From 9ded4e33c5b6976657018b23ba4cc76939c165c7 Mon Sep 17 00:00:00 2001 From: Marius van der Wijden Date: Fri, 13 Nov 2020 10:17:23 +0100 Subject: [PATCH] crypto/bn256: better comments for u, P and Order (#21836) --- crypto/bn256/google/constants.go | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/crypto/bn256/google/constants.go b/crypto/bn256/google/constants.go index ab649d7f3f..0db432c9cf 100644 --- a/crypto/bn256/google/constants.go +++ b/crypto/bn256/google/constants.go @@ -13,13 +13,14 @@ func bigFromBase10(s string) *big.Int { 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") -// 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") // 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") // xiToPMinus1Over6 is ξ^((p-1)/6) where ξ = i+9.