Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography

Peter Beelen, Martin Bossert, Sven Puchinger, Johan Sebastian Heesemann Rosenkilde

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

We present a generalisation of Twisted Reed-Solomon codes containing a new large class of MDS codes. We prove that the code class contains a large subfamily that is closed under duality. Furthermore, we study the Schur squares of the new codes and show that their dimension is often large. Using these structural properties, we single out a subfamily of the new codes which could be considered for code-based cryptography: These codes resist some existing structural attacks for Reed-Solomon-like codes, i.e. methods for retrieving the code parameters from an obfuscated generator matrix.
Original languageEnglish
Title of host publicationProceedings of 2018 IEEE International Symposium on Information Theory
PublisherIEEE
Publication date2018
Pages946-950
ISBN (Print)9781538647813
DOIs
Publication statusPublished - 2018
Event2018 IEEE International Symposium on Information Theory - Talisa Hotel, Vail, United States
Duration: 17 Jun 201822 Jun 2018

Conference

Conference2018 IEEE International Symposium on Information Theory
LocationTalisa Hotel
Country/TerritoryUnited States
CityVail
Period17/06/201822/06/2018

Keywords

  • MDS Codes
  • Reed-Solomon Codes
  • McEliece Cryptosystem
  • Structural Attacks

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