1. A method for decoding moving images, comprising: (a) performing a variable length decoding of the moving image, and outputting a quantized prediction residual data and filter coefficient information; (b) generating a predicted image based on an image stored in a buffer memory; (c) performing inversed quantization and inverse transformation to the quantized prediction residual data, and outputting prediction residual; (d) adding the predicted image and the prediction residual, and outputting a decoded image; (e) performing deblocking process to the decoded image, and outputting a deblocked image; (f) calculating a filter coefficient vector by adding a fixed filter coefficient vector and a variable filter coefficient vector, wherein the fixed filter coefficient vector is determined per an unit area constituting the deblocked image, and the variable filter coefficient vector is changed per an target area; and (g) performing filtering process to the deblocked image by using the filter coefficient vector and pixel values of pixels in the deblocked image.