Twisted Reed-Solomon Codes

Published 5 Jan 2017 in cs.IT and math.IT | (1701.01295v2)

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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