Question: Let C be an [ n , M ] - code having distance d = 2 t . ( a ) Prove that C can

Let C be an [n, M]-code having distance d =2t.
(a) Prove that C can correct any pattern of t 1 errors in codeword.
(b) Prove that if used for error detection only, C can detect 2t 1 errors.
Please give a detail proof and explanation

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