Twisted Reed-Solomon Codes
IEEE Transactions on Information Theory（2017）
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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Key words
MDS Codes,Reed-Solomon Codes
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