Question: We consider a double encryption of a private-key algorithm in order to increase the security such that: y = e2(el (M)). Assume the following

We consider a double encryption of a private-key algorithm in order to increase the security such that: y =

We consider a double encryption of a private-key algorithm in order to increase the security such that: y = e2(el (M)). Assume the following two ciphers are given: el(x) = al.x + bl e2(z) =a2.z + b2 where x and z represent the input messages, al, a2, b1 and b2 are the coefficients. Show that there is a single cipher e3(M) : a3.M+ b3 which performs exactly the same encryption (and decryption) as the combination e2(e1(M)).

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