osen (uniformly) at random out of 1-7. P Even 1 2 3 4 5 6 7 1 2 0 1 0 1 0 1 0 3 4 5 6 Odd 1 0 1 0 1 P*T Even A 0 mod 3 0 0 0 0 ? ? 0 1 T 0 mod 3 1 0 2 0 3 1 4 0 5 6 7 10002 1 0 ? (0 mod 3) 1 1 0 Even A Odd A Odd A (0 mod 3) 0 mod 3 (0 mod 3) 0 0 1 1 0 1 ? ? 1000 1 1 0 1 ? ?
osen (uniformly) at random out of 1-7. P Even 1 2 3 4 5 6 7 1 2 0 1 0 1 0 1 0 3 4 5 6 Odd 1 0 1 0 1 P*T Even A 0 mod 3 0 0 0 0 ? ? 0 1 T 0 mod 3 1 0 2 0 3 1 4 0 5 6 7 10002 1 0 ? (0 mod 3) 1 1 0 Even A Odd A Odd A (0 mod 3) 0 mod 3 (0 mod 3) 0 0 1 1 0 1 ? ? 1000 1 1 0 1 ? ?
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...
Related questions
Question
(c) If the observation is Odd ∧ 0 mod 3, what values could the secret number be?
(d) What strategy would the adversary take if they were trying to guess
the exact value of the secret number?
(e) If the adversary follows that strategy, then what is the probability
that they will succeed?
(Hint: What is the joint probability associated with correlation ma-
trix P ∗ T?)
Transcribed Image Text:1. Intersection attacks
Recall the correlation matrices from lectures for sharing partial informa-
tion about a secret number. Below are the correlations tables for a number
chosen (uniformly) at random out of 1-7.
P
1
2
3
4
5
6
7
Even Odd
1
0
1
0
1
0
1
0
1
0
1
0
1
0
P*T
1
2
3
4
5
6
7
Even A
0 mod 3
0
0
0
0
?
?
?
T
1
2
3
4
5
6
7
Even A
(0 mod 3)
0
1
0
1
?
?
?
0 mod 3
0
0
1
0
0
1
0
Odd A
0 mod 3
0
0
1
0
?
?
?
(0 mod 3)
1
1
0
1
1
0
1
Odd A
(0 mod 3)
1
0
0
0
?
?
?
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