[Cryptography] Uses for novel or unusual kinds of cryptographic primitives
Pierre Abbat
phma at bezitopo.org
Fri Jul 11 19:22:20 EDT 2025
A friend of mine is trying to get me a grant for some ideas I have, including
two ciphers and a hash function. They are a whole-message cipher, a keyed
hash, and a self-synchronizing byte stream cipher. I'd like to include
possible uses in the grant application.
A whole-message cipher is like a block cipher, except that the block can be
arbitrarily long. The one I've invented is Wring, which I've mentioned here
before. Wring is an iterated product cipher with four steps, but one could
make a whole-message Feistel cipher with a 4×4 S-box for the odd nybble, or
other kinds. If you encrypt a 1 MB message with a 16 byte block cipher in CBC
mode, every bit of plaintext influences every block of ciphertext from there
on, but the last byte of plaintext has no influence on the first byte of
ciphertext. In a whole-message cipher, every byte of ciphertext depends on
every byte of plaintext. It can be used as an all-or-nothing transform. What
are some other uses of whole-message ciphers (besides, of course, encrypting)?
Twistree, which I've also mentioned here, is a keyed hash function. It's not a
construction in which the key is concatenated with the message and then
they're hashed together; rather, the key determines the S-boxes used in the
compression function. Is there any protocol in which keying like this is
important?
I've also invented a self-synchronizing byte stream cipher named Daphne. Most
stream ciphers I've heard of, including pre-computer ones like Enigma, are
synchronous ciphers: if a byte or letter gets corrupted in transmission, that
byte or letter, and no other, will be corrupt on decrypting, and if a byte or
letter is lost, the decryption produces garbage from then on. In a self-
synchronizing cipher, a byte or letter being corrupted or dropped from
ciphertext results in several or many bytes or letters being corrupted in the
plaintext, then the cipher recovers and produces correct plaintext. When would
this property be important?
Pierre
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