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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…
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Related topics
Related topics
2 relations
Schoof's algorithm
Schoof–Elkies–Atkin algorithm
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Algorithmes pour la factorisation d'entiers et le calcul de logarithme discret. (Algorithms for integer factorization and discrete logarithms computation)
C. Bouvier
2015
Corpus ID: 5880926
Dans cette these, nous etudions les problemes de la factorisation d'entier et de calcul de logarithme discret dans les corps…
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2014
2014
Division polynomials with Galois group SU3(3).2 = G2(2)
D. Roberts
2014
Corpus ID: 119284476
We use a rigidity argument to prove the existence of two related degree 28 covers of the projective plane with Galois group \(SU_…
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2013
2013
Homogeneous division polynomials for Weierstrass elliptic curves
Jinbi Jin
2013
Corpus ID: 119740735
Starting from the classical division polynomials we construct homogeneous polynomials $\alpha_n$, $\beta_n$, $\gamma_n$ such that…
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2011
2011
Division polynomials for Jacobi quartic curves
Dustin Moody
International Symposium on Symbolic and Algebraic…
2011
Corpus ID: 5885441
In this paper we find division polynomials for Jacobi quartics. These curves are an alternate model for elliptic curves to the…
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2010
2010
Mean value formulas for twisted Edwards curves
Dustin Moody
IACR Cryptology ePrint Archive
2010
Corpus ID: 214363
R. Feng, and H. Wu recently established a certain mean-value formula for the x-coordinates of the n-division points on an…
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2010
2010
Divison Polynomials for Alternate Models of Elliptic Curves
Dustin Moody
IACR Cryptology ePrint Archive
2010
Corpus ID: 34469944
In this paper we find division polynomials for Huff curves, Jacobi quartics, and Jacobi intersections. These curves are alternate…
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2010
2010
Mean value formulas for twisted Edwards curves MEAN VALUE FORMULAS FOR TWISTED EDWARDS CURVES
Dustin Moody
2010
Corpus ID: 59288917
R. Feng and H. Wu recently established a certain mean-value formula for the coor dinates of the n-division points on an elliptic…
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2006
2006
Determined Sequences, Continued Fractions, and Hyperelliptic Curves
A. Poorten
International Workshop on Ant Colony Optimization…
2006
Corpus ID: 6059144
In this report I sanitise (in the sense of ‘bring some sanity to’) the arguments of earlier reports detailing the correspondence…
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2006
2006
ELLIPTIC CURVE FACTORING METHOD VIA FFTS WITH DIVISION POLYNOMIALS
Zhihong Li
2006
Corpus ID: 122731656
Li, Zhihong. Ph.D., Purdue University, December, 2006. Elliptic Curve Factoring Method via FFTs with Division Polynomials. Major…
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2005
2005
Addendum to “p-adic properties of division polynomials and elliptic divisibility sequences”
J. Silverman
2005
Corpus ID: 13546839
After the (online) publication of [4], the author became aware of a significant overlap of results, although not of methodology…
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