A method and an apparatus to encode a series of quantized coefficients of a transform of a block of image data. The transform is such that 0 is the most likely coefficient amplitude and 1 is the next most likely coefficient amplitude. The method includes forming symbols (called events) from the series of quantized transform coefficients. An event is a run of none or more zero-valued coefficients followed by a run of one of a predefined set of sequences, each sequence in the set being either a single coefficient of amplitude greater than one, or a sequence of 1's and 0's starting with a coefficient of amplitude 1. The method includes forming a codeword for each formed event. Relatively short codewords are formed to represent events that are relatively more likely to occur, and relatively long codewords are formed to represent events that are relatively less likely to occur. In one implementation, each event is a run of none or more zero-valued coefficients followed by one of a predefined set of sequences, each sequence in the set being either a single coefficient of amplitude greater than one, or a sequence of 1's and 0's starting with a coefficient of amplitude 1. In another implementation, an event is a run of none or more zero-valued coefficients followed by a run of one or more non-zero-amplitude coefficients. In a variation, The events include runs of none or more zero-valued coefficients followed by a subset of all possible runlengths of non-zero-amplitude coefficients. In one implementation, the subset includes no runs of length 2 or more of coefficients of amplitude 3 or more.