Twisted Reed-Solomon Codes

January 05, 2017 Β· Declared Dead Β· πŸ› 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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