{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T12:59:40Z","timestamp":1772283580981,"version":"3.50.1"},"reference-count":37,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2012,3]]},"abstract":"<jats:p> A vector space partition is here a collection [Formula: see text] of subspaces of a finite vector space V(n, q), of dimension n over a finite field with q elements, with the property that every non-zero vector is contained in a unique member of [Formula: see text]. Vector space partitions relate to finite projective planes, design theory and error correcting codes. In the first part of the paper I will discuss some relations between vector space partitions and other branches of mathematics. The other part of the paper contains a survey of known results on the type of a vector space partition, more precisely: the theorem of Beutelspacher and Heden on T-partitions, rather recent results of El-Zanati et al. on the different types that appear in the spaces V(n, 2), for n \u2264 8, a result of Heden and Lehmann on vector space partitions and maximal partial spreads including their new necessary condition for the existence of a vector space partition, and furthermore, I will give a theorem of Heden on the length of the tail of a vector space partition. Finally, I will also give a few historical remarks. <\/jats:p>","DOI":"10.1142\/s1793830912500012","type":"journal-article","created":{"date-parts":[[2012,4,10]],"date-time":"2012-04-10T01:24:02Z","timestamp":1334021042000},"page":"1250001","source":"Crossref","is-referenced-by-count":17,"title":["A SURVEY OF THE DIFFERENT TYPES OF VECTOR SPACE PARTITIONS"],"prefix":"10.1142","volume":"04","author":[{"given":"OLOF","family":"HEDEN","sequence":"first","affiliation":[{"name":"Department of Mathematics, KTH, S-100 44 Stockholm, Sweden"}]}],"member":"219","published-online":{"date-parts":[[2012,4,13]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01187370"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01211032"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01226438"},{"key":"rf4","first-page":"425","volume":"9","author":"Beutelspacher A.","journal-title":"Geom. 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