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I am about to create a vector of size n, with zero and ones. I want to encrypt all the elements of the vector, but I am wondering if encryption of the elements reveals information about the zero and ones. Is there any specific cryptosystem at which when I encrypt the zero and 1s they are not distinguishable in their ciphertext form?

user3126804
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  • What programming language? –  Jan 27 '20 at 16:42
  • C, C++ or python. Does this matter or only the type of cryptosystem matter? – user3126804 Jan 27 '20 at 16:43
  • All vectors are 0s and ones. In computers, everything is binary. What do you mean? –  Jan 27 '20 at 16:44
  • I am sending a vector of size n which the elements of the vector are zero and one. I want to send the Enc(0) and Enc(1) over the network, but I am looking for a cryptosystem that when I am encrypting the zeros and ones, the pattern zeros and ones be indistinguishable. – user3126804 Jan 27 '20 at 16:54
  • You're not asking a simple question here. Encryption is a very complex subject. Can you be more specific as to what you're trying to accomplish? – JP Alioto Jan 27 '20 at 16:54
  • I am trying to encrypt a vector of length n, with 0s and only one element 1 at a specific index of the vector(i). I want to encrypt the 0s and the 1, so no one can see the plaintext and also I want to be sure if the cryptosystem works like the encryption of the zeros and encryption of 1 does not reveal any information about the elements so no one knows there is 1 at index i and 0 at other places. My concern is more about the indistinguishability of the ciphertexts. – user3126804 Jan 27 '20 at 17:14

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I think I found the answer. If we are encrypting the elements of the vector using encryption algorithms like RSA/padding, we can get different outputs for the same plaintext. So, we can encrypt the elements of the vector with these kinds of algorithms and get different results, so the ciphertext is indistinguishable each time.

user3126804
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