Optimized method for computing odd-degree isogenies on Edwards curves
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Publication:2176652
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
isogenyEdwards curvessupersingular elliptic curvesCSIDHMontgomery curvesSIDHpostquantum cryptography
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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