and show that p1v|w12 7 p1v|w22 if and only if d1v,w12 6 d1v,w22. This proves that the

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and show that p1v|w12 7 p1v|w22 if and only if d1v,w12 6 d1v,w22. This proves that the codeword w that gives the largest value of p1v|w2 is that word whose distance from v is a minimum.

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