A family of m-ovoids of parabolic quadrics
نویسندگان
چکیده
We construct a family of (q−1) 2 -ovoids of Q(4, q), the parabolic quadric of PG(4, q), for q ≡ 3 (mod 4). The existence of (q−1) 2 -ovoids of Q(4, q) was only known for q = 3, 7, or 11. Our construction provides the first infinite family of (q−1) 2 -ovoids of Q(4, q). Along the way, we also give a construction of (q+1) 2 -ovoids in Q(4, q) for q ≡ 1 (mod 4).
منابع مشابه
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 140 شماره
صفحات -
تاریخ انتشار 2016