  Let $\p_N \colon \tX \to X$ be a regular covering projection of connected
graphs with the group of covering transformations isomorphic to $N$. If $N$ is
an elementary abelian $p$-group, then the projection $\p_N$ is called
$p$-elementary abelian. The projection $\p_N$ is vertex-transitive
(edge-transitive) if some vertex-transitive (edge-transitive) subgroup of $\Aut
X$ lifts along $\p_N$, and semisymmetric if it is edge- but not
vertex-transitive. The projection $\p_N$ is minimal semisymmetric if $p_N$
cannot be written as a composition $\p_N = \p \circ \p_M$ of two (nontrivial)
regular covering projections, where $\p_M$ is semisymmetric.
  Finding elementary abelian covering projections can be grasped
combinatorially via a linear representation of automorphisms acting on the
first homology group of the graph. The method essentially reduces to finding
invariant subspaces of matrix groups over prime fields (see {\em J. Algebr.
Combin.}, {\bf 20} (2004), 71--97).
  In this paper, all pairwise nonisomorphic minimal semisymmetric elementary
abelian regular covering projections of the M\"{o}bius-Kantor graph, the
Generalized Petersen graph $\GP(8,3)$, are constructed. No such covers exist
for $p =2$. Otherwise, the number of such covering projections is equal to
$(p-1)/4$ and $1+ (p-1)/4$ in cases $p \equiv 5,9,13,17,21 (\mod 24)$ and $p
\equiv 1 (\mod 24)$, respectively, and to $(p+1)/4$ and $1+ (p+1)/4$ in cases
$p \equiv 3,7,11,15,23 (\mod 24)$ and $p \equiv 19 (\mod 24)$, respectively.
For each such covering projection the voltage rules generating the
corresponding covers are displayed explicitly.
