For reasons, that will become clear, the version of RSA encryption covered in the lecture is called "naive RSA" in [Sma16]. In practice, it is recommended that RSA be used with some sort of message padding. A standard way is using optimal asymmetric encryption padding (OAEP), as indicated in the lecture. In this question, we will cover a simpler version, which at least makes the scheme semantically secure under chosen plaintext attacks. The CEO of the organization XYZ decides to hold a vote to decide whether employees should be allowed to work from home (WFH) all five days of the work week. All 5 employees of XYZ (excluding the CEO), need to vote either "WFH yes" or "WFH no." To ensure privacy, the CEO asks employees to send their votes by emailing them to the CEO. Furthermore, the CEO tells them to encrypt their votes using her RSA public key e. The messages are encoded as: WFH yes 7→ 100,

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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How would I find out Ellen's vote using the RSA public key and the information in the picture? 

 

For reasons, that will become clear, the version of RSA encryption covered in the lecture is called "naive
RSA" in [Sma16]. In practice, it is recommended that RSA be used with some sort of message padding. A
standard way is using optimal asymmetric encryption padding (OAEP), as indicated in the lecture. In this
question, we will cover a simpler version, which at least makes the scheme semantically secure under
chosen plaintext attacks.
The CEO of the organization XYZ decides to hold a vote to decide whether employees should be allowed to
work from home (WFH) all five days of the work week. All 5 employees of XYZ (excluding the CEO), need
to vote either "WFH yes" or "WFH no." To ensure privacy, the CEO asks employees to send their votes by
emailing them to the CEO. Furthermore, the CEO tells them to encrypt their votes using her RSA public key
e. The messages are encoded as:
WFH yes 7→ 100,
WFH no 7→ 200.
The CEO recieves the sequence of ciphertexts:
C1,C2,C3,C4,C5
where c; is the ciphertext from employee į. For completeness, assume the employees are in the order:
Alice Bob Charlie Dave Ellen
So, e.g., Bob's ciphertext is c2.
a.
Suppose the CEO's RSA public key is (№e) = (157439,5). What is Ellen's vote? How did you come
to this conclusion? Your answer should not involve any decryption.
Transcribed Image Text:For reasons, that will become clear, the version of RSA encryption covered in the lecture is called "naive RSA" in [Sma16]. In practice, it is recommended that RSA be used with some sort of message padding. A standard way is using optimal asymmetric encryption padding (OAEP), as indicated in the lecture. In this question, we will cover a simpler version, which at least makes the scheme semantically secure under chosen plaintext attacks. The CEO of the organization XYZ decides to hold a vote to decide whether employees should be allowed to work from home (WFH) all five days of the work week. All 5 employees of XYZ (excluding the CEO), need to vote either "WFH yes" or "WFH no." To ensure privacy, the CEO asks employees to send their votes by emailing them to the CEO. Furthermore, the CEO tells them to encrypt their votes using her RSA public key e. The messages are encoded as: WFH yes 7→ 100, WFH no 7→ 200. The CEO recieves the sequence of ciphertexts: C1,C2,C3,C4,C5 where c; is the ciphertext from employee į. For completeness, assume the employees are in the order: Alice Bob Charlie Dave Ellen So, e.g., Bob's ciphertext is c2. a. Suppose the CEO's RSA public key is (№e) = (157439,5). What is Ellen's vote? How did you come to this conclusion? Your answer should not involve any decryption.
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