@inproceedings{0f55bf745cf54c5aa5449f6ece661497,
title = "Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography",
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.",
keywords = "MDS Codes, McEliece Cryptosystem, Reed-Solomon Codes, Structural Attacks",
author = "Peter Beelen and Martin Bossert and Sven Puchinger and Johan Rosenkilde",
note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Symposium on Information Theory, ISIT 2018 ; Conference date: 17-06-2018 Through 22-06-2018",
year = "2018",
month = aug,
day = "15",
doi = "10.1109/ISIT.2018.8437923",
language = "English",
isbn = "9781538647806",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "946--950",
booktitle = "2018 IEEE International Symposium on Information Theory, ISIT 2018",
}