Lossy source coding under a maximum distortion constraint with decoder side-information

A basic problem in information theory is source coding under a distortion constraint when the decoder has side-information about the source. In this paper the problem of variable length coding of a memoryless source under a maximum distortion constraint when there is side-information solely at the decoder is focused. Using a combinatorial approach, a nonsingle-letter expression for the minimum asymptotic average rate as well as single-letter bounds on this rate is derived