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For the SPN discussed in the class notes slides, consider the linear trail with three active S-boxes and with the input sum and output sum pairs (c, 2), (2, 2), and (2, a) respectively. Find the total bias for this trail.

a. Bias of the linear trail

b. Number of active S-boxes

c. Input sum pair

d. Output sum pair

User Rovin
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Final answer:

To find the total bias for a linear trail with three active S-boxes, calculate the bias for each S-box and sum them up. The number of active S-boxes is three. The input sum pairs are (c, 2), (2, 2), and (2, a).

Step-by-step explanation:

a. Bias of the linear trail: To find the total bias for this linear trail, we need to calculate the bias for each active S-box and then add them up. The bias of an S-box represents the difference between the probability of the input sum and the probability of the output sum. In this case, we have three active S-boxes: S2, S4, and S6. Assuming the input sum pairs are (c, 2), (2, 2), and (2, a), we can calculate the bias for each S-box and sum them up.

b. Number of active S-boxes: As mentioned before, there are three active S-boxes: S2, S4, and S6.

c. Input sum pair: The input sum pairs are (c, 2), (2, 2), and (2, a).

d. Output sum pair: Since it is not mentioned explicitly, we don't have enough information to determine the output sum pair for this linear trail.

User The Angry Saxon
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