{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T13:49:39Z","timestamp":1648561779768},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2012,12]]},"abstract":"<jats:p> We prove that for arbitrary n \u2208 \u2115 and [Formula: see text] and for a field K of characteristic 2 there exists an abelian group G of order 2<jats:sup>n<\/jats:sup> such that one of the powers of the radical of the group algebra K[G] is a (2<jats:sup>n<\/jats:sup>, 2<jats:sup>n-1<\/jats:sup>, 2<jats:sup>d<\/jats:sup>)-self-dual code. These codes are constructed for abelian groups G with decomposition [Formula: see text] where a<jats:sub>1<\/jats:sub> \u2265 3 and s<jats:sub>i<\/jats:sub> \u2265 0(1 \u2264 i \u2264 3). <\/jats:p>","DOI":"10.1142\/s1793830912500528","type":"journal-article","created":{"date-parts":[[2012,9,25]],"date-time":"2012-09-25T15:17:45Z","timestamp":1348586265000},"page":"1250052","source":"Crossref","is-referenced-by-count":0,"title":["CONSTRUCTION OF SELF-DUAL RADICAL 2-CODES OF GIVEN DISTANCE"],"prefix":"10.1142","volume":"04","author":[{"given":"CAROLIN","family":"HANNUSCH","sequence":"first","affiliation":[{"name":"Institute of Mathematics, Debrecen University, 4010 Debrecen, pf.12, Hungary"}]},{"given":"PIROSKA","family":"LAKATOS","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Debrecen University, 4010 Debrecen, pf.12, Hungary"}]}],"member":"219","published-online":{"date-parts":[[2013,1,4]]},"reference":[{"key":"rf1","first-page":"31","volume":"3","author":"Berman S. D.","year":"1967","journal-title":"Kibernetika"},{"key":"rf2","first-page":"313","volume":"295","author":"Charpin P.","year":"1982","journal-title":"C.R. Acad. Sci. Paris"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-51083-4_58"},{"key":"rf4","first-page":"175","volume":"50","author":"Jennings S. A.","year":"1941","journal-title":"Trans. Amer. Math. Soc."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00141972"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830912500528","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:14:22Z","timestamp":1565111662000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830912500528"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12]]},"references-count":5,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2013,1,4]]},"published-print":{"date-parts":[[2012,12]]}},"alternative-id":["10.1142\/S1793830912500528"],"URL":"https:\/\/doi.org\/10.1142\/s1793830912500528","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12]]}}}