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Isogony-Based Cryptography Is Not Just Isomalty, It's Complex.
Isogony-based cryptography tends to have very small public data. The downside is it's got like quaternionalgebras and other complex stuff. It might be small and it might get faster, but it might be an unattractive implementation target for people just trying to deploy the software. But signatures don't matter in the sense that they don't matter until there actually is a quantum computer.