## Question

###### Let E : {0, 1}Î» Ã— {0, 1}b â†’ {0,1}b be a block cipher. Assume Î» = b. Consider thefollowing compression function:f(x, y) = E(x, x âŠ• y) âŠ• 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}Î» Ã— {0, 1}b â†’ {0, 1}b be a block cipher. Assume Î» = b. Consider the following compression function: f(x, y) = E(x, x âŠ• y) âŠ• x . Is f collision-resistant? For your answer either provide a proof that it is indeed collision-resistant or find a collision.

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