Exercise 1 (The RSA basics (. Alice forms a public key for the "textbook" RSA public-key encryption and signature schemes, choosing N= 1073 and e = 715. 1. Encrypt the message M = 3 for Alice. 2. What is Alice's private key, and how does she use it for decrypting the received ciphertext? 3. Generate a signature on the message M=1234567 using the following simple hash function H: {0,1}→ Zy such that H(M)= 3M+5 (mod N). 4. Verify that the signature you generated in the previous step is a valid signature.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Exercise 1 (The RSA basics (
Alice forms a public key for the "textbook" RSA public-key encryption and signature schemes,
choosing N = 1073 and e = 715.
1. Encrypt the message M = 3 for Alice.
2. What is Alice's private key, and how does she use it for decrypting the received ciphertext?
3. Generate a signature on the message M = 1234567 using the following simple hash function
H: {0, 1} ZN such that H(M)= 3M + 5 (mod N).
4. Verify that the signature you generated in the previous step is a valid signature.
Transcribed Image Text:Exercise 1 (The RSA basics ( Alice forms a public key for the "textbook" RSA public-key encryption and signature schemes, choosing N = 1073 and e = 715. 1. Encrypt the message M = 3 for Alice. 2. What is Alice's private key, and how does she use it for decrypting the received ciphertext? 3. Generate a signature on the message M = 1234567 using the following simple hash function H: {0, 1} ZN such that H(M)= 3M + 5 (mod N). 4. Verify that the signature you generated in the previous step is a valid signature.
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