We investigate the simplest Slepian-Wolf source network, consisting of an information source correlated with a second source used as a side-information for the decoder but not the encoder. The information source and side-information source are modeled as binary random sequences X=iY=Yi , respectively, for which the pairs (Xi Yi are independent- identically distributed (i.i.d). In 1973, Slepian and Wolf characterized the optimum rate at which X can be encoded so that the decoder can recover X with the aid of Y . It is only in recent years, however, that practical coding schemes have been proposed which encode at a rate close to the Slepian- Wolf rate. One such coding scheme, proposed by Ramchandran et al.2, uses a binary linear block channel code for encoding X while the decoder is furnished with the coset for each source block. We propose an alternate coding scheme, in which we also use a linear block channel code based encoder, but instead use a decoder which minimizes distortion as measure by the per-letter expected Hamming distance between source blocks and decoded source blocks. We provide the results of computer calculations indicating the distortion improvement over the Ramchandran et al.2 coding scheme that can be expected with our coding scheme. The comparisons are done for several source models and for several linear block codes. Copyright © 2006 CSREA Press.