding dimension of the binary symplectic dual polar space
Discrete Mathematics - The 2000 Com2MaC conference on association schemes, codes and designs
On Ovoids of Parabolic Quadrics
Designs, Codes and Cryptography
The hyperplanes of DQ(2n,K) and DQ-(2n+1,q) which arise from their spin-embeddings
Journal of Combinatorial Theory Series A
Lie Groups and Lie Algebras
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We characterize the hyperplanes of the dual polar space DW(2n-1,q) which arise from projective embeddings as those hyperplanes H of DW(2n-1,q) which satisfy the following property: if Q is an ovoidal quad, then Q@?H is a classical ovoid of Q. A consequence of this is that all hyperplanes of the dual polar spaces DW(2n-1,4), DW(2n-1,16) and DW(2n-1,p) (p prime) arise from projective embeddings.