Moving picture coding apparatus, the moving picture decoding apparatus, moving picture coding method and the moving picture decoding method

Moving picture coding apparatus includes a inter prediction unit 106 for calculating a prediction difference by performing inter-picture prediction, a motion description unit 111 that models the motion information of the target area over a plurality of frames, the code the prediction difference Yes of the frequency converting unit 109 and the quantization unit 110 for performing, based on information of the modeling by the motion description section 111, and a variable length coding unit 113 performs variable length coding according to the occurrence probability of symbols and, the movement describing section 111, in the plurality of frames, specifying a start frame and end frame is modeled by a time function the motion of the target region between the start and end frames.