Conference paper
Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography
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.
Language: | English |
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Publisher: | IEEE |
Year: | 2018 |
Pages: | 946-950 |
Proceedings: | 2018 IEEE International Symposium on Information Theory |
ISBN: | 153864102X , 153864102x , 1538647818 , 9781538641026 and 9781538647813 |
ISSN: | 21578117 and 21578095 |
Types: | Conference paper |
DOI: | 10.1109/ISIT.2018.8437923 |
ORCIDs: | Beelen, Peter and Rosenkilde, Johan Sebastian Heesemann |