A search for charged Higgs bosons decaying into a top and a bottom quark-antiquark pair in the fully hadronic final state is presented. The analysis uses LHC proton-proton collision data recorded with the CMS detector in 2016 at \sqrt{s} = 13~\mathrm{TeV}, corresponding to an integrated luminosity of 35.9~\mathrm{fb}^{-1}. No significant deviation above the expected background is observed. Model-independent upper limits at $95\%$ confidence level are set on the charged Higgs boson production cross section times branching fraction in two scenarios. For production in association with a top quark, limits of 21.3 to 0.007~\mathrm{pb} are calculated for charged boson masses in the range 200~\mathrm{GeV} to 3~\mathrm{TeV}. Combination with data from a search in the leptonic final states results in improved limits of 9.25 to 0.005~\mathrm{pb}. The complementary s-channel production of a charged Higgs boson is investigated in the mass range 800~\mathrm{GeV} to 3~\mathrm{TeV} and the corresponding upper limits are 4.5 to 0.023~\mathrm{pb}. These results are interpreted in different minimal supersymmetric extensions of the standard model.

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