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Elliptic curves cryptosystems and it's application in smart card

Aixia Guo

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Abstract

Recently,elliptic curves cryptosystems have broad application in security and efficiency,and elliptic curves cryptosystems have become a focus of research.Elliptic curves,elliptic curves cryptosystems and the cryptosystems application in smart card were in-troduced.Some methods of construction of security elliptic curves were introduced and gives the implementation of construction of se-curity elliptic curves over finite field with characteristic 2 was given.

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What this paper is about

Recently,elliptic curves cryptosystems have broad application in security and efficiency,and elliptic curves cryptosystems have become a focus of research.Elliptic curves,elliptic curves cryptosystems and the cryptosystems application in smart card were in-troduced.Some methods of construction of security elliptic curves were introduced and gives the implementation of construction of se-curity elliptic curves over finite field with characteristic 2 was given.

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Available abstract

Recently,elliptic curves cryptosystems have broad application in security and efficiency,and elliptic curves cryptosystems have become a focus of research.Elliptic curves,elliptic curves cryptosystems and the cryptosystems application in smart card were in-troduced.Some methods of construction of security elliptic curves were introduced and gives the implementation of construction of se-curity elliptic curves over finite field with characteristic 2 was given.

Key concepts: Elliptic curve cryptography, Elliptic Curve Digital Signature Algorithm, Elliptic curve, Computer science, Curve25519, Elliptic curve point multiplication, Cryptosystem, Focus (optics)

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