{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T11:11:54Z","timestamp":1742382714274},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2015,9]]},"abstract":"<jats:p> In this paper, we have defined \u2124<jats:sub>q<\/jats:sub>-linear code and constructed some new codes. In particular, we have introduced the concept of \u2124<jats:sub>q<\/jats:sub>-Simplex codes and proved that it is a [Formula: see text]-linear code for any integer q \u2265 2 and k \u2265 3 where p is the least order element in \u2124<jats:sub>q<\/jats:sub>. We have given the weight distribution of \u2124<jats:sub>q<\/jats:sub>-Simplex codes of dimension 2 when q is a prime power and when q is a product of distinct primes. <\/jats:p>","DOI":"10.1142\/s1793830915500305","type":"journal-article","created":{"date-parts":[[2015,6,21]],"date-time":"2015-06-21T23:29:31Z","timestamp":1434929371000},"page":"1550030","source":"Crossref","is-referenced-by-count":3,"title":["On the \u2124<sub>q<\/sub>-Simplex codes and its weight distribution for dimension 2"],"prefix":"10.1142","volume":"07","author":[{"given":"C.","family":"Durairajan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamil Nadu, India"}]},{"given":"J.","family":"Mahalakshmi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamil Nadu, India"}]},{"given":"P. Chella","family":"Pandian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamil Nadu, India"}]}],"member":"219","published-online":{"date-parts":[[2015,9,29]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/18.782168"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-009-0110-8"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/18.568705"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/18.761278"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-006-9035-4"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-012-0182-8"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(93)90070-O"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/18.746770"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1023\/A:1018696102510"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1504\/IJICOT.2010.032133"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2010.11.002"},{"key":"rf13","first-page":"53","volume":"11","author":"El-Atrash M.","year":"2003","journal-title":"J. Islamic Univ. Gaza"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2014.8.129"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1109\/18.312154"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008254008212"},{"key":"rf17","volume-title":"The Theory of Error-Correcting Codes","author":"Mac William F. J.","year":"1977"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0617-0"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/18.556679"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830915500305","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:01:53Z","timestamp":1565172113000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830915500305"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9]]},"references-count":18,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2015,9,29]]},"published-print":{"date-parts":[[2015,9]]}},"alternative-id":["10.1142\/S1793830915500305"],"URL":"https:\/\/doi.org\/10.1142\/s1793830915500305","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9]]}}}