Abstract
Atube of even orderq=2 d is a setT={L,\(\mathcal{L}\)} ofq+3 pairwise skew lines in PG(3,q) such that every plane onL meets the lines of\(\mathcal{L}\) in a hyperoval. Thequadric tube is obtained as follows. Take a hyperbolic quadricQ=Q 3 + (q) in PG(3,q); letL be an exterior line, and let\(\mathcal{L}\) consist of the polar line ofL together with a regulus onQ.
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