An ideal cipher for messages of length n bits is a permutation of sequences of 2 n n bits randomly selected in 2 n ! such permutations. A “key” is a description of which permutation was selected.
A secure block cipher should be indistinguishable from an ideal cipher, with n being the block size. For AES, n = 128 (i.e. 16 bytes). AES is assumed to be a secure block cipher.
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