  We investigate the supersymmetric versions of Bondi-Metzner-Sachs or,
equivalently, conformal Carroll symmetry in boundary dimensions $d>3$, with
applications of flat space holography in mind. We identify the contraction of
the relativistic symmetry relevant for our purposes and construct a
finite-dimensional Carrollian superconformal algebra (CSA) before proposing an
infinite-dimensional lift. We provide the superspace formulation for
$\mathcal{N}=1$ CSA and work towards an understanding of the representation
theory of the algebra. We conclude with some aspects of $\mathcal{N}>1$ CSA.
