Séta: Supersingular Encryption from Torsion Attacks

DOI10.1007/978-3-030-92068-5_9zbMath1514.94073OpenAlexW4200380216MaRDI QIDQ6041286

Javier Silva, Péter Kutas, Luca De Feo, Tako Boris Fouotsa, Cyprien Delpech De Saint Guilhem, Christophe Petit, Benjamin Wesolowski, Antonin Leroux

Publication date: 26 May 2023

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-92068-5_9

zbMATH Keywords

IND-CCA variantpost-quantum OAEP transformationtorsion attacks

Mathematics Subject Classification ID

Cryptography (94A60)

Related Items (11)

Orientations and the supersingular endomorphism ring problem ⋮ Supersingular curves you can trust ⋮ SCALLOP: scaling the CSI-FiSh ⋮ An efficient key recovery attack on SIDH ⋮ A direct key recovery attack on SIDH ⋮ Breaking SIDH in polynomial time ⋮ New algorithms for the Deuring correspondence. Towards practical and secure SQISign signatures ⋮ Orienteering with one endomorphism ⋮ A new isogeny representation and applications to cryptography ⋮ On the feasibility of computing constructive Deuring correspondence ⋮ On the decisional Diffie-Hellman problem for class group actions on oriented elliptic curves

Cites Work

• Unnamed Item
• Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves
• Supersingular j-invariants as singular moduli mod p
• Expander graphs based on GRH with an application to elliptic curve cryptography
• Cryptographic hash functions from expander graphs
• Supersingular isogeny graphs and endomorphism rings: reductions and solutions
• Faster algorithms for isogeny problems using torsion point images
• CSIDH: an efficient post-quantum commutative group action
• Orienting supersingular isogeny graphs
• He gives C-sieves on the CSIDH
• Quantum security analysis of CSIDH
• SQISign: compact post-quantum signatures from quaternions and isogenies
• SiGamal: a supersingular isogeny-based PKE and its application to a PRF
• 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
• Post-Quantum Security of the Fujisaki-Okamoto and OAEP Transforms
• NON-BACKTRACKING RANDOM WALKS MIX FASTER
• The Uber-Assumption Family
• The Arithmetic of Elliptic Curves
• Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms
• Supersingular curves with small noninteger endomorphisms
• Faster computation of isogenies of large prime degree
• Identification protocols and signature schemes based on supersingular isogeny problems

This page was built for publication: Séta: Supersingular Encryption from Torsion Attacks