Question: Problem 1 Consider polyalphabetic substitution using the following three keys: K1: abcdefghijklmnopqrstuvwxyz badcfehgjilknmporqtsvuxwzy K2: abcdefghijklmnopqrstuvwxyz zyxwvutsrqponmlkjihgfedcba K3: abcdefghijklmnopqrstuvwxyz edcbakjihfgsrqponmlzxyvuwt Suppose the keys are used cyclically

Problem 1 Consider polyalphabetic substitution using the following three keys:

K1: abcdefghijklmnopqrstuvwxyz badcfehgjilknmporqtsvuxwzy

K2: abcdefghijklmnopqrstuvwxyz zyxwvutsrqponmlkjihgfedcba

K3: abcdefghijklmnopqrstuvwxyz edcbakjihfgsrqponmlzxyvuwt

Suppose the keys are used cyclically in the order K1, K2, K3, K1, K2, K3, etc. What will be the encryption of the message abracadabra?

Problem 2 Consider the 3-bit block cipher in slide 8-18. Suppose the plaintext is 101101101. If CBC is used with initial vector 110, what will be the resulting ciphertext? Show work, not just the final answer.

Problem 3 Consider RSA with public key (n, e) and private key (n, d) where n = 35, e = 5, and d = 29. What is the encryption of m = 34? What is the decryption of c = 34? Show calculations, not just final answers.

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