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Suppose you are doing RSA encryption with p = 101, q = 113, and e = 3.

(a) Find the decryption exponent d. (Hint: Although there are methodical ways to do this, trial and error is efficient for e = 3.)

(b) Encrypt the message m = 9876. Note that evaluating m3 with 32-bit arithmetic results in overflow.

Computer Engineering, Engineering

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