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In this paper, we define near-MDR (maximum distance with respect to rank) codes over the ring Z4 and prove that a linear code C over Z4 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 Z4 are given.
In this paper, by means of the concept of Type II codes to arbitrary finite rings, we study the relation of codes over finite chain rings and γ-adic codes over a formal power series ring.
In this paper, we study self-dual codes over the ring of formal power series ring. We give construction methods of self-dual codes over this class of rings.
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