On $m$-ovoids of Symplectic Polar Spaces


Abstract in English

In this paper, we develop a new method for constructing $m$-ovoids in the symplectic polar space $W(2r-1,q)$ from some strongly regular Cayley graphs in cite{Brouwer1999Journal}. Using this method, we obtain many new $m$-ovoids which can not be derived by field reduction.

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