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mratsim avatar mratsim commented on June 8, 2024

Workaround via static curve configuration.

This doesn't allow us to configure an arbitrary finite field but is enough for cryptography.
This also allow the library to ensure constants are only defined once and so stored only once in ROM to optimize binary sizes.

constantine/constantine/config/curves.nim

Lines 41 to 75 in 05009f9

when not defined(testingCurves):
declareCurves:
# Barreto-Naehrig curve, pairing-friendly, Prime 254 bit, ~100-bit security
# https://eprint.iacr.org/2013/879.pdf
# Usage: Zero-Knowledge Proofs / zkSNARKs in ZCash and Ethereum 1
# https://eips.ethereum.org/EIPS/eip-196
curve BN254:
bitsize: 254
modulus: "0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47"
# Equation: Y^2 = X^3 + 3
curve BLS12_381:
bitsize: 381
modulus: "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"
# Equation: y^2 = x^3 + 4
curve P256: # secp256r1 / NIST P-256
bitsize: 256
modulus: "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff"
else:
# Fake curve for testing field arithmetic
declareCurves:
curve Fake101:
bitsize: 7
modulus: "0x65" # 101 in hex
curve Mersenne61:
bitsize: 61
modulus: "0x1fffffffffffffff" # 2^61 - 1
curve Mersenne127:
bitsize: 127
modulus: "0x7fffffffffffffffffffffffffffffff" # 2^127 - 1
curve P256: # secp256r1 / NIST P-256
bitsize: 256
modulus: "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff"
curve BLS12_381:
bitsize: 381
modulus: "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab"

from constantine.

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