Climbing and descending tall isogeny volcanos
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Publication:6653361
DOI10.1007/s40993-024-00586-7MaRDI QIDQ6653361
Publication date: 16 December 2024
Published in: Research in Number Theory (Search for Journal in Brave)
Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Complex multiplication and moduli of abelian varieties (11G15) Isogeny (14K02)
Cites Work
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- Improved algorithm for the isogeny problem for ordinary elliptic curves
- Explicit bounds for primes in arithmetic progressions
- Some results on computational complexity
- CSIDH: an efficient post-quantum commutative group action
- Counting points on elliptic curves over finite fields
- Improved torsion-point attacks on SIDH variants
- Elliptic curve cryptography: the serpentine course of a paradigm shift
- Computing the endomorphism ring of an ordinary elliptic curve over a finite field
- Fast change of level and applications to isogenies
- Isogeny volcanoes
- Computing Hilbert class polynomials with the Chinese remainder theorem
- The number of curves of genus two with elliptic differentials.
- The Arithmetic of Elliptic Curves
- Constructing Isogenies between Elliptic Curves Over Finite Fields
- Accelerating the CM method
- On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average
- Constructing elliptic curves over finite fields with prescribed torsion
- Modular polynomials via isogeny volcanoes
- Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log?
- Faster computation of isogenies of large prime degree
- An efficient key recovery attack on SIDH
- A direct key recovery attack on SIDH
- Breaking SIDH in polynomial time
- A new isogeny representation and applications to cryptography
- Weak instances of class group action based cryptography via self-pairings
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