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add: koalabear prime field #571

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Merged
mratsim merged 2 commits into from
Sep 1, 2025
Merged

add: koalabear prime field #571

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add: koalabear prime field
agnxsh Aug 29, 2025
cd1491e
Merge branch 'master' into koala
mratsim Sep 1, 2025
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23 changes: 14 additions & 9 deletions constantine/named/config_fields_and_curves.nim
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Expand Up @@ -65,15 +65,6 @@ declareCurves:
testingCurve: true
bitwidth: 16
modulus: "0xFFEF" # 65519 in hex

curve BabyBear: # BabyBear field used in SNARKs and zkVMs
bitwidth: 31
modulus: "0x78000001" # `0b1111000000000000000000000000001 = 15·2²⁷ + 1 = 2³¹ - 2²⁷ + 1`

curve Goldilocks: # GoldiLocks field used in SNARKs and zkVMs
bitwidth: 64
modulus: "0xFFFFFFFF00000001" # `1111111111111111111111111111111100000000000000000000000000000001 = 2^64 - 2^32 + 1`

curve Mersenne61:
testingCurve: true
bitwidth: 61
Expand All @@ -82,7 +73,21 @@ declareCurves:
testingCurve: true
bitwidth: 127
modulus: "0x7fffffffffffffffffffffffffffffff" # 2^127 - 1

# -----------------------------------------------------------------------------
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@mratsim mratsim Sep 1, 2025

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above this are testing "curves" and fields.


curve BabyBear: # BabyBear field used in SNARKs and zkVMs
bitwidth: 31
modulus: "0x78000001" # `0b1111000000000000000000000000001 = 15·2²⁷ + 1 = 2³¹ - 2²⁷ + 1`

curve KoalaBear: # KoalaBear field used in SNARKs and zkVMs
bitwidth: 31
modulus: "0x7f000001" # `0b11111111000000000000000000000001 = 255·2²⁴ + 1 = 2³¹ - 2²⁴ + 1`

curve Goldilocks: # GoldiLocks field used in SNARKs and zkVMs
bitwidth: 64
modulus: "0xFFFFFFFF00000001" # `1111111111111111111111111111111100000000000000000000000000000001 = 2^64 - 2^32 + 1`

curve P224: # NIST P-224
bitwidth: 224
modulus: "0xffffffffffffffffffffffffffffffff000000000000000000000001"
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