Q1 If the observation is Even ∧ 0 mod 3, what values could the secret number be? Q2 If the observation is Odd ∧ 0 mod 3, what values could the secret number be?

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Q1 If the observation is Even ∧ 0 mod 3, what values could the secret
number be?
Q2 If the observation is Odd ∧ 0 mod 3, what values could the secret
number be? 

1
Exercises
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 Even
1
456234
7
1
2
3
4
5
0
1
6
7
0
1
0
1
0
P*T Even A
0 mod 3
0
0
Odd
1
0
1
0
1
0
1
0
0
?
?
?
0
1
0
1
?
T
1
?
?
456734
0 mod 3
0
0
1
0
0
1
0
?
7
(0 mod 3)
Even A
Odd A
Odd A
(0 mod 3) 0 mod 3 (0 mod 3)
0
1
0
0
1
0
0
0
?
?
?
?
1
1
0
1
1
0
1
Transcribed Image Text:1 Exercises 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 Even 1 456234 7 1 2 3 4 5 0 1 6 7 0 1 0 1 0 P*T Even A 0 mod 3 0 0 Odd 1 0 1 0 1 0 1 0 0 ? ? ? 0 1 0 1 ? T 1 ? ? 456734 0 mod 3 0 0 1 0 0 1 0 ? 7 (0 mod 3) Even A Odd A Odd A (0 mod 3) 0 mod 3 (0 mod 3) 0 1 0 0 1 0 0 0 ? ? ? ? 1 1 0 1 1 0 1
Expert Solution
Step 1

We need to find the value of the secret code, for the given scenario.

X ∧ Y, gives 1 only when both X=1 and Y=1. Otherwise, it gives 0.

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