Blocking sets of external, tangent and secant lines to a quadratic cone in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si19.svg"><mml:mrow><mml:mtext>PG</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>
نویسندگان
چکیده
Consider a quadratic cone K in the 3-dimensional projective space PG(3,q) over finite field of order q, where q is prime power. Let E (respectively, T, S) denote set all lines that are external tangent, secant) with respect to K. We characterize minimum size blocking sets line A, A one E, S, E∪T, E∪S and T∪S.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2021
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2021.112352