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Let E : {0, 1}λ × {0, 1}b → {0,1}b be a block cipher. Assume λ = b. Consider thefollowing compression function:f(x, y) = E(x, x ⊕ y) ⊕ ...

Question

Let E : {0, 1}λ × {0, 1}b → {0,1}b be a block cipher. Assume λ = b. Consider thefollowing compression function:f(x, y) = E(x, x ⊕ y) ⊕ x .Is f collision-resistant? For your answer either provide a proofthat it is indeed collision-resistant or find a collision.

Let E : {0, 1}λ × {0, 1}b → {0, 1}b be a block cipher. Assume λ = b. Consider the following compression function: f(x, y) = E(x, x ⊕ y) ⊕ x . Is f collision-resistant? For your answer either provide a proof that it is indeed collision-resistant or find a collision.



Answers

Four bits are transmitted over a digital communications channel. Each bit is either distorted or received without distortion. Let $A i$ denote the event that the ith bit is distorted, $i=1, \ldots .4$ (a) Describe the sample space for this experiment. (b) Are the $A$ 's mutually exclusive? Describe the outcomes in each of the following events: (c) $A_{1}$ (d) $A_{1}^{\prime}$ (e) $A_{1} \cap A_{2} \cap A_{3} \cap A_{4}$ (f) $\left(A_{1} \cap A_{2}\right) \cup\left(A_{3} \cap A_{4}\right)$

This question requires to find expected the new new X and new wife. And for this function, new eggs or it start ways Mu. Why? So let's say knew. Why will be integration from our limit 0 to 1 X and our dynasty X close. Roy, the eggs do Roy should be equal from 0 to 1 on over three. Plus why was too do you want? And it will be equal to seven over Start and you two cemetery So m X should be equal toe m y equal to seven over. Thank you.


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