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Cayley hashing as in "Navigating in the Cayley Graph of SL₂(𝔽ₚ)"

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I really need such a hashing function in my project. Is this safe to use? Can I help somehow in order to make it safe?

Right now there are some branches in the modular arithmetic; these give us ~2x speedup I think, but IIUC in general it's bad to have variable running times in crypto...

I've always wanted to use AFL to find bugs; maybe it will be helpful for this

e.g. ensure we're following all possible security best practices and rust ecosystem best practices.