The Security of Elliptic Curve Cryptosystems - A Survey

Abstract

Elliptic curve cryptography or ECC is a public-key cryptosystem. This paper introduces ECC and describes its present applications. A mathematical background is given initially. Then its2019; major cryptographic uses are given. These include its2019; use in encryption, key sharing and digital signatures. The security of these ECC-based cryptosystems are discussed. It was found that ECC was well suited for low-power and resource constrained devices because of its2019; small key size

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