Prove that for any positive integers m and n, thecheck digit code in with check vector c

Chapter 1, Problem 1.4.25

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Prove that for any positive integers m and n, thecheck digit code in with check vector c 1 [1, 1, . . . , 1] will detect all single errors. (That is, provethat if vectors u and v in differ in exactly one entry,then c # u c # v. 2

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