Caps Embedded in Grassmannians
نویسنده
چکیده
This paper is concerned with constructing caps embedded in line Grassman-nians. In particular, we construct a cap of size q 3 + 2q 2 + 1 embedded in the Klein quadric of P G(5; q) for even q, and show that any cap maximally embedded in the Klein quadric which is larger than this one must have size equal to the theoretical upper bound, namely q 3 + 2q 2 + q + 2. It is not known if caps achieving this upper bound exist for even q > 2.
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تاریخ انتشار 1998