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Question: 11 it is often useful to use an inner product...

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11. It is often useful to use an inner product notation for this type of error detection scheme; hence, we will use the notion (di, d2,...,d^) (wi,w2,... ,wk)0 (mod n) to mean Suppose that (di, d2,..., dk) (wi, w2,.. . , wk)-0 (mod n) is an error detection scheme for the k-digit identification number d1dq . . . dk, where 0 〈 di 〈 n. Prove that all single-digit errors are detected if and only if gcd(wi, n-1 for 1 〈 k.

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