We consider a grid-based deployment scheme in which keys are predistributed in sensor nodes following a transversal design. This scheme was first proposed by Ruj, Maitra, and Roy in [19]. In their scheme the RF region was considered to be the a square of appropriate dimension. In this article, we consider the RF region to be the Lee sphere of appropriate radius. This is a better approximation than the square RF region and all calculations of connectivity and resiliency is done with respect to this parameter.