"It is rather hard to build an odd permutation from small operations(32-bit operations?)"
why?
https://crypto.stackexchange.com/questions/84431/parity-attack-on-block-cipher
https://crypto.stackexchange.com/questions/15612/block-cipher-and-parity-of-permutation
CleverLibre Social is an inclusive social instance for open discussion, learning, and community. All cultures welcome. Hate speech and harassment strictly forbidden.
https://crypto.stackexchange.com/questions/84431/parity-attack-on-block-cipher
https://crypto.stackexchange.com/questions/15612/block-cipher-and-parity-of-permutation