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  3. 13 let d d2 dz wi w2wk0 mod n...

Question: 13 let d d2 dz wi w2wk0 mod n...

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13. Let (dı, d2,..., dz) - (wi, w2,...,wk)-0 (mod n) be an error detection scheme for the k-digit identification number did2 .-dk, where 0くdi 〈 n. Prove that all transposition errors of two digits di and d, are detected if and only if gcd(wi - w,,n) - 1 for i and j between 1 and k.

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