Beyond group capacity in multi-terminal communications

A new structured coding scheme based on transversal group codes is proposed. We investigate the information theoretic performance limits for this strategy in multi-terminal communications. Achievability results are derived for lossless reconstruction of sum of two sources. In addition, a new rate region is presented for the problem of computation over multiple access channel. We show that the application of the new coding strategy, results in strict gains in terms of achievable rates in both settings.