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CSURF-TWO: CSIDH for the ratio \((2:1)\)

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Publication:2057141
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DOI10.1007/978-3-030-71852-7_10zbMath1479.94166OpenAlexW3139119175MaRDI QIDQ2057141

Xuejun Fan, Bao Li, Xiu Xu, Song Tian

Publication date: 8 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-71852-7_10


zbMATH Keywords

CSIDHCSURFideal class actionMontogomery curves


Mathematics Subject Classification ID

Cryptography (94A60) Elliptic curves over local fields (11G07) Quantum cryptography (quantum-theoretic aspects) (81P94)





Cites Work

  • Computing isogenies between Montgomery curves using the action of \((0,0)\)
  • A simple and compact algorithm for SIDH with arbitrary degree isogenies
  • Towards practical key exchange from ordinary isogeny graphs
  • CSIDH: an efficient post-quantum commutative group action
  • Analogues of Vélu’s formulas for isogenies on alternate models of elliptic curves
  • On the Security of Supersingular Isogeny Cryptosystems
  • Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
  • CSIDH on the Surface
  • Constructing elliptic curve isogenies in quantum subexponential time
  • A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem
  • Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\)




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