constantine/constantine/math/curves/bandersnatch_sqrt.nim
Mamy Ratsimbazafy ffacf61e8a
Don't dump all in "backend" (#184)
* backend -> math

* towers -> extension fields

* move ISA and compiler specific code out of math/

* fix export
2022-02-27 01:49:08 +01:00

20 lines
943 B
Nim

# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
# Licensed and distributed under either of
# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
# at your option. This file may not be copied, modified, or distributed except according to those terms.
import
../config/curves,
../io/[io_bigints, io_fields],
../arithmetic/finite_fields
const
# with e = 2adicity
# p == s * 2^e + 1
# root_of_unity = smallest_quadratic_nonresidue^s
# exponent = (p-1-2^e)/2^e / 2
Bandersnatch_TonelliShanks_exponent* = BigInt[222].fromHex"0x39f6d3a994cebea4199cec0404d0ec02a9ded2017fff2dff7fffffff"
Bandersnatch_TonelliShanks_twoAdicity* = 32
Bandersnatch_TonelliShanks_root_of_unity* = Fp[Bandersnatch].fromHex"0x212d79e5b416b6f0fd56dc8d168d6c0c4024ff270b3e0941b788f500b912f1f"