Twisted reed-solomon codes
Peter Beelen, Sven Puchinger, Johan Rosenkilde · 2017
We present a new general construction of MDS codes over a finite field Fq. We describe two explicit subclasses which contain new MDS codes of length at least q/2 for all values of q ≥ 11. Moreover, we show that most of the new codes are not equivalent to a Reed-Solomon code.