A method for encoding a block of a picture is disclosed. The method comprises for at least one sample of the block and for one current component: obtaining a prediction value; determining a mapped residual value from a source value of the sample and from the prediction value responsive to a mapping function; and encoding the mapped residual value into a bitstream; wherein the mapping function is derived to obtain at least one of a reduction of a bit cost of the bitstream for a given quality of reconstruction or an increase of quality of reconstruction for a given bit cost of the bitstream.