• In cryptography, the Chinese Reminder Theorem can be used for the purpose of generating random numbers. How the algorithm is used for functionality for modular computation. Discuss how this can be used to prevent the reply attack and for countermeasures. Hint: What is a nonce? • How Euler's totient function is used in cryptography. Describe this function and its relationship to public key cryptography. • Finally, compare Fermat's primality test to the Miller-Rabin. What are the differences, strengths, and advantages?
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