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* introduce sumprod for direct fp6_mul * change curves -> constants * forgotten constants * Full pairing using Fp2->Fp6->Fp12 towering
22 lines
998 B
Nim
22 lines
998 B
Nim
# Constantine
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# Copyright (c) 2018-2019 Status Research & Development GmbH
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# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
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# Licensed and distributed under either of
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# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
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# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import
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../config/curves,
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../io/[io_bigints, io_fields],
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../arithmetic/finite_fields
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const
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# with e = 2adicity
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# p == s * 2^e + 1
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# root_of_unity = smallest_quadratic_nonresidue^s
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# exponent = (p-1-2^e)/2^e / 2
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Pallas_TonelliShanks_exponent* = BigInt[222].fromHex"0x2000000000000000000000000000000011234c7e04a67c8dcc969876"
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Pallas_TonelliShanks_twoAdicity* = 32
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Pallas_TonelliShanks_root_of_unity* = Fp[Pallas].fromHex"0x2bce74deac30ebda362120830561f81aea322bf2b7bb7584bdad6fabd87ea32f"
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