An Application of Elliptic Curve Cryptography in Smart Card
Jing Zhang
Abstract
Jing Zhang
Abstract
The mathematics theory of elliptic curve cryptography is introduced, and the performance of elliptic curve cryptography is parallel analysed. And the security curve of elliptic curve cryptography is given. Then the realization of arithmetic and flow which is used in discrimination of the Smart Card PIN by elliptic curve cryptography is introduced .
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The mathematics theory of elliptic curve cryptography is introduced, and the performance of elliptic curve cryptography is parallel analysed. And the security curve of elliptic curve cryptography is given. Then the realization of arithmetic and flow which is used in discrimination of the Smart Card PIN by elliptic curve cryptography is introduced .
Key concepts: Elliptic curve cryptography, Elliptic Curve Digital Signature Algorithm, Curve25519, Hessian form of an elliptic curve, Elliptic curve, Tripling-oriented Doche–Icart–Kohel curve, Elliptic curve point multiplication, Cryptography