  We construct a family of affinoids in the Lubin-Tate perfectoid space and
their formal models such that the middle cohomology of the reductions of the
formal models realizes the local Langlands correspondence and the local
Jacquet-Langlands correspondence for simple supercuspidal representations in
the case where the dimension of Galois representations is prime to the residue
characteristic. The reductions of the formal models are isomorphic to the
perfections of Artin-Schreier varieties associated to quadratic forms.
