{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T21:38:10Z","timestamp":1649108290249},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2015,6]]},"abstract":"<jats:p> In this paper we study linear codes over the rings R<jats:sub>i<\/jats:sub> = \u2124<jats:sub>4<\/jats:sub> + w\u2124<jats:sub>4<\/jats:sub>, where w<jats:sup>2<\/jats:sup> = i, i = 1, 2w. We characterize self-dual codes over R<jats:sub>i<\/jats:sub> and propose a construction method for self-dual codes over these rings. We also briefly discuss circulant self-dual codes and Type II codes. Some examples are given. <\/jats:p>","DOI":"10.1142\/s1793830915500147","type":"journal-article","created":{"date-parts":[[2015,2,13]],"date-time":"2015-02-13T01:26:05Z","timestamp":1423790765000},"page":"1550014","source":"Crossref","is-referenced-by-count":2,"title":["Self-dual codes over \u2124<sub>4<\/sub> + w\u2124<sub>4<\/sub>"],"prefix":"10.1142","volume":"07","author":[{"given":"Rama Krishna","family":"Bandi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India"}]},{"given":"Maheshanand","family":"Bhaintwal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India"}]}],"member":"219","published-online":{"date-parts":[[2015,5,25]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-013-9873-9"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1006\/jcta.1996.2763"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/18.761269"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/18.761278"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2009.11.004"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/18.312154"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1006\/ffta.1996.0174"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511807077"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/18.923739"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-007-9117-y"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2003.10.003"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2007.07.001"},{"key":"rf14","volume-title":"Handbook of Coding Theory","author":"Rains E.","year":"1998"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-009-9309-8"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2010.10.007"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2013.12.007"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1353\/ajm.1999.0024"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2040896"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830915500147","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:36:01Z","timestamp":1565148961000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830915500147"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,25]]},"references-count":18,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2015,5,25]]},"published-print":{"date-parts":[[2015,6]]}},"alternative-id":["10.1142\/S1793830915500147"],"URL":"https:\/\/doi.org\/10.1142\/s1793830915500147","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,5,25]]}}}