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It was shown in arXiv:1410.7168 that compactifying $D=6$, $\mathcal{N}=(1,0)$ungauged supergravity coupled to a single tensor multiplet on S$^3$ one gets aparticular $D=3$, $\mathcal{N}=4$ gauged supergravity which is a consistentreduction. We construct two supersymmetric black string solutions in this3-dimensional model with one and two active scalars respectively. Uplifting thefirst, one gets a dyonic string solution in $D=6$ that has been known for along time. Whereas, uplifting the second solution, one finds a very interestingconfiguration where magnetic strings are located uniformly on a circle in aplane within the 4-dimensional flat transverse space and electric strings aredistributed homogeneously inside this circle. Both solutions have$\mathrm{AdS}_3 \times$ S$^3$ limits.

Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions