We propose anew simple image coder based on Discrete Wavelet Transform (DWT). The DWT coefficients are coded in bitplanes. We use a variable order Markovian model to code the DWT coefficient bitplanes. Recently, we have developed this method that used 65 contexts(7). In this paper, the number of contexts is reduced to 34. We show the experimental results, both in terms of distortion measurement and visual comparison, and compare them to well-known methods.