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License: The Unlicense
Example Implementation of Square Roots in Finite Fields
License: The Unlicense
Hi Thomas,
Your paper was brought to my attention by @yelhousni as I was looking for strategies to improve point decompression in zero-knowledge proofs and blockchain protocols (mratsim/constantine#236)
There has been some recent developments made in parallel by @asanso and @GottfriedHerold and summarized by @jsign:
Looking at your table, you do not include the initial exponentiation cost
Re-running your code for the two-adicity of interest, n=32 for all most all "annoying sqrt fields" like Banrdersnatch, the Pasta curves, BLS12-377 except for BLS24-315 for which n=60 (https://eprint.iacr.org/2021/1359.pdf):
Gottfried's optimization with 8-bit windows lead to 34 field operations instead of the 38 you found.
Implementation in:
cc @kevaundray
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