Elliptic Curves over Finite Fields

B. Sury

doi:10.1007/978-93-86279-15-6_3

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Elliptic Curves over Finite Fields

B. Sury

Year: 2003 Hindustan Book Agency Pages: 33-47

DOI: 10.1007/978-93-86279-15-6_3

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Abstract

Jacobi was the first person to suggest (in 1835) using the group law on a cubic curve E. The chord-tangent method does give rise to a group law if a point is fixed as the zero element. This can be done over any field over which there is a rational point.

Keywords:

Chord (peer-to-peer) Tangent Mathematics Elliptic curve Point (geometry) Mathematical analysis Group (periodic table) Edwards curve Finite element method Pure mathematics Geometry Schoof's algorithm Physics Computer science Quarter period

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Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

Cryptography and Residue Arithmetic

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Elliptic Curves over Finite Fields

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