Near-MDR codes over Z 4

Xiaoyan Zhang, Qili Mao · Wuhan University Journal of Natural Sciences · 2014

In this paper, we define near-MDR (maximum distance with respect to rank) codes over the ring Z 4 and prove that a linear code C over Z 4 is near-MDR if and only if the torsion codes Tor(C) is near-MDS. Finally, the generator matrices of all near-MDR codes over Z 4 are given.

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