Question: states that for a given positive integer t, if a code satisfies dmin 2t + 1, then the code can correct all bit errors

states that for a given positive integer t, if a code satisfies dmin Ú 2t + 1, then the code can correct all bit errors up to and including errors of t bits. Prove this assertion. Hint: Start by observing that for a codeword w to be decoded as another codeword w, the received sequence must be at least as close to w as to w.

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