Hash functions from superspecial genus-2 curves using Richelot isogenies

DOI10.1515/jmc-2019-0021zbMath1462.14047arXiv1903.06451OpenAlexW3029088028MaRDI QIDQ2023308

Yanyan Li

Publication date: 3 May 2021

Published in: Journal of Mathematical Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06451

zbMATH Keywords

isogenyhash functiongenus 2 curvesRichelot isogeniessupersingular and superspecial isogeny graphs

Mathematics Subject Classification ID

Cryptography (94A60) Abelian varieties of dimension (> 1) (11G10) Isogeny (14K02) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (9)

Multiradical isogenies ⋮ Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph ⋮ Computing representation matrices for the action of Frobenius on cohomology groups ⋮ The Supersingular Isogeny Problem in Genus 2 and Beyond ⋮ Breaking the decisional Diffie-Hellman problem for class group actions using genus theory: extended version ⋮ Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing \(\mathbf{C}_6\) ⋮ Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group \(V_4\) ⋮ Efficient computation of \((3^n,3^n)\)-isogenies ⋮ Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3

Uses Software

• SeaSign
• CSI-FiSh

Cites Work

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• Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
• Cryptographic hash functions from expander graphs
• Claw finding algorithms using quantum walk
• Moduli of supersingular abelian varieties
• Supersingular isogeny graphs and endomorphism rings: reductions and solutions
• Towards practical key exchange from ordinary isogeny graphs
• CSIDH: an efficient post-quantum commutative group action
• Constructing distinct curves with isomorphic Jacobians
• Quantum cryptanalysis in the RAM model: claw-finding attacks on SIKE
• CSI-FiSh: efficient isogeny based signatures through class group computations
• Verifiable delay functions from supersingular isogenies and pairings
• SeaSign: compact isogeny signatures from class group actions
• Faster SeaSign signatures through improved rejection sampling
• Genus two isogeny cryptography
• On the quaternion -isogeny path problem
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• The number of curves of genus two with elliptic differentials.
• The Arithmetic of Genus Two Curves with (4,4)-Split Jacobians
• The Arithmetic of Elliptic Curves
• Large torsion subgroups of split Jacobians of curves of genus two or three
• AN ALGORITHM FOR COMPUTING A SEQUENCE OF RICHELOT ISOGENIES

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