a. Solve 7x + 5 ? 3 (mod 19). b. State and prove the Chinese Remainder...

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Advance Math

a. Solve 7x + 5 ? 3 (mod 19).

b. State and prove the Chinese Remainder Theorem

c. State and prove Euler’s Theorem.

d. What are the last three digits of 9^1203?

e. Identify all of the primitive roots of 19.

f. Explain what a Feistel system is and explain how to decrypt something encoded with a Feistel system. Prove your result.

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