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// Copyright 2012 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package bn256
import (
func ExamplePair() {
// This implements the tripartite Diffie-Hellman algorithm from "A One
// Round Protocol for Tripartite Diffie-Hellman", A. Joux.
// Each of three parties, a, b and c, generate a private value.
a, _ := rand.Int(rand.Reader, Order)
b, _ := rand.Int(rand.Reader, Order)
c, _ := rand.Int(rand.Reader, Order)
// Then each party calculates g₁ and g₂ times their private value.
pa := new(G1).ScalarBaseMult(a)
qa := new(G2).ScalarBaseMult(a)
pb := new(G1).ScalarBaseMult(b)
qb := new(G2).ScalarBaseMult(b)
pc := new(G1).ScalarBaseMult(c)
qc := new(G2).ScalarBaseMult(c)
// Now each party exchanges its public values with the other two and
// all parties can calculate the shared key.
k1 := Pair(pb, qc)
k1.ScalarMult(k1, a)
k2 := Pair(pc, qa)
k2.ScalarMult(k2, b)
k3 := Pair(pa, qb)
k3.ScalarMult(k3, c)
// k1, k2 and k3 will all be equal.