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Let p and q be distinct odd primes. Let N = pq and let be an integer that is co prime to (p 1)(q 1)

Let p and q be distinct odd primes. Let N = pq and let be an integer that is co prime to

(p 1)(q 1)

(a) Explain why there exists an integer such that 1 (mod (p 1)(q 1)).

An encoding algorithm is proposed (to encode numbers in ZN ), by applying the function f(x) = x mod N. The function f is called the encoding function.

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