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On the deterministic code capacity region of an arbitrarily varying multiple-access channel under list decoding

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1 Author(s)
Sirin Nitinawarat ; Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, 20742, USA

We study the capacity region CL of an arbitrarily varying multiple-access channel (AVMAC) for deterministic codes with decoding into a list of a fixed size L and for the average error probability criterion. Motivated by known results in the study of fixed size list decoding for a point-to-point arbitrarily varying channel, we define for every AVMAC whose capacity region for random codes is nonempty, a nonnegative integer U called its symmetrizability. It is shown that for every L ≤ U, CL has an empty interior, and for every L ≥ (U +1)2, CL equals the capacity region of the AVMAC for random codes with a known single-letter characterization.

Published in:

2010 IEEE International Symposium on Information Theory

Date of Conference:

13-18 June 2010