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State constraints and list decoding for the AVC

Anand D. Sarwate·Michael Gastpar
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Abstract

List decoding for arbitrarily varying channels (AVCs) under state constraints is investigated. It is shown that rates within $ε$ of the randomized coding capacity of AVCs with input-dependent state can be achieved under maximal error with list decoding using lists of size $O(1/ε)$. Under average error an achievable rate region and converse bound are given for lists of size $L$. These bounds are based on two different notions of symmetrizability and do not coincide in general. An example is given that shows that for list size $L$ the capacity may be positive but strictly smaller than the randomized coding capacity. This behavior is different than the situation without state constraints.

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Anand D. Sarwate, Michael Gastpar. 2009-10-06. State constraints and list decoding for the AVC. https://arxiv.org/abs/cs/0701146

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