A video coding method enables reduction in the decrease in the efficiency of coding a video and enhancement of the image quality of the resulting decoded video. The video coding method includes predicting a video signal to generate a prediction signal; calculating, as a prediction error signal, the difference between the video signal and a prediction signal; and generating a reconstructed video signal by reconstructing the video signal based on the prediction signal and the prediction error signal. The video coding method also includes determining filter data items that are used to filter each of at least two of the prediction signal, the prediction error signal, and the reconstructed video signal; and coding the determined filter data items based on the cross correlations between the determined filter data items.