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An asymmetric cipher is an encryption scheme using a pair of keys, one to encrypt and a second to decrypt a message. This way the encrypting key need not be kept secret to ensure a private communication. Similarly in public key authentication, the verification key can be public and the signing key private.

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Security of semantically secure ciphers when the attacker knows the relation between plaintexts

This question is about the security of public-key ciphers when related plaintexts are encrypted by the same encryption key. Take Paillier for example. I know that Paillier is semantically secure under …
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