Jianzhang Chen, Jianping Li, Jie Lin, Yuanyuan Huang
{"title":"Quantum subsystem codes drived from negacyclic codes","authors":"Jianzhang Chen, Jianping Li, Jie Lin, Yuanyuan Huang","doi":"10.1109/ICCWAMTIP.2014.7073373","DOIUrl":null,"url":null,"abstract":"In this paper, we utilize negacyclic codes to construct a family of optimal subsystem codes with parameters [[q<sup>2</sup>+1,(q-1)<sup>2</sup>, 4, q-1]]<sub>q</sub>> where q = 1(mod4), q = p<sup>τ</sup>, τ ≥ 1 and p is an odd prime. These constructed quantum subsystem codes are different from those codes available in the literature.","PeriodicalId":211273,"journal":{"name":"2014 11th International Computer Conference on Wavelet Actiev Media Technology and Information Processing(ICCWAMTIP)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 11th International Computer Conference on Wavelet Actiev Media Technology and Information Processing(ICCWAMTIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCWAMTIP.2014.7073373","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, we utilize negacyclic codes to construct a family of optimal subsystem codes with parameters [[q2+1,(q-1)2, 4, q-1]]q> where q = 1(mod4), q = pτ, τ ≥ 1 and p is an odd prime. These constructed quantum subsystem codes are different from those codes available in the literature.
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