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Verify that Euler's Theorem holds in Zm, m = 6,9, for all elements a for which gcd(a,m) = 1. Also verify that the theorem does not hold for elements a for which gcd(a,m) ≠ 1.

For the affine cipher in Chapter 1 the multiplicative inverse of an element modulo 26 can be found a

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Derive this relationship by using Euler's Theorem.

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