Jianzhang Chen, Jianping Li, Jie Lin, Yuanyuan Huang
{"title":"由负循环码驱动的量子子系统码","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":"{\"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}","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}
Quantum subsystem codes drived from negacyclic codes
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.