{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:42Z","timestamp":1753893822679,"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 study the existence problem for KM-arcs in small Desarguesian planes. We establish a full classification of KM$_{q,t}$-arcs for $q\\le 32$, up to projective equivalence. We also construct a KM$_{64,4}$-arc; as $t=4$ was the only value for which the existence of a KM$_{64,t}$-arc was unknown, this fully settles the existence problem for $q\\le 64$.<\/jats:p>","DOI":"10.37236\/6057","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T19:07:49Z","timestamp":1578683269000},"source":"Crossref","is-referenced-by-count":4,"title":["On KM-Arcs in Small Desarguesian Planes"],"prefix":"10.37236","volume":"24","author":[{"given":"Peter","family":"Vandendriessche","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,3,17]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i1p51\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i1p51\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:03:31Z","timestamp":1579237411000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i1p51"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,17]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2017,1,20]]}},"URL":"https:\/\/doi.org\/10.37236\/6057","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2017,3,17]]},"article-number":"P1.51"}}