Bob wants to send Alice the message, "JAW," which he plans to encrypt using Alice's RSA cypher with public key (pq, e) = (55, 3). To encrypt the message, Bob uses the method described in Example 8.4.9. He encodes one letter at a time using A = 01, 8 = 02, C = 03,..., Z = 26. Next, he applies the encrypting formula C = MⓇ mod pq, where M is a plaintext letter and C is a block f ciphertext. Because 55 is a two-digit integer, each block of ciphertext is a two-digit integer with 0, 1, 2..., 9 represented as 01, 02, 03,..., 09. (Enter your answers using a fixed number of digits: 01 for 1, 02 for 2,..., 09 for 9, 10, 11, etc.) 3 mod 55 = (a) When the first letter of the message is encoded, the result is Bob then applies the encrypting formula find that the first two-digit block of the encrypted message is 3 mod 55 = (b) The second two-digit block of Bob's encrypted message is [ (c) What is the fully encrypted message that Alice receives? (Enter the message as a sequence of integer doubles separated by a single space, where each double is written using a fixed number of digits: 01 for 1, 02 for 2,...,09 for 9, 10, 11, etc.)
Bob wants to send Alice the message, "JAW," which he plans to encrypt using Alice's RSA cypher with public key (pq, e) = (55, 3). To encrypt the message, Bob uses the method described in Example 8.4.9. He encodes one letter at a time using A = 01, 8 = 02, C = 03,..., Z = 26. Next, he applies the encrypting formula C = MⓇ mod pq, where M is a plaintext letter and C is a block f ciphertext. Because 55 is a two-digit integer, each block of ciphertext is a two-digit integer with 0, 1, 2..., 9 represented as 01, 02, 03,..., 09. (Enter your answers using a fixed number of digits: 01 for 1, 02 for 2,..., 09 for 9, 10, 11, etc.) 3 mod 55 = (a) When the first letter of the message is encoded, the result is Bob then applies the encrypting formula find that the first two-digit block of the encrypted message is 3 mod 55 = (b) The second two-digit block of Bob's encrypted message is [ (c) What is the fully encrypted message that Alice receives? (Enter the message as a sequence of integer doubles separated by a single space, where each double is written using a fixed number of digits: 01 for 1, 02 for 2,...,09 for 9, 10, 11, etc.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Bob wants to send Alice the message, "JAW," which he plans to encrypt using Alice's RSA cypher with public key (pq, e) = (55, 3). To encrypt the message, Bob uses the method described in Example 8.4.9. He encodes one letter at a time using
A = 01, 8 = 02, C = 03, ..., Z = 26. Next, he applies the encrypting formula
C = M² mod pq,
where M is a plaintext letter and C is a block of ciphertext. Because 55 is a two-digit integer, each block of ciphertext is a two-digit integer with 0, 1, 2 ..., 9 represented as 01, 02, 03,..., 09. (Enter your answers using a fixed number of digits:
01 for 1, 02 for 2, ..., 09 for 9, 10, 11, etc.)
3 mod 55 =
(a) When the first letter of the message is encoded, the result is
Bob then applies the encrypting formula to find that the first two-digit block of the encrypted message is
3 mod 55 =
(b) The second two-digit block of Bob's encrypted message is
(c) What is the fully encrypted message that Alice receives? (Enter the message as a sequence of integer doubles separated by a single space, where each double is written using a fixed number of digits: 01 for 1, 02 for 2, ..., 09 for 9, 10, 11, etc.)
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