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Consequently, it is shown that if there is an $N$-member UMEB in $\\mathbb{C}^d\\otimes \\mathbb{C}^d$, then there exists a $(qd)^2-q(d^2-N)$-member UMEB in $\\mathbb{C}^{qd}\\otimes \\mathbb{C}^{qd}$ for any $q\\in\\mathbb{N}$. This improves the results in [Phys. Rev. A 90, 034301(2014)], which shows that there exists a $(qd)^2-(d^2-N)$-member UMEB in $\\mathbb{C}^{qd}\\otimes \\mathbb{C}^{qd}$ provided that an $N$-member UMEB exsits in $\\mathbb{C}^d\\otimes \\mathbb{C}^d$. 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Consequently, it is shown that if there is an $N$-member UMEB in $\\mathbb{C}^d\\otimes \\mathbb{C}^d$, then there exists a $(qd)^2-q(d^2-N)$-member UMEB in $\\mathbb{C}^{qd}\\otimes \\mathbb{C}^{qd}$ for any $q\\in\\mathbb{N}$. This improves the results in [Phys. Rev. A 90, 034301(2014)], which shows that there exists a $(qd)^2-(d^2-N)$-member UMEB in $\\mathbb{C}^{qd}\\otimes \\mathbb{C}^{qd}$ provided that an $N$-member UMEB exsits in $\\mathbb{C}^d\\otimes \\mathbb{C}^d$. 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