Cycles in the Supersingular ℓ-Isogeny Graph and Corresponding Endomorphisms
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Publication:3296197
DOI10.1007/978-3-030-19478-9_2zbMath1436.11148arXiv1804.04063OpenAlexW2797140685MaRDI QIDQ3296197
Kirsten Eisenträger, Catalina Camacho-Navarro, Travis Morrison, Efrat Bank, Jennifer Park
Publication date: 7 July 2020
Published in: Association for Women in Mathematics Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.04063
Cryptography (94A60) Elliptic curves over global fields (11G05) Number-theoretic algorithms; complexity (11Y16) Elliptic curves (14H52) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
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Cites Work
- Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
- Cryptographic hash functions from expander graphs
- An algorithm for computing modular forms on \(\Gamma_0(N)\)
- Supersingular isogeny graphs and endomorphism rings: reductions and solutions
- Counting points on elliptic curves over finite fields
- Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
- Constructing supersingular elliptic curves with a given endomorphism ring
- On the quaternion -isogeny path problem
- A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves
- Isogeny volcanoes
- Fast algorithms for computing isogenies between elliptic curves
- The Arithmetic of Elliptic Curves
- Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
- Finite quaternionic matrix groups
- On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average
- Abelian varieties over finite fields
- Identification protocols and signature schemes based on supersingular isogeny problems
- Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\)
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