  The system size dependence of baryon-strangeness (BS) correlations ($C_{BS}$)
are investigated with a multiphase transport (AMPT) model for various collision
systems from $\mathrm{^{10}B+^{10}B}$, $\mathrm{^{12}C+^{12}C}$,
$\mathrm{^{16}O+^{16}O}$, $\mathrm{^{20}Ne+^{20}Ne}$,
$\mathrm{^{40}Ca+^{40}Ca}$, $\mathrm{^{96}Zr+^{96}Zr}$, and
$\mathrm{^{197}Au+^{197}Au}$ at RHIC energies $\sqrt{s_{NN}}$ of 200, 39, 27,
20, and 7.7 GeV. Both effects of hadron rescattering and a combination of
different hadrons play a leading role for baryon-strangeness correlations. When
the kinetic window is limited to absolute rapidity $|y|>3$, these correlations
tend to be constant after the final-state interaction whatever kind of hadrons
subset we chose based on the AMPT framework. The correlation is found to
smoothly increase with baryon chemical potential $\mu_B$, corresponding to the
collision system or energy from the quark-gluon-plasma-like phase to the
hadron-gas-like phase. Besides, the influence of initial nuclear geometrical
structures of $\alpha$-clustered nuclear collision systems of
$\mathrm{^{12}C+^{12}C}$ as well as $\mathrm{^{16}O+^{16}O}$ collisions is
discussed but the effect is found negligible. The current model studies provide
baselines for searching for the signals of Quantum Chromodynamics (QCD) phase
transition and critical point in heavy-ion collisions through the BS
correlation.
