2003Unpublished venueRequires access

An Application of Elliptic Curve Cryptography in Smart Card

Jing Zhang

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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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What this paper is about

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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Available 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 .

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

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