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The zero error capacity of a channel is defined as the least upper bound of rates at which it is possible to transmit information with zero probability of error. Unsolved cases are addressed in this paper to complement the table of the zero error capacity of noisy binary channels with 1-memory. All cases are classified according to the isomorphic property of their confusability graphs, and then we...
The arbitrarily varying channel can be modeled as communication in the presence of a jammer. In this paper we propose a new model: a jammer who knows the channel input, and where the transmitter and receiver share a secret random key. Shared randomness differentiates this scenario from the case where the jammer knows the message. For sufficiently large key rate, we determine the capacity of this channel...
We introduce the continuous time asynchronous channel as a model for time jitter in a communication system with no common clock between the transmitter and the receiver. We have obtained a simple characterization for an optimal zero-error self-synchronizable code for the asynchronous channel. The capacity of this channel is determined by both a combinatorial approach and a probabilistic approach....
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