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Let F be a secure PRF defined over (K,X,Y), where K = X = Y = {0,1}n. Prove the following statements: . F1(k,x) = F(k.x)

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Let F be a secure PRF defined over (K,X,Y), where K = X = Y = {0,1}n. Prove the following statements: . F1(k,x) = F(k.x) 1 1 0 is not a secure PRF Falk,(x,y))-F(k,x)F(k,y) is not a secure PRF Falk,x) = F(kxl x is a secure PRF

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