Computational problems in supersingular elliptic curve isogenies
type: Item
instance of: scholarly article
title: Computational problems in supersingular elliptic curve isogenies
zbMATH Open document ID: 1400.81083
author: Steven D. Galbraith
author: Frederik Vercauteren
published in: Quantum Information Processing
publication date: 2018-11-01T00:00:00Z
full work available at URL: https://lirias.kuleuven.be/handle/123456789/628094
Mathematics Subject Classification ID: 81P94
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 14G50
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 11Y16
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 6970617
zbMATH Keywords: post-quantum cryptography
zbMATH Keywords: elliptic curve isogeny
describes a project that uses: SIDH
MaRDI profile type: Publication
OpenAlex ID: W2889320120
cites work: Post-Quantum Cryptography
cites work: A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves
cites work: Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation
cites work: Computing the endomorphism ring of an ordinary elliptic curve over a finite field
cites work: A low-memory algorithm for finding short product representations in finite groups.
cites work: Constructing supersingular elliptic curves
cites work: Constructing elliptic curve isogenies in quantum subexponential time
cites work: Cryptographic hash functions from expander graphs
cites work: Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
cites work: Efficient Compression of SIDH Public Keys
cites work: Q4349106
cites work: Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
cites work: Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\)
cites work: Supersingular isogeny graphs and endomorphism rings: reductions and solutions
cites work: Constructing Isogenies between Elliptic Curves Over Finite Fields
cites work: Mathematics of public key cryptography.
cites work: Q4737234
cites work: On the Security of Supersingular Isogeny Cryptosystems
cites work: Identification protocols and signature schemes based on supersingular isogeny problems
cites work: Improved algorithm for the isogeny problem for ordinary elliptic curves
cites work: Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
cites work: Isogeny-Based Quantum-Resistant Undeniable Signatures
cites work: On the quaternion \(\ell\)-isogeny path problem
cites work: On Fast Calculation of Addition Chains for Isogeny-Based Cryptography
cites work: A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem
cites work: Faster algorithms for isogeny problems using torsion point images
cites work: Ramanujan graphs and Hecke operators
cites work: Q4213388
cites work: Quantum resource estimates for computing elliptic curve discrete logarithms
cites work: Q3710637
cites work: Q4004187
cites work: Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves
cites work: Isogeny volcanoes
cites work: Claw finding algorithms using quantum walk
cites work: Q5631239
cites work: Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms
cites work: Q5386130
cites work: Computing and Combinatorics
DOI: 10.1007/S11128-018-2023-6
description: scientific article; zbMATH DE number 6970617