Question: Introduction to Cryptography Question 4. [5 points each] Let P = {a,b,c,d}, C = {a,b,7,8,9,0}, K = {k, k2, kz, k, k5} with Pr[a] =

Introduction to CryptographyIntroduction to Cryptography Question 4. [5 points each] Let P = {a,b,c,d},

Question 4. [5 points each] Let P = {a,b,c,d}, C = {a,b,7,8,9,0}, K = {k, k2, kz, k, k5} with Pr[a] = 0.2, Pr[b] = 0.3, Pr[c] = 0.4, Pr[d] = 0.1, and Pr[k] = 0.2 for each k K. Consider the following encryption matrix: a b d a V A a ki k2 kz k4 ks B v B y 8 a B a V A. Encrypt the plaintext aabbbccd using ka B. Decrypt the ciphertext "yya00 using ka C. What is C(kz)? D. What is K(a)? E. What is K(b, a)? F. Find Pr [@] G. Find Pr [O[c] H. Find Pr [c|0] Question 4. [5 points each] Let P = {a,b,c,d}, C = {a,b,7,8,9,0}, K = {k, k2, kz, k, k5} with Pr[a] = 0.2, Pr[b] = 0.3, Pr[c] = 0.4, Pr[d] = 0.1, and Pr[k] = 0.2 for each k K. Consider the following encryption matrix: a b d a V A a ki k2 kz k4 ks B v B y 8 a B a V A. Encrypt the plaintext aabbbccd using ka B. Decrypt the ciphertext "yya00 using ka C. What is C(kz)? D. What is K(a)? E. What is K(b, a)? F. Find Pr [@] G. Find Pr [O[c] H. Find Pr [c|0]

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