{"title":"微扰码","authors":"A. Akavia, R. Venkatesan","doi":"10.1109/allerton.2008.4797725","DOIUrl":null,"url":null,"abstract":"We present a new family of codes with good asymptotic properties. These codes are constructed from simple old codes using a new perturbation operator that we introduce. We provide an error reduction algorithm for these codes that uses only elementary operations with small precision. We also present a soft error reduction algorithm for the expander based codes of Alon-Bruck-Naor-Naor-Roth when concatenated with any binary code.","PeriodicalId":120561,"journal":{"name":"2008 46th Annual Allerton Conference on Communication, Control, and Computing","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Perturbation codes\",\"authors\":\"A. Akavia, R. Venkatesan\",\"doi\":\"10.1109/allerton.2008.4797725\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a new family of codes with good asymptotic properties. These codes are constructed from simple old codes using a new perturbation operator that we introduce. We provide an error reduction algorithm for these codes that uses only elementary operations with small precision. We also present a soft error reduction algorithm for the expander based codes of Alon-Bruck-Naor-Naor-Roth when concatenated with any binary code.\",\"PeriodicalId\":120561,\"journal\":{\"name\":\"2008 46th Annual Allerton Conference on Communication, Control, and Computing\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 46th Annual Allerton Conference on Communication, Control, and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/allerton.2008.4797725\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 46th Annual Allerton Conference on Communication, Control, and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/allerton.2008.4797725","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We present a new family of codes with good asymptotic properties. These codes are constructed from simple old codes using a new perturbation operator that we introduce. We provide an error reduction algorithm for these codes that uses only elementary operations with small precision. We also present a soft error reduction algorithm for the expander based codes of Alon-Bruck-Naor-Naor-Roth when concatenated with any binary code.