Topic In Elliptic Curves Over Finite Fields: The Groups of Points

2011/03/22 by N. A. Carella, Carella, N. A.
Computer Science · #10G05 #14K22 #Coding theory and cryptography #Cryptographic Implementations and Security #Cryptography and Residue Arithmetic #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.1103.4560

openalex publication_date 2011/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article is a short introduction to the theory of the groups of points of elliptic curves over finite fields. It is concerned with the elementary theory and practice of elliptic curves cryptography, the new generation of public key systems. The material and coverage are focused on the groups of points of elliptic curves and algebraic curves, but not exclusively.

Citations

• Elliptic curve cryptosystems

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