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Answers for “椭圆曲线密码学使用什么困难问题?”

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Elliptic curve cryptography uses the discrete logarithm problem, which involves finding a scalar x such that X = xP given group elements X and P.

Conditions: X and P are elements of the group 𝔾.; x is the unknown scalar to be recovered.; The problem is treated as computationally infeasible when only X and P are known.

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Elliptic Curve Cryptography (ECC) is a type of public-key cryptosystem that uses the mathematics of an elliptic curve to create public and private keys.

Conditions: It is a type of public-key cryptosystem.; It uses elliptic-curve mathematics to create key pairs.