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(Secure PAF), tet X=(0,1), Consiber the following Pseudo Handom Permutation (PRP). xxx, Let key spoce: K=(0,1) and input Space x={0,1]. The Pf is defined as:

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(Secure PAF), tet X=(0,1), Consiber the following Pseudo Handom Permutation (PRP). xxx, Let key spoce: K=(0,1) and input Space x={0,1]. The Pf is defined as: E(k,x)=xkxX,kK Prove that it is not a secure Pyeuso Random function (FPA). Proot: Let Fuint (X,X) be the set of al the mapping functions from set x to set x contruct two eperiments Exe(0) and ExF(1) as follow: 4) Compite Pr [ExP(0)=1][5 pts and Pr [EXP(1)=1][5pts] b) Compute the adrantags Advtar[A,E] to vee whethee it is reseg ble ee nan ncglig ble. [5pr] (Secure PAF), tet X=(0,1), Consiber the following Pseudo Handom Permutation (PRP). xxx, Let key spoce: K=(0,1) and input Space x={0,1]. The Pf is defined as: E(k,x)=xkxX,kK Prove that it is not a secure Pyeuso Random function (FPA). Proot: Let Fuint (X,X) be the set of al the mapping functions from set x to set x contruct two eperiments Exe(0) and ExF(1) as follow: 4) Compite Pr [ExP(0)=1][5 pts and Pr [EXP(1)=1][5pts] b) Compute the adrantags Advtar[A,E] to vee whethee it is reseg ble ee nan ncglig ble. [5pr]

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