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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
中文翻译:
将外部,切线和割线的集合阻塞到
更新日期:2021-03-04
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 in the 3-dimensional projective space over a finite field of order , where is a prime power. Let (respectively, , ) denote the set of all lines of that are external (respectively, tangent, secant) with respect to . We characterize the minimum size blocking sets in with respect to the line set , where is one of , , , , and .
中文翻译:
将外部,切线和割线的集合阻塞到
考虑二次锥 在3维投影空间中 在有限阶域上 , 在哪里 是主要力量。让 (分别, , )表示的所有行的集合 相对于外部而言(分别是切线,割线) 。我们描述了最小尺寸的块集 关于线组 , 在哪里 是其中之一 , , , , 和 。