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Blocking sets of external, tangent and secant lines to a quadratic cone in PG(3,q)
Discrete Mathematics ( IF 0.7 ) Pub Date : 2021-03-04 , DOI: 10.1016/j.disc.2021.112352
Bart De Bruyn , Puspendu Pradhan , Bikramaditya Sahu

Consider a quadratic cone K in the 3-dimensional projective space PG(3,q) over a finite field of order q, where q is a prime power. Let E (respectively, T, S) denote the set of all lines of PG(3,q) that are external (respectively, tangent, secant) with respect to K. We characterize the minimum size blocking sets in PG(3,q) with respect to the line set A, where A is one of E, T, S, ET, ES and TS.



中文翻译:

将外部,切线和割线的集合阻塞到 PG3q

考虑二次锥 ķ 在3维投影空间中 PG3q 在有限阶域上 q, 在哪里 q是主要力量。让E (分别, Ť小号)表示的所有行的集合 PG3q 相对于外部而言(分别是切线,割线) ķ。我们描述了最小尺寸的块集PG3q 关于线组 一种, 在哪里 一种 是其中之一 EŤ小号EŤE小号Ť小号

更新日期:2021-03-04
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