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crypto/bn256/cloudflare: fix comments to describe the updated curve parameters (#19577)

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* Removed comment section referring to Cloudflare's bn curve parameters

* Added comment to clarify the nature of the parameters

* Changed value of xi to i+9
This commit is contained in:
Antoine Rondelet 2019-05-28 07:13:30 +01:00 committed by Péter Szilágyi
parent 5429dc75bd
commit 2388e425f2
2 changed files with 5 additions and 2 deletions
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5
crypto/bn256/cloudflare/constants.go
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@ -13,10 +13,13 @@ 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.
var u = bigFromBase10("4965661367192848881") var u = bigFromBase10("4965661367192848881")
// 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.
// Needs to be highly 2-adic for efficient SNARK key and proof generation.
// Order - 1 = 2^28 * 3^2 * 13 * 29 * 983 * 11003 * 237073 * 405928799 * 1670836401704629 * 13818364434197438864469338081.
// Refer to https://eprint.iacr.org/2013/879.pdf and https://eprint.iacr.org/2013/507.pdf for more information on these parameters.
var Order = bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617") var Order = bigFromBase10("21888242871839275222246405745257275088548364400416034343698204186575808495617")
// 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.

2
crypto/bn256/cloudflare/gfp6.go
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@ -5,7 +5,7 @@ package bn256
// http://eprint.iacr.org/2006/471.pdf. // http://eprint.iacr.org/2006/471.pdf.
// gfP6 implements the field of size p⁶ as a cubic extension of gfP2 where τ³=ξ // gfP6 implements the field of size p⁶ as a cubic extension of gfP2 where τ³=ξ
// and ξ=i+3. // and ξ=i+9.
type gfP6 struct { type gfP6 struct {
x, y, z gfP2 // value is xτ² + yτ + z x, y, z gfP2 // value is xτ² + yτ + z
} }