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Cryptography

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  • $\begingroup$ In ECC we use elliptic curves, where by definition are non-singular. But you can use varieties in cryptography. For instance, you can use Jacobian varieties, because they form a group where dlog is hard. If it occurs non-singular curves to form a group, whee dlog is hard, then they will also used such curves. $\endgroup$ Commented Jan 25, 2017 at 0:29