Channel Codes for Relayless Networks with General Message Access Structure

Abstract

Channel codes for relayless networks with the general message access structure is introduced. It is shown that the multi-letter characterized capacity region of this network is achievable with this code. The capacity region is characterized in terms of entropy functions and provides an alternative to the regions introduced by [Somekh-Baruch and Verdú, ISIT2006][Muramatsu and Miyake, ISITA2018].

arXiv comment(v1) 26 pages, to submitted to IEEE ITW2023, (v2) 27 pages, Remark 1 and Lemma 9 in v1 is deleted, Lemma 7 in v2 is added, Eq. (13) and the proof of Lemma 7 in v1 (Eq. (14) and the proof of Lemma 8 in v2) are revised