Division polynomials for twisted Edwards curves

Mathematics – Algebraic Geometry

Scientific paper

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18 pages, added justification for unique representations of general rational functions in function field of twisted Edwards cu

Scientific paper

This paper presents 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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