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crypto/bn256: better comments for u, P and Order (#21836)

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Marius van der Wijden 2020-11-13 10:17:23 +01:00 committed by GitHub
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commit 9ded4e33c5
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1 changed files with 3 additions and 2 deletions
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5
crypto/bn256/google/constants.go
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@ -13,13 +13,14 @@ func bigFromBase10(s string) *big.Int {
return n return n
} }
// u is the BN parameter that determines the prime: 1868033³. // u is the BN parameter that determines the prime.
var u = bigFromBase10("4965661367192848881") var u = bigFromBase10("4965661367192848881")
// p is a prime over which we form a basic field: 36u⁴+36u³+24u²+6u+1. // P is a prime over which we form a basic field: 36u⁴+36u³+24u²+6u+1.
var P = bigFromBase10("21888242871839275222246405745257275088696311157297823662689037894645226208583") var P = bigFromBase10("21888242871839275222246405745257275088696311157297823662689037894645226208583")
// Order is the number of elements in both G₁ and G₂: 36u⁴+36u³+18u²+6u+1. // Order is the number of elements in both G₁ and G₂: 36u⁴+36u³+18u²+6u+1.
// Order - 1 = 2^28 * 3^2 * 13 * 29 * 983 * 11003 * 237073 * 405928799 * 1670836401704629 * 13818364434197438864469338081.
var Order = bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617") var Order = bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617")
// xiToPMinus1Over6 is ξ^((p-1)/6) where ξ = i+9. // xiToPMinus1Over6 is ξ^((p-1)/6) where ξ = i+9.