5.9 ILl has been proposed to use double-DES as a ſixed-length collision-resistant hash function within the Merkle-Damgård transform, in thefollowing way. Define the hash function h : {0,1}112 .h(x1||r2) = DES=, (DES,(064)) where |¤1| = |x2| = 56.{0, 1}64 as%3D(a) Write down an actual collision in this fixed-length hash function.(b) In how much time is it possible to find a preimage for the hashfunction. That is, given some y e {0,1}64 show how to find apair (x1, x2) such that h(x1||x2) = y. Make your attack as quickas possible. Does your attack make it possible to find a preimagethat "makes sense" (say, one that contains an English word)?(c) What happens when h as above is used in the Merkle-Damgårdtransform? Find the most effective attack that you can think of.

k-space volume of a single state in k-space Vsingle-state=πa×πbVsingle-state=π2ab…

Answered: It has been proposed to use double-DES…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 17EQ

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