Title: Lossless coding with coded sided information Daniel Marco Center for the Mathematics of Information California Institute of Technology ABSTRACT: I will discuss the problem, first introduced by Ahlswede and Körner in 1975, of lossless source coding with coded side information. Specifically, let X and Y be two random variables such that X is desired losslessly at the decoder while Y serves as side information. The random variables are encoded independently, and both descriptions are used by the decoder to reconstruct X. Ahlswede and Körner describe the achievable rate region in terms of an auxiliary random variable. This is a rather common approach for describing rate regions. The problem with this approach, however, is that it is difficult to actually determine what the rate region is. In this talk I will give a partial solution for the optimal auxiliary random variable, thereby describing part of the rate region explicitly in terms of the distribution of X and Y. No prior knowledge is required.