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Let $V_i = \\mathbb{F}_q^{k_i}$, $1 \\leq i \\leq n$, be a family of finite-dimensional linear spaces such that $k_1+k_2+\\ldots +k_n = N$ and let $V = V_1 \\oplus V_2 \\oplus \\ldots \\oplus V_n$ endow with the poset block metric $d_{(P,\\pi)}$ induced by the poset $P$ and the partition $\\pi=(k_1,k_2,\\ldots,k_n)$, encompassing both Niederreiter-Rosenbloom-Tsfasman metric and error-block metric. 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