Further, excessive surface starch would tend to close up the pores of the medium to the application of corrugation adhesives, leading also to an inferior product. Thus, statements such as those contained in U.S. Pat. No. 4,191,610 (Prior) that "Viscosity and penetration of fiber sheet limitations" necessitate a maximum 15 percent starch solid composition for medium weight paper products (col. 3, lines 26-38) actually teach away from the possibility of using higher starch solid compositions with heavier weight mediums. The present invention, however, proceeds contrary to this accepted wisdom/ignorance and recognizes the means by which improved starch deposition and resulting advantages can be obtained. While the Prior reference disclosing using sulfite waste liquor as a means for adding starch, the present invention has no need for sulfite waste liquor. The present invention achieves the goal of improved strength by forcing additional starch into the interior of the medium or linerboard. A principal manner for achieving such improved penetration is utilizing increased nip pressures, preferably from about 300 to about 550 pli.