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Lasers as illumination sources in displays have excellent features compared to lamps and Light Emitting Diodes (LEDs).Lasers have the following advantages: high luminance,small etendue,long lifetime,linear polarization,low power consumption and mercury free,and they can enable a wider color gamut.However,the highly temporal and spatial coherence of the laser introduces a grainy light intensity distribution known as speckle Northwest University,when the laser beam illuminates a rough screen,and the image quality on the screen,thus,will be degraded.In the method of a changing diffuser with deterministic orthogonal phase codes,we proposed using a two levels (-1 and +1 as variables) Orthogonal Array (OA) to generate a binary phase diffuser for speckle reduction in laser projection displays.Compared to Hadamard Matrix (HM),the diffuser generated from OA was more flexible.Speckle contrast when introducing the binary phase diffuser at an intermediate image plane within the projector was calculated,and the minimum speckle Contrast Ratio (CR) could be achieved by finite steps change of the diffusers patterns.By Kronecker algebra,the two-dimensional (2D) diffuser was replaced by two one-dimensional (1 D) ones with the same function and they could be implemented into the laser projector electronically and easily.