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I'm sure NSA can design a secure cryptosystem that does not require key material of the same length as plaintext.


but why bother? storage is so cheap nowadays, and one-time padding is as secure as your physical security detail.


Key management is hard. Keys need to be encrypted at all times and only duplicated when authorized. Generally people use dedicated secure storage hardware for this purpose. The more "key" you have lying around the harder it is to keep all of it secure.




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