MDS SELF-DUAL CODES OVER GALOIS RINGS WITH EVEN CHARACTERISTIC

MDS SELF-DUAL CODES OVER GALOIS RINGS WITH EVEN CHARACTERISTIC

Let GR(2m, r) be a Galois ring with even characteris-tic. We are interested in the existence of MDS(Maximum DistanceSeparable) self-dual codes over GR(2m, r). In this paper, we provethat there exists an MDS self-dual code over GR(2m, r) with pa-rameters [n, n/2, n/2 + 1] if (n − 1) | (2r − 1) and 8 | n.