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2018•SSRN Electronic JournalOpen access

A Review on Elliptic Curve Cryptography

Sujith Narayan

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Abstract

Cryptography method depends upon complex mathematical problems like prime number factorization and elliptic curve discrete logarithm problem. Elliptic curve point multiplication is a method of adding a point to an elliptic curve on a continuous manner. It is used in Elliptic Curve Cryptography (ECC) to produce a trapdoor function. This paper presents detailed overview of the elliptic curve cryptography techniques. The limitation of the each paper was studied well to focus better on the proposed secret image sharing schemes.

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What this paper is about

Cryptography method depends upon complex mathematical problems like prime number factorization and elliptic curve discrete logarithm problem. Elliptic curve point multiplication is a method of adding a point to an elliptic curve on a continuous manner. It is used in Elliptic Curve Cryptography (ECC) to produce a trapdoor function. This paper presents detailed overview of the elliptic curve cryptography techniques. The limitation of the each paper was studied well to focus better on the proposed secret image sharing schemes.

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Available abstract

Cryptography method depends upon complex mathematical problems like prime number factorization and elliptic curve discrete logarithm problem. Elliptic curve point multiplication is a method of adding a point to an elliptic curve on a continuous manner. It is used in Elliptic Curve Cryptography (ECC) to produce a trapdoor function. This paper presents detailed overview of the elliptic curve cryptography techniques. The limitation of the each paper was studied well to focus better on the proposed secret image sharing schemes.

Key concepts: Elliptic curve cryptography, Counting points on elliptic curves, Elliptic curve point multiplication, Hessian form of an elliptic curve, Tripling-oriented Doche–Icart–Kohel curve, Elliptic Curve Digital Signature Algorithm, Hyperelliptic curve cryptography, Elliptic curve

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