The Code of a Regular Generalized Quadrangle of Even Order
نویسندگان
چکیده
منابع مشابه
Switching of generalized quadrangles of order s and applications
Let & = (P, £, I) be a generalized quadrangle of order 5, s φ 1, having a flag (x, L) with χ and L regular. Then a generalized quadrangle SP = (Ρ',Β',Ι') of order s can be constructed. We say that &" is obtained by switching from & with respect to (je, L). Examples are given where ¥ £ &'\ e.g., starting from a T2(O) of Tits, with O an oval of PG(2, q), q even, with nucleus «, the GQ T2((O {*}) ...
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Let q be a prime power and W (q) be the symplectic generalized quadrangle of order q. For q even, let O (respectively, E , T ) be the binary linear code spanned by the ovoids (respectively, elliptic ovoids, Tits ovoids) of W (q) and Γ be the graph defined on the set of ovoids ofW (q) in which two ovoids are adjacent if they intersect at one point. For A ∈ {E , T ,O}, we describe the codewords o...
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