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5.45. Consider the cipher that has three keys, three plaintexts, and four ciphertexts that are combined using the following encryption table (which is similar to Table 5.12 used in Example 5.54 on page 265).

5.45. Consider the cipher that has three keys, three plaintexts, and four ciphertexts that are combined using the following encryption table (which is similar to Table 5.12 used in Example 5.54 on page 265).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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5.45. Consider the cipher that has three keys, three plaintexts, and four ciphertexts that are combined using the following encryption table (which is similar to Table 5.12 used in Example 5.54 on page 265). f(m₁) = f(m₂) Suppose further that the plaintexts and keys are used with the following probabili- ties: = k₁ k2 k3 2 m1 M2 M3 C2 C4 C1 C1 C3 C2 C3 C1 C2 f(m3) = = f(k1) = f(k₂) = f(k3) (c) Compute f(c2 | m₁) and ƒ(c3 | m₁). (d) Compute f(k₁ | c3) and ƒ(k2 | C3). = 13. (a) Compute f(c₁), f(c2), f(C3), and f(c4). (b) Compute f(c₁ | m₁), ƒ(c₁ | m2), and ƒ(c₁ | m3). Does this cryptosystem have perfect secrecy?
Transcribed Image Text:5.45. Consider the cipher that has three keys, three plaintexts, and four ciphertexts that are combined using the following encryption table (which is similar to Table 5.12 used in Example 5.54 on page 265). f(m₁) = f(m₂) Suppose further that the plaintexts and keys are used with the following probabili- ties: = k₁ k2 k3 2 m1 M2 M3 C2 C4 C1 C1 C3 C2 C3 C1 C2 f(m3) = = f(k1) = f(k₂) = f(k3) (c) Compute f(c2 | m₁) and ƒ(c3 | m₁). (d) Compute f(k₁ | c3) and ƒ(k2 | C3). = 13. (a) Compute f(c₁), f(c2), f(C3), and f(c4). (b) Compute f(c₁ | m₁), ƒ(c₁ | m2), and ƒ(c₁ | m3). Does this cryptosystem have perfect secrecy?
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