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Re:Too Much Crypto [pdf] by joveian on Tuesday December 31, 2019 @09:18PM (#21926222)
Kravatte (briefly mentioned in the paper), Keyak, and Ketje (all using the keccak permutation) do use fewer rounds than SHA-3, e.g. 12 in the case of Keyak.

The paper is describing what cryptographers have been doing the past 5ish years at least (see various CAESAR contest entries, the forms of Masked Even-Mansour that use 4 or 6 rounds of BLAKE2b permutation, etc.), but maybe encouraging them to push more in that direction.

http://eprint.iacr.org/2016/1188.pdf https://keccak.team/files/Keyakv2-doc2.2.pdf https://keccak.team/files/Ketjev2-doc2.0.pdf

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