Mathematics > Combinatorics
[Submitted on 1 Sep 2021 (v1), last revised 22 Jan 2023 (this version, v2)]
Title:Small Strong Blocking Sets by Concatenation
View PDFAbstract:Strong blocking sets and their counterparts, minimal codes, attracted lots of attention in the last years. Combining the concatenating construction of codes with a geometric insight into the minimality condition, we explicitly provide infinite families of small strong blocking sets, whose size is linear in the dimension of the ambient projective spaces. As a byproduct, small saturating sets are obtained.
Submission history
From: Martino Borello [view email][v1] Wed, 1 Sep 2021 19:25:18 UTC (24 KB)
[v2] Sun, 22 Jan 2023 17:34:22 UTC (20 KB)
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