If p = 83, q = 127, and b = 17, compute a in this modified cryptosystem, as well as inthe original RSA cryptosystem. 1. Let n = pq, where p and q are distinct odd primes. DefineX(n)= (p-1)(q-1)gcd(p-1,q-1)*Suppose that we modify the RSA cryptosystem by requiring that ab = 1 (mod X(n)).(a) If p = 83, q = 127, and b = 17, compute a in this modified cryptosystem, as well as inthe original RSA cryptosystem.

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Answered: 1. Let n = pq, where p and q are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Let n = pq, where p and q are distinct odd primes. Define X(n)= (p-1)(q-1) gcd(p-1,q-1)* Suppose that we modify the RSA cryptosystem by requiring that ab = 1 (mod X(n)). (a) If p = 83, q = 127, and b = 17, compute a in this modified cryptosystem, as well as in the original RSA cryptosystem.