{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:01:26Z","timestamp":1772283686894,"version":"3.50.1"},"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 $k[V]$ be the space of functions from a finite\u00a0vector space into the algebraically closure of its field of scalars. This paper describes the lattice of subspaces of $k[V]$ which\u00a0are invariant under the affine group ${\\mathrm AGL}(V)$. The description\u00a0provides a simple method for finding the submodule generated by\u00a0any set of functions given as polynomials in the standard coordinates.<\/jats:p>","DOI":"10.37236\/2326","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:11:45Z","timestamp":1578712305000},"source":"Crossref","is-referenced-by-count":1,"title":["On Codes that are Invariant under the Affine Group"],"prefix":"10.37236","volume":"19","author":[{"given":"Peter","family":"Sin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2012,11,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i4p20\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i4p20\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:28:12Z","timestamp":1579300092000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i4p20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11,8]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2012,10,18]]}},"URL":"https:\/\/doi.org\/10.37236\/2326","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11,8]]},"article-number":"P20"}}