Coding and decoding of transformation coefficients in image or video coders

It is a new and efficient method for the binary arithmetic coding of a conversion factor [in / about the method and equipment for coding the conversion factor in a picture and/or a video encoder, and a decoder / especially / the field of video coding]. Significance mapping which shows the position within the block in a scanning order of the conversion factor of non-zero is coded arithmetically, and the value (level) of the conversion factor of non-zero is arithmetically coded in order of the reverse scan which leaves the conversion factor of the non-zero of the last in a block next. The context determined by the number of the conversion factors which have the absolute value 1 already coded in order of the scan reverse about the 1st binary determination in the binary determination of binary ゼーション of the absolute value of each conversion factor is used, The context determined by the number of the conversion factors which have a larger absolute value than 1 already coded in order of the scan reverse about the 2nd to the 14th binary determination is used, and binary arithmetic coding is carried out with a context adaptation type. [Selection figure] Fig. 6