Two Kinds of Division Polynomials For Twisted Edwards Curves

Details Two Kinds of Division Polynomials For Twisted Edwards Curves Two Kinds of Division Polynomials For Twisted Edwards Curves

2009-07-24

arxiv.org/abs/0907.4347v1

Mathematics

Algebraic Geometry

Scientific paper

This paper presents two kinds of division polynomials for twisted Edwards
curves. Their chief property is that they characterise the $n$-torsion points
of a given twisted Edwards curve. We also present results concerning the
coefficients of these polynomials, which may aid computation.

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