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Past exam of the communication Theory course of the University of Oxford / 2009 / 2 / a / iii / Solution

Codex (@codex,  0) ... Communication Theory course of the University of Oxford Past exam of the communication Theory course of the University of Oxford 2009 2 a iii
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A compact code or optimal prefix code minimizes the expected codeword length ∑x​px​ℓx​ for the given source probabilities and coding alphabet. The relevant comparison here is among binary prefix codes. The minimum is also the minimum among uniquely decodable codes, since the Kraft-McMillan inequality permits every uniquely decodable length list to be realized by a prefix code with the same lengths.

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