Disclosure is a method for randomly and dynamically generating a dynamic index, incorporated in a dynamic index system to improve the color performance of a display, comprises: transmitting video data to the dynamic index system; dynamically generating a substantially random number by a pseudo-random number generating unit; selecting the m bits of the substantially random number as a target adapted to as a position code of the dynamic pattern index matrix; and generating the two-dimensional dynamic pattern index matrix (S×T) by operating the position code.