{"title":"基于迭代矩阵的两类具有可用性的lrc","authors":"Mao Zhang, Ruihu Li","doi":"10.1109/ISCID51228.2020.00081","DOIUrl":null,"url":null,"abstract":"Locally repairable code (LRC) in distributed storage system decreases repair degree of failed nodes. LRC with availability is extremely desired in distributed storage system because it permits local repair of failed nodes and parallel access of hot data. In this paper, a novel construction of LRCs with availability is proposed. Explicitly, by matrix iteration, two families of LRCs with all symbol locality and availability are constructed. The first family LRC is SA-LRC and keeps the code structure binary which is convenient to apply. The second family LRC is systematic code and possesses inspiring information rate $\\frac{r}{{r + 2}}$. Our construction is concise and explicit parity-check matrices of LRCs are given.","PeriodicalId":236797,"journal":{"name":"2020 13th International Symposium on Computational Intelligence and Design (ISCID)","volume":"230 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Two families of LRCs with availability based on iterative matrix\",\"authors\":\"Mao Zhang, Ruihu Li\",\"doi\":\"10.1109/ISCID51228.2020.00081\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Locally repairable code (LRC) in distributed storage system decreases repair degree of failed nodes. LRC with availability is extremely desired in distributed storage system because it permits local repair of failed nodes and parallel access of hot data. In this paper, a novel construction of LRCs with availability is proposed. Explicitly, by matrix iteration, two families of LRCs with all symbol locality and availability are constructed. The first family LRC is SA-LRC and keeps the code structure binary which is convenient to apply. The second family LRC is systematic code and possesses inspiring information rate $\\\\frac{r}{{r + 2}}$. Our construction is concise and explicit parity-check matrices of LRCs are given.\",\"PeriodicalId\":236797,\"journal\":{\"name\":\"2020 13th International Symposium on Computational Intelligence and Design (ISCID)\",\"volume\":\"230 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 13th International Symposium on Computational Intelligence and Design (ISCID)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCID51228.2020.00081\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 13th International Symposium on Computational Intelligence and Design (ISCID)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCID51228.2020.00081","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Two families of LRCs with availability based on iterative matrix
Locally repairable code (LRC) in distributed storage system decreases repair degree of failed nodes. LRC with availability is extremely desired in distributed storage system because it permits local repair of failed nodes and parallel access of hot data. In this paper, a novel construction of LRCs with availability is proposed. Explicitly, by matrix iteration, two families of LRCs with all symbol locality and availability are constructed. The first family LRC is SA-LRC and keeps the code structure binary which is convenient to apply. The second family LRC is systematic code and possesses inspiring information rate $\frac{r}{{r + 2}}$. Our construction is concise and explicit parity-check matrices of LRCs are given.