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  • 标题:On the List Recoverability of Randomly Punctured Codes
  • 本地全文:下载
  • 作者:Ben Lund ; Aditya Potukuchi
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2020
  • 卷号:176
  • 页码:30:1-30:11
  • DOI:10.4230/LIPIcs.APPROX/RANDOM.2020.30
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We show that a random puncturing of a code with good distance is list recoverable beyond the Johnson bound. In particular, this implies that there are Reed-Solomon codes that are list recoverable beyond the Johnson bound. It was previously known that there are Reed-Solomon codes that do not have this property. As an immediate corollary to our main theorem, we obtain better degree bounds on unbalanced expanders that come from Reed-Solomon codes.
  • 关键词:List recovery; randomly punctured codes; Reed-Solomon codes
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