Division polynomials

Known as: Division polynomial 
In mathematics the division polynomials provide a way to calculate multiples of points on elliptic curves and to study the fields generated by… (More)
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Topic mentions per year

Topic mentions per year

2000-2017
012320002017

Papers overview

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2017
2017
Scalar multiplication is the most important and expensive operation in elliptic curve cryptosystems. In this study, the authors… (More)
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2015
2015
Scalar multiplication is the most important and expensive operation in elliptic curve cryptosystems. In this paper we improve the… (More)
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2012
2012
Assuming Lang’s conjectured lower bound on the heights of non-torsion points on an elliptic curve, we show that there exists an… (More)
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2011
2011
This paper presents two kinds of division polynomials for twisted Edwards curves. Their chief property is that they characterise… (More)
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2011
2011
In this paper we find division polynomials for Jacobi quartics. These curves are an alternate model for elliptic curves to the… (More)
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2011
2011
We obtain nontrivial estimates of quadratic character sums of division polynomials Ψn(P ), n = 1, 2, . . ., evaluated at a given… (More)
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2008
2008
This paper presents division polynomials for twisted Edwards curves. Their chief property is that they characterise the n-torsion… (More)
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2006
2006
In [2], Verdure gives the factorisation patterns of division polynomials of elliptic curves defined over a finite field. However… (More)
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2004
2004
For a fixed rational point P ∈ E(K) on an elliptic curve, we consider the sequence of values ( 
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