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The point of the IV is to prevent the same (key,IV) from ever being used for two different messages in practice. This is an absolute requirement for stream ciphers or block cipher modes such as CTR that are effectively stream ciphers, because re-using the same (key,IV) pair lets an eavesdropper trivially obtain the XOR of two plaintext messages, which means ...


The synthesized IV does not need to be random. AES-SIV is a deterministic authenticated encryption mode: it can be used without any nonce when it is not a concern if the attacker can tell that the same message is being transmitted (under the same key) multiple times. Privacy and authentication are still guaranteed. SIV recommends to use a nonce (more ...

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