Twisted Reed-Solomon Codes

Peter Beelen, Sven Puchinger, Johan Rosenkilde ne Nielsen

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Abstract

We present a new general construction of MDS codes over a finite field Fq. We describe two explicit subclasses which contain new MDS codes of length at least q/2 for all values of q ≥ 11. Moreover, we show that most of the new codes are not equivalent to a Reed-Solomon code.
Original languageEnglish
Title of host publicationProceedings of 2017 IEEE International Symposium on Information Theory
PublisherIEEE
Publication date2017
Pages336-40
ISBN (Print)978-1-5090-4096-4
DOIs
Publication statusPublished - 2017
Event2017 IEEE International Symposium on Information Theory - Aachen, Germany
Duration: 25 Jun 201730 Jun 2017

Conference

Conference2017 IEEE International Symposium on Information Theory
CountryGermany
CityAachen
Period25/06/201730/06/2017
Series2017 Ieee International Symposium on Information Theory (isit)
ISSN2157-8117

Keywords

  • MDS codes
  • Reed-Solomon Codes

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