A high strength film/board lamination is formed from a cross-oriented laminated film and a corrugated layer. The cross-laminated film is formed from a first oriented plastic layer and a second oriented plastic layer in which the orientations of the plastic layers cross at an angle between but not equal to zero degrees and 180 degrees relative to one another. The cross-oriented laminated film is adhered to the corrugated layer in a noncontinuous manner. A method of forming a high strength lamination and a method of improving tear resistance in corrugated paper or paperboard based materials are also disclosed.