Constructing Isogenies on Extended Jacobi Quartic Curves

DOI10.1007/978-3-319-54705-3_26zbMath1404.14053OpenAlexW2593758733MaRDI QIDQ2980870

Kun-Peng Wang, Xiaoyang He, Xiu Xu, Wei Yu

Publication date: 5 May 2017

Published in: Information Security and Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-54705-3_26

zbMATH Keywords

elliptic curvesisogenyVélu's formulasextended Jacobi quartic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Isogeny (14K02)

Related Items

Isogeny Computation on Twisted Jacobi Intersections ⋮ Isogeny formulas for Jacobi intersection and twisted Hessian curves ⋮ \( L_1\)-norm ball for CSIDH: optimal strategy for choosing the secret key space ⋮ An Interactive Tool to Explore and Improve the Ply Number of Drawings ⋮ Simplified isogeny formulas on twisted Jacobi quartic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Improved algorithm for the isogeny problem for ordinary elliptic curves
• Constructive and destructive facets of Weil descent on elliptic curves
• Using \(5\)-isogenies to quintuple points on elliptic curves
• Improving the arithmetic of elliptic curves in the Jacobi model
• Endomorphisms of Abelian varieties over finite fields
• Analogues of Vélu’s formulas for isogenies on alternate models of elliptic curves
• A Quantum Algorithm for Computing Isogenies between Supersingular Elliptic Curves
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
• Jacobi Quartic Curves Revisited
• Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
• Elliptic Curve Cryptosystems
• Constructing Isogenies between Elliptic Curves Over Finite Fields
• New Formulae for Efficient Elliptic Curve Arithmetic
• Public Key Cryptography - PKC 2006