{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:47Z","timestamp":1753893827301,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In this paper, we give a simple method for computing the stabilizer subgroup of $D(f)=\\{\\alpha \\in {\\Bbb F}_q \\mid \\text{ there is a } \\beta \\in {\\Bbb F}_q^{\\times} \\text{ such that }\\beta^n=f(\\alpha)\\}$ in $PSL_2({\\Bbb F}_q)$, where $q$ is a large odd prime power, $n$ is a positive integer dividing $q-1$ greater than $1$, and $f(x) \\in {\\Bbb F}_q[x]$. As an application, we construct new infinite families of $3$-designs.<\/jats:p>","DOI":"10.37236\/1026","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:47:50Z","timestamp":1578718070000},"source":"Crossref","is-referenced-by-count":0,"title":["New Infinite Families of $3$-Designs from Algebraic Curves of Higher Genus over Finite Fields"],"prefix":"10.37236","volume":"14","author":[{"given":"Byeong-Kweon","family":"Oh","sequence":"first","affiliation":[]},{"given":"Hoseog","family":"Yu","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,11,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1n25\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1n25\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T03:59:37Z","timestamp":1579319977000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1n25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,11,5]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/1026","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2007,11,5]]},"article-number":"N25"}}