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Parameters for BGV
Tripling on Hessian curves via isogeny decomposition
Thomas Decru, KU Leuven · 2026-02-20 · via Cryptology ePrint Archive

Paper 2026/334

Tripling on Hessian curves via isogeny decomposition

Sabrina Kunzweiler, Inria Bordeaux - Sud-Ouest Research Centre

Abstract

We provide a new interpretation of the arithmetic on Hessian Kummer lines using level-3 theta structures. This allows us to break the record for tripling on elliptic curves and their Kummer lines, requiring only 4 multiplications and 4 squarings per tripling for well-chosen curve parameters.

BibTeX 

@misc{cryptoeprint:2026/334,
      author = {Thomas Decru and Sabrina Kunzweiler},
      title = {Tripling on Hessian curves via isogeny decomposition},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/334},
      year = {2026},
      url = {https://eprint.iacr.org/2026/334}
}

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