Course Solutions Uncategorized (Solved) : Let E D Ae Secure Cipher Remember Ae Authenticated Encryption Show Following Derived Ciph Q28150054 . . . .

(Solved) : Let E D Ae Secure Cipher Remember Ae Authenticated Encryption Show Following Derived Ciph Q28150054 . . . .

 

Let (E,D) be an AE-secure cipher (remember that AE =authenticated encryption).

Show that the following derived cipher is not AE-secure where kis the key:

D(k,c if D(k,c) D(k,ca) reject otherwise

Hints: Remember that AE-security implies chosen-ciphertextsecurity. Also, note that the encryption algorithm ā€œEā€ isprobabilistic, and therefore each computation of ā€œE(k,m)ā€ (as inthe above scheme) results in a different ciphertext (withoverwhelming probability), and therefore we have c1 ? c2 withoverwhelming probability.

D(k,c if D(k,c) D(k,ca) reject otherwise Show transcribed image text

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