In this paper we present another characterization of the norming set of T epsilon L((2)l(infinity)(2)) in terms of Norm(T) boolean AND Omega whose proofs are more systematic than those of Kim [6], where Omega = ( (1; 1); (1; 1) ), ( (1, 1), (1,-1) ), ( (1, -1) (1,1) ), (1, -1) ) }.