Simplified isogeny formulas on twisted Jacobi quartic curves

Author:

Hu Zhi,Liu Zhe,Wang Lin,Zhou ZijianORCID

Funder

National University of Defense Technology

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Natural Science Foundation of Hunan Province

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference28 articles.

1. Faster computation of isogenies of large prime degree;Bernstein;Cryptol. ePrint Arch.,2020

2. The Jacobi model of an elliptic curve and side-channel analysis;Billet,2003

3. Arithmetic considerations for isogeny-based cryptography;Bos;IEEE Trans. Comput.,2019

4. Isogenies on twisted Hessian curves;Broon;J. Math. Cryptol.,2021

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1. ISH: Isogeny-based Secret Handshakes with friendly communication costs;Computer Standards & Interfaces;2025-01

2. A note on (2,2)-isogenies via theta coordinates;Finite Fields and Their Applications;2024-10

3. Isogeny computation on Kummer lines and applications;Journal of Information Security and Applications;2023-08

4. Optimizing the evaluation of ℓ-isogenous curve for isogeny-based cryptography;Information Processing Letters;2022-11

5. How to Compute an Isogeny on the Extended Jacobi Quartic Curves?;International Journal of Electronics and Telecommunications;2021-12-07

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