  Two-particle correlations are presented for K$^0_\mathrm{S}$, $\Lambda$, and
$\overline\Lambda$ strange hadrons as a function of relative momentum in
lead-lead collisions at a nucleon-nucleon center-of-mass energy of 5.02 TeV.
The dataset corresponds to an integrated luminosity of 0.607 nb$^{-1}$ and was
collected using the CMS detector at the CERN LHC. These correlations are
sensitive to quantum statistics and to final-state interactions between the
particles. The source size extracted from the K$^0_\mathrm{S}$K$^0_\mathrm{S}$
correlations is found to decrease from 4 to 1 fm in going from central to
peripheral collisions. Strong interaction scattering parameters (i.e.,
scattering length and effective range) are determined from the
$\Lambda$K$^0_\mathrm{S}$ and $\Lambda\Lambda$ (including their charge
conjugates) correlations using the Lednick$\'y$-Lyuboshitz model and are
compared to theoretical and other experimental results.
