Cse 533: Error-correcting Codes
نویسندگان
چکیده
Proof. (of Theorem 2.1) The encoding function E : {0, 1} → {0, 1}, is chosen randomly, that is, for every messagem ∈ {01, }, the corresponding codeword, E(m) is chosen uniformly at random from {0, 1}. 1 The decoding function will be the maximum likelihood decoding, that is, choose the closest codeword to the received word. More formally, the decoding function D : {0, 1} → {0, 1} is defined as follows:
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