Near-MDR codes over Z
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| Authors: | Xiaoyan Zhang Qili Mao |
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| Institution: | 1. School of Mathematics and Physics, Hubei Polytechnic University, Huangshi, 435003, Hubei, China
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| Abstract: | 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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| Keywords: | linear code torsion code residue code almost-MDR code near-MDR code |
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