Counting Richelot isogenies between superspecial abelian surfaces

DOI10.2140/obs.2020.4.283zbMath1456.14055arXiv2003.00633OpenAlexW3114334541MaRDI QIDQ5853803

Toshiyuki Katsura, Katsuyuki Takashima

Publication date: 11 March 2021

Published in: Open Book Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00633

zbMATH Keywords

Richelot isogeniessuperspecial abelian surfacesgenus-2 isogeny cryptographyreduced group of automorphisms

Mathematics Subject Classification ID

Cryptography (94A60) Jacobians, Prym varieties (14H40) Isogeny (14K02) Applications to coding theory and cryptography of arithmetic geometry (14G50) Automorphisms of curves (14H37)

Related Items (2)

Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph ⋮ Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3

Cites Work

• Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
• Cryptographic hash functions from expander graphs
• CSIDH: an efficient post-quantum commutative group action
• Genus two isogeny cryptography
• Arithmetic variety of moduli for genus two
• CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT
• The Supersingular Isogeny Problem in Genus 2 and Beyond
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