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Three-Receiver broadcast channels (BC) are of interest due to their information-theoretic differences with two-receiver one. In this paper, we derive achievable rate regions for two classes of 3-receiver BC with side information (SI), i.e. Multilevel BC (MBC) and 3-receiver less noisy BC, using a combination of superposition coding, Gelfand-Pinsker binning scheme and Nair-El Gamal indirect decoding. Our rate region for MBC subsumes Steinberg rate region for 2-receiver degraded BC with SI as its special case. We will also show that the obtained achievable rate regions in the first two cases are tight for several classes of non-deterministic, semi-deterministic, and deterministic 3-receiver BC when SI is available both at the transmitter and at the receivers. We also prove that as far as a receiver is deterministic in the three-receiver less noisy BC, the presence of side information at that receiver does not affect the capacity region. We have also provided the writing on dirty paper (WDP) property for 3-receiver BC is provided as an example. In the last section, we provide simple bounds on the capacity region of the Additive Exponential noise three-receiver broadcast channels with Additive Exponential interference (AEN-3BC-EI)., 13 pages, 4 figures, This paper is partially presented at 2012 IEEE International Symposium on Information Theory

In this paper we study the degraded broadcast channel with action dependent states and causal side information at the encoder. Two main models are studied: the case where the actions depend only on the messages, and the case where the actions can depend also on past values of the state. The latter model is referred to as actions with feedback. When the actions depend only on the messages, the full capacity region is derived. We then show that if the channel is physically degraded, then dependence of the actions on past values of the state does not increase its capacity region. We further demonstrate by an example that if the channel is stochastically degraded, action feedback can increase its capacity region. This situation resembles previous results on feedback in regular (state-independent) broadcast channels.

In this paper the compound broadcast channel with confidential messages is studied, where it is only known to the transmitter and receivers that the actual channel realization is fixed and from a pre-specified set of channels. An achievable rate region for the strong secrecy criterion is derived. Further, a multi-letter outer bound is given, which establishes, together with the achievable rate region, a multi-letter expression of the strong secrecy capacity region.