The idea of homomorphic encryption is even though the data is encrypted, the structural property of the underlying data is actually intact. So when you apply a function on the encrypted data, this function translates into the unencrypted realm after you've done the decryption. Think of it like a language: If I speak to you in English, I'm using syntax using grammar and you're using that to understand what I'm saying. It's kind of the same thing with homomorphic encryption. You're just changing the language in which you're speaking the data,. But you're not changing the syntax and grammar and everything else around it.

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