The Group Law on Elliptic Curves on Hesse form

Hege Reithe Frium
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Hege Reithe Frium: HQDC Norway

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 123-151 from Springer

Abstract: Abstract In this paper I will give an introduction to elliptic curves on Hesse form. The embedding of these curves in the projective plane make their symmetries especially nice. If we pick a point p in the projective plane s.t. p is not a 3-torsion point, p is the parametrization of the curve that contains p. We will also see that the division polynomials are independent of chosen elliptic curve on Hesse form.

Keywords: Elliptic Curve; Elliptic Curf; Algebraic Curf; Singular Curve; Intersection Multiplicity (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59435-9_10

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DOI: 10.1007/978-3-642-59435-9_10

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