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In coding theory, decoding is the process of translating received messages into codewords of a given code. There have been many common methods of mapping messages to codewords. These are often used to recover messages sent over a noisy channel, such as a binary symmetric channel.
Maximum likelihood decoding, Minimum distance decoding & Syndrome decoding
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decoding displaystyle distance codeword received minimum code mathbb sent channel codewords likelihood error maximum one errors given messages syndrome may
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