Question: a) Use the figure to define the S-Box substitution table. X1 X2 X3 X4 Y1 Y2 Y3 Y4 0 0 0 0 1 0 0
a) Use the figure to define the S-Box substitution table.
| X1 | X2 | X3 | X4 | Y1 | Y2 | Y3 | Y4 |
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 |
| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 |
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 |
| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 |
| 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 |
| 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 |
| 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 |
| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 |
| 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 |
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 |
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 |
b) Find the probability bias and the Linear Approximation table value of the followings: (Define the expressions for each and show your steps)
- Input Sum = C and Output Sum = 6
- Input Sum = B and Output Sum = 9
- Input Sum = 5 and Output Sum = 7
c) Assume that we are analyzing a broadcast attack and we want to find the keyword that has been sent to several clients. The message is an integer number A" which gives a remainder of 2 when divided by 5, e remainder of 3 when divided by 7 and a reminder of 10 when divided by 11. Find the keyword A by describing your solution.
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