Sabrina Kunzweiler
, Inria Bordeaux - Sud-Ouest Research Centre
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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