Optimized method for computing odd-degree isogenies on Edwards curves

DOI10.1007/978-3-030-34621-8_10zbMath1458.94251OpenAlexW2991103759MaRDI QIDQ2176652

Kisoon Yoon, Young-Ho Park, Suhri Kim, Seokhie Hong

Publication date: 5 May 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-34621-8_10

zbMATH Keywords

isogenyEdwards curvessupersingular elliptic curvesCSIDHMontgomery curvesSIDHpostquantum cryptography

Mathematics Subject Classification ID

Cryptography (94A60) Elliptic curves (14H52) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05) Isogeny (14K02) Quantum cryptography (quantum-theoretic aspects) (81P94)

Related Items (13)

Explicit construction of the square-root Vélu's formula on Edwards curves ⋮ Optimizing the evaluation of \(\ell\)-isogenous curve for isogeny-based cryptography ⋮ Radical Isogenies on Montgomery Curves ⋮ Isogeny Computation on Twisted Jacobi Intersections ⋮ Improvement of the square-root Vélu's formulas for isogeny-based cryptography ⋮ \( L_1\)-norm ball for CSIDH: optimal strategy for choosing the secret key space ⋮ Special properties of the point addition law for non-cyclic Edwards curves ⋮ PQC CSIKE algorithm on non-cyclic Edwards curves ⋮ Faster isogeny computation on twisted Hessian curves ⋮ An Interactive Tool to Explore and Improve the Ply Number of Drawings ⋮ How to construct CSIDH on Edwards curves ⋮ Isogenies on twisted Hessian curves ⋮ Simplified isogeny formulas on twisted Jacobi quartic curves

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