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Codes in rank metric have a wide range of applications. To construct such codes with better list-decoding performance explicitly, it is of interest to investigate the list-decodability of random rank metric codes. It is shown that if $n/m=b$ is a constant, then for every rank metric code in $ {\mathbf {F}}_{q}^{m\times n}$ with rate $R$ and list-decoding radius $\rho $ must obey the Gilbert–Varshamov...
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