{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:18Z","timestamp":1753893858256,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We investigate the covering problem in RT spaces induced by the\u00a0Rosenbloom-Tsfasman metric, extending the classical covering problem\u00a0in Hamming spaces. Some connections between coverings in RT spaces\u00a0and coverings in Hamming spaces are derived. Several lower and upper\u00a0bounds are established for the smallest cardinality of a covering\u00a0code in an RT space, generalizing results by Carnielli, Chen and\u00a0Honkala, Brualdi et al., Yildiz et al. A new construction of MDS codes\u00a0in RT spaces is obtained. Upper bounds are given on the\u00a0basis of MDS codes, generalizing well-known results due to Stanton et al., Blokhuis and Lam, and Carnielli. Tables of lower and upper bounds are presented too.<\/jats:p>","DOI":"10.37236\/4974","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T10:26:24Z","timestamp":1578651984000},"source":"Crossref","is-referenced-by-count":6,"title":["The Covering Problem in Rosenbloom-Tsfasman Spaces"],"prefix":"10.37236","volume":"22","author":[{"given":"Andr\u00e9 G.","family":"Castoldi","sequence":"first","affiliation":[]},{"given":"Emerson L.","family":"Monte Carmelo","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,8,28]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i3p30\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i3p30\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:13:18Z","timestamp":1579237998000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i3p30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,28]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2015,7,1]]}},"URL":"https:\/\/doi.org\/10.37236\/4974","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,8,28]]},"article-number":"P3.30"}}