Computing modular polynomials by deformation
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Publication:6653364
DOI10.1007/S40993-024-00596-5MaRDI QIDQ6653364
Damien Robert, Sabrina Kunzweiler
Publication date: 16 December 2024
Published in: Research in Number Theory (Search for Journal in Brave)
Number-theoretic algorithms; complexity (11Y16) Abelian varieties of dimension (> 1) (11G10) Elliptic curves over local fields (11G07) Local deformation theory, Artin approximation, etc. (14B12)
Cites Work
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- An explicit height bound for the classical modular polynomial
- Grundzüge einer arithmetischen Theorie der algebraischen Grössen. (Festschrift zu Herrn Ernst Eduard Kummers fünfzigjährigem Doctor-Jubiläum, 10 September 1881)
- Computing parametric geometric resolutions
- Counting points on elliptic curves over finite fields
- Integer multiplication in time \(O(n\log n)\)
- Fast change of level and applications to isogenies
- Constructing supersingular elliptic curves
- Computing modular polynomials in quasi-linear time
- The number of curves of genus two with elliptic differentials.
- A quasi-linear time algorithm for computing modular polynomials in dimension 2
- Modular exponentiation via the explicit Chinese remainder theorem
- Deformation Theory
- Les Schémas de Modules de Courbes Elliptiques
- Modular polynomials via isogeny volcanoes
- Efficient Compression of SIDH Public Keys
- Faster computation of isogenies of large prime degree
- Multiradical isogenies
- An efficient key recovery attack on SIDH
- A direct key recovery attack on SIDH
- Breaking SIDH in polynomial time
- Certified Newton schemes for the evaluation of low-genus theta functions
- Efficient computation of \((2^n, 2^n)\)-isogenies
- \textsf{FESTA}: fast encryption from supersingular torsion attacks
- SQIsignHD: new dimensions in cryptography
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