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There is nothing special about using XOR for the one - time pad. We can get the same security properties using addition modn and multiplication
There is nothing special about using XOR for the onetime pad. We can get the same security
properties using addition modn and multiplication modn. Specifically, consider a variant of the one
time pad, in which keys, plaintexts, and ciphertexts are all elements of instead of where
consists of all integers between and and addition and multiplication are performed modulo
In what follows, define Gen to output
a For define Enc What is the decryption algorithm that
corresponds to this encryption algorithm? The decryption algorithm in your answer should ensure
correctness for the modified scheme.
b Prove that when using the encryption algorithm from part a the ciphertexts in the resulting
scheme are uniformly distributed in where the probability is over the choice of the key
c Suppose we instead defined Enc Show that the ciphertexts in the resulting
scheme are not necessarily uniformly distributed.
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