Twisted Reed-Solomon Codes
January 05, 2017 Β· Declared Dead Β· π International Symposium on Information Theory
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Authors
Peter Beelen, Sven Puchinger, Johan Rosenkilde nΓ© Nielsen
arXiv ID
1701.01295
Category
cs.IT: Information Theory
Citations
93
Venue
International Symposium on Information Theory
Last Checked
4 months ago
Abstract
We present a new general construction of MDS codes over a finite field $\mathbb{F}_q$. We describe two explicit subclasses which contain new MDS codes of length at least $q/2$ for all values of $q \ge 11$. Moreover, we show that most of the new codes are not equivalent to a Reed-Solomon code.
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