  Inclusive jet and dijet cross-sections are measured in proton-proton
collisions at a centre-of-mass energy of 13 TeV. The measurement uses a dataset
with an integrated luminosity of 3.2 fb$^{-1}$ recorded in 2015 with the ATLAS
detector at the Large Hadron Collider. Jets are identified using the
anti-${k_t}$ algorithm with a radius parameter value of $R=0.4$. The inclusive
jet cross-sections are measured double-differentially as a function of the jet
transverse momentum, covering the range from 100 GeV to 3.5 TeV, and the
absolute jet rapidity up to $|y|=3$. The double-differential dijet production
cross-sections are presented as a function of the dijet mass, covering the
range from 300 GeV to 9 TeV, and the half absolute rapidity separation between
the two leading jets within $|y|<3$, $y*$, up to $y*=3$. Next-to-leading-order,
and next-to-next-to-leading-order for the inclusive jet measurement,
perturbative QCD calculations corrected for non-perturbative and electroweak
effects are compared to the measured cross-sections.
