{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:42:49Z","timestamp":1753893769112,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $Q^{-}(3,q)$ be an elliptic quadric and $Q^{+}(3,q)$ a hyperbolic quadric in $\\mathrm{PG}(3,q)$. For $\\epsilon\\in\\{-,+\\}$, let $\\mathcal{T}^{\\epsilon}$ denote the set of all tangent lines of $\\mathrm{PG}(3,q)$ with respect to $Q^{\\epsilon}(3,q)$. If $k$ is the minimum size of a $\\mathcal{T}^{\\epsilon}$-blocking set in $\\mathrm{PG}(3,q)$, then it is known that $q^2+1 \\leq k \\leq q^2+q$. For an odd prime $q$, we prove that there are no $\\mathcal{T}^+$-blocking sets of size $q^2+1$ and that the quadric $Q^-(3,q)$ is the only $\\mathcal{T}^-$-blocking set of size $q^2 +1$ in $\\mathrm{PG}(3,q)$. When $q=3$, we show with the aid of a computer that there are no minimal $\\mathcal{T}^-$-blocking sets of size $11$ and that, up to isomorphism, there are eight minimal $\\mathcal{T}^-$-blocking sets of size $12$ in $\\mathrm{PG}(3,3)$. We also provide geometrical constructions for these eight mutually nonisomorphic minimal $\\mathcal{T}^-$-blocking sets of size $12$.<\/jats:p>","DOI":"10.37236\/10840","type":"journal-article","created":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T17:23:46Z","timestamp":1735233826000},"source":"Crossref","is-referenced-by-count":2,"title":["On Blocking Sets of the Tangent Lines to a Nonsingular Quadric in $\\mathrm{PG}(3,q)$, $q$ Prime"],"prefix":"10.37236","volume":"31","author":[{"given":"Bart","family":"De Bruyn","sequence":"first","affiliation":[]},{"given":"Francesco","family":"Pavese","sequence":"additional","affiliation":[]},{"given":"Puspendu","family":"Pradhan","sequence":"additional","affiliation":[]},{"given":"Binod","family":"Kumar Sahoo","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2024,12,27]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i4p80\/9190","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i4p80\/9190","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T17:23:46Z","timestamp":1735233826000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v31i4p80"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,27]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2024,10,3]]}},"URL":"https:\/\/doi.org\/10.37236\/10840","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2024,12,27]]},"article-number":"P4.80"}}