{"title":"Cyclic codes and self-dual codes over M2(F2) and M2(F2[i])","authors":"H. Sboui, A. Bouallègue, P. Solé","doi":"10.1109/MMS.2011.6068573","DOIUrl":null,"url":null,"abstract":"In this paper, we study cyclic self dual codes over the finite ring M<inf>2</inf>(F<inf>2</inf>) and M<inf>2</inf>(F<inf>2</inf>[i]) by analogy with the ℤ<inf>4</inf> case. We give the factorization of X<sup>7</sup> + 1 over M<inf>2</inf>(F<inf>2</inf>) and we propose a new factorization of X<sup>m</sup> + 1 over M<inf>2</inf>(F<inf>2</inf>[i]) for tow coprime polynomials.","PeriodicalId":176786,"journal":{"name":"2011 11th Mediterranean Microwave Symposium (MMS)","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 11th Mediterranean Microwave Symposium (MMS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMS.2011.6068573","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we study cyclic self dual codes over the finite ring M2(F2) and M2(F2[i]) by analogy with the ℤ4 case. We give the factorization of X7 + 1 over M2(F2) and we propose a new factorization of Xm + 1 over M2(F2[i]) for tow coprime polynomials.
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