The AVC with Noiseless Feedback and Maximal Error Probability: A Capacity Formula with a Trichotomy
To use common randomness in coding is a key idea from the theory of identification. Methods and ideas of this theory are shown here to have also an impact on Shannon’s theory of transmission. As indicated in the title, we determine the capacity for a classical channel with a novel structure of the capacity formula. This channel models a robust search problem in the presence of noise (see R. Ahlswede and I. Wegner, Search Problems, Wiley 1987).
KeywordsConvex Hull Error Probability Encode Function Elimination Technique Error Control Code
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