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1. Multiply 10010111 00000111 in GF[28] Use the irreducible polynomial in class. 2. Suppose you encrypt a message m by computing C = m23 (mod 30). Assume that ged(m, 30) = 1. Find a decryption exponent d such that c = m (mod 30)? (Hint: 30 is not the product of two prime numbers, as RSA requests, but the same principle works. Remember our basic principle which is derived from Euler Theorem: in modular exponentiation mod n what matters is how much is the exponent mod (p(n). You will need to determine formula I gave you. Then think about the property (23- d) should the number have, and derive d based on this.)

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