  We construct a quasi-canonical lifting of a $K3$ surface of finite height
over a finite field of characteristic $p\geq3$. Such results are previously
obtained by Nygaard-Ogus when $p\geq5$. For this purpose, we use the
display-theoretic deformation theory developed by Langer, Zink, and Lau. We
study the display structure of the crystalline cohomology of deformations of a
$K3$ surface of finite height in terms of the Dieudonn\'e display of the
enlarged formal Brauer group.
