Efficient computation of \((3^n,3^n)\)-isogenies

DOI10.1007/978-3-031-37679-5_3MaRDI QIDQ6186336

Thomas Decru, Sabrina Kunzweiler

Publication date: 2 February 2024

Published in: Progress in Cryptology - AFRICACRYPT 2023 (Search for Journal in Brave)

zbMATH Keywords

class groupsShafarevich-Tate groupJacobiansisogeniesKummer surfacesgenus 2 curves

Mathematics Subject Classification ID

Cryptography (94A60) Special algebraic curves and curves of low genus (14H45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Cites Work

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• Cryptographic hash functions from expander graphs
• The Magma algebra system. I: The user language
• Supersingular isogeny graphs and endomorphism rings: reductions and solutions
• Mathematical modelling for next-generation cryptography. CREST Crypto-Math project
• Hash functions from superspecial genus-2 curves using Richelot isogenies
• Genus two isogeny cryptography
• Radical isogenies
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• The number of curves of genus two with elliptic differentials.
• Descent via (3,3)-isogeny on Jacobians of genus 2 curves
• Genus-2 curves and Jacobians with a given number of points
• Computing $(\ell ,\ell )$-isogenies in polynomial time on Jacobians of genus $2$ curves
• Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors
• Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves
• Multiradical isogenies
• Supersingular curves you can trust
• An efficient key recovery attack on SIDH
• A direct key recovery attack on SIDH
• Breaking SIDH in polynomial time

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