Answer by Daniel S for Public one-way bijection
How about this. Find an elliptic curve mod $p$, say $E:y^2=x^3+ax+b$ for some 256-bit prime $p$ such that the curve $E$ and its twist $E':dy^2=x^3+ax+b$ with $(\frac dp)_L=-1$ are both of prime order....
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What methods do we know to construct a function $f:D\to D$with domain $D=[0,n)\cap\mathbb N$ (thus $n\in\mathbb N$ elements);demonstrably surjective (thus bijective since $D$ is finite);with definition...
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