On Error Decoding of Locally Repairable and Partial MDS Codes

Lukas Holzbaur, Sven Puchinger, Antonia Wachter-Zeh

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Abstract

We consider error decoding of locally repairable codes (LRC) and partial MDS (PMDS) codes through interleaved decoding. For a specific class of LRCs we investigate the success probability of interleaved decoding. For PMDS codes we show that there is a wide range of parameters for which interleaved decoding can increase their decoding radius beyond the minimum distance with the probability of successful decoding approaching 1, when the code length goes to infinity.
Original languageEnglish
Title of host publicationProceedings of 2019 IEEE Information Theory Workshop
Number of pages26
PublisherIEEE
Publication date2019
ISBN (Electronic)978-1-5386-6899-3
DOIs
Publication statusPublished - 2019
Event2019 IEEE Information Theory Workshop - Donners Event, Visby, Sweden
Duration: 25 Aug 201928 Aug 2019
http://itw2019.org

Conference

Conference2019 IEEE Information Theory Workshop
LocationDonners Event
CountrySweden
CityVisby
Period25/08/201928/08/2019
Internet address
Series2019 Ieee Information Theory Workshop, Itw 2019
ISSN2475-420x

Keywords

  • Locally Repairable Codes
  • Partial MDS codes
  • Interleaved Decoding
  • Metzner-Kapturowski

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