The Supersingular Isogeny Problem in Genus 2 and Beyond
From MaRDI portal
Publication:5041219
DOI10.1007/978-3-030-44223-1_9zbMath1501.94037arXiv1912.00701OpenAlexW3004204488MaRDI QIDQ5041219
No author found.
Publication date: 13 October 2022
Published in: Post-Quantum Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.00701
Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Quantum cryptography (quantum-theoretic aspects) (81P94)
Related Items (5)
Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph ⋮ B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion ⋮ Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3 ⋮ Examples of abelian surfaces failing the local-global principle for isogenies ⋮ Counting Richelot isogenies between superspecial abelian surfaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Arithmetic on abelian and Kummer varieties
- Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem
- Cryptographic hash functions from expander graphs
- Claw finding algorithms using quantum walk
- Isogenies and the discrete logarithm problem in Jacobians of genus 3 hyperelliptic curves
- Parallel collision search with cryptanalytic applications
- Supersingular isogeny graphs and endomorphism rings: reductions and solutions
- Mathematical modelling for next-generation cryptography. CREST Crypto-Math project
- Faster algorithms for isogeny problems using torsion point images
- CSIDH: an efficient post-quantum commutative group action
- Computing supersingular isogenies on Kummer surfaces
- On the cost of computing isogenies between supersingular elliptic curves
- Hash functions from superspecial genus-2 curves using Richelot isogenies
- Quantum cryptanalysis in the RAM model: claw-finding attacks on SIKE
- Verifiable delay functions from supersingular isogenies and pairings
- SeaSign: compact isogeny signatures from class group actions
- Genus two isogeny cryptography
- On the quaternion -isogeny path problem
- A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves
- On the Security of Supersingular Isogeny Cryptosystems
- Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
- A double large prime variation for small genus hyperelliptic index calculus
- Expander graphs and their applications
- On supersingular curves and Abelian varieties.
- Ramanujan graphs and Hecke operators
- Identifying supersingular elliptic curves
- Algorithmic Number Theory
- Identification protocols and signature schemes based on supersingular isogeny problems
- Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\)
This page was built for publication: The Supersingular Isogeny Problem in Genus 2 and Beyond
