Let ℘ N : X ˜ → 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 ℘ N is called p-elementary abelian. The projection ℘ N is vertex-transitive (edge-transitive) if some vertex-transitive (edge-transitive) subgroup of Aut X lifts along ℘ N , and semisymmetric if it is edge- but not vertex-transitive. The projection ℘ N is minimal semisymmetric if ℘ N cannot be written as a composition ℘ N = ℘ ∘ ℘ M of two (nontrivial) regular covering projections, where ℘ 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 [A. Malnič, D. Marušič, P. Potočnik, Elementary abelian covers of graphs, J. Algebraic Combin. 20 (2004) 71–97]). In this paper, all pairwise nonisomorphic minimal semisymmetric elementary abelian regular covering projections of the Möbius–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 ≡ 5 , 9 , 13 , 17 , 21 ( mod 24 ) and p ≡ 1 ( mod 24 ) , respectively, and to ( p + 1 ) / 4 and 1 + ( p + 1 ) / 4 in cases p ≡ 3 , 7 , 11 , 15 , 23 ( mod 24 ) and p ≡ 19 ( mod 24 ) , respectively. For each such covering projection the voltage rules generating the corresponding covers are displayed explicitly.