{"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}
引用次数: 3

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.
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我们提出了一类新的具有良好渐近性质的码。这些码是用我们引入的一个新的扰动算子从简单的旧码构造而来的。我们为这些代码提供了一种误差减少算法,该算法只使用精度很小的基本运算。我们还提出了一种基于扩展器的Alon-Bruck-Naor-Naor-Roth码与任意二进制码连接时的软误差减少算法。
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