Solving the supersingular isogeny problem in time $p^{2/5+o(1)}$ using bivariate multipoint evaluation

Aleksei Udovenko

ePrint 2026/1575

Time bound

p^2/5+o(1)

Space bound

p^2/5+o(1)

Source / version date

3 Aug 2026

Comparison variant

General curves · classical · unconditional

Cost scale

p^c+o(1)

source-chronology

Received 31 July; approved 3 August 2026

Assumptions and source notes

Unconditional asymptotic time and memory bound based on theoretical bivariate multipoint evaluation. The source explicitly cautions that this does not provide a practical threat to current parameter sets.

Source location

Abstract; approved 2026-08-03
Version: Checked 2026-11-08; see linked source version/date

Primary source ↗

@misc{udovenko26-isogeny,
  author = {Aleksei Udovenko},
  title = {{Solving the supersingular isogeny problem in time $p^{2/5+o(1)}$ using bivariate multipoint evaluation}},
  year = {2026},
  url = {https://eprint.iacr.org/2026/1575},
  keywords = {supersingular isogenies, unconditional, multipoint evaluation},
  cr_date = {2026-08-03},
  cr_date_precision = {day},
  cr_status = {preprint},
  cr_venue = {Cryptology ePrint Archive 2026/1575},
  cr_author_ids = {aleksei-udovenko}
}