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If we are talking about symmetric encryption, the PAGES block cipher based on Speck support key size 1024 bits and PAGES+/PAGES— variants support key sizes up to 2048 bits. However, I have not seen any independent cryptanalysis of these, so I can't recommend them. If we talk about the ciphers which have some cryptanalysis available, the Kalyna block cipher ...


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Nope. Besides old RC4, you can use RSA directly as your cipher at arbitrarily large bitness. We normally don't because its too slow.



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