You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
64 lines
1.3 KiB
64 lines
1.3 KiB
/*
|
|
sample of Elliptic Curve Diffie-Hellman key sharing
|
|
*/
|
|
#include <iostream>
|
|
#include <fstream>
|
|
#include <cybozu/random_generator.hpp>
|
|
#include <mcl/fp.hpp>
|
|
#include <mcl/ecparam.hpp>
|
|
|
|
typedef mcl::FpT<> Fp;
|
|
typedef mcl::FpT<mcl::ZnTag> Zn;
|
|
typedef mcl::EcT<Fp> Ec;
|
|
|
|
int main()
|
|
{
|
|
cybozu::RandomGenerator rg;
|
|
/*
|
|
system setup with a parameter secp192k1 recommended by SECG
|
|
Ec is an elliptic curve over Fp
|
|
the cyclic group of <P> is isomorphic to Zn
|
|
*/
|
|
const mcl::EcParam& para = mcl::ecparam::secp192k1;
|
|
Zn::init(para.n);
|
|
Fp::init(para.p);
|
|
Ec::init(para.a, para.b);
|
|
const Ec P(Fp(para.gx), Fp(para.gy));
|
|
|
|
/*
|
|
Alice setups a private key a and public key aP
|
|
*/
|
|
Zn a;
|
|
Ec aP;
|
|
|
|
a.setRand(rg);
|
|
Ec::mul(aP, P, a); // aP = a * P;
|
|
|
|
std::cout << "aP=" << aP << std::endl;
|
|
|
|
/*
|
|
Bob setups a private key b and public key bP
|
|
*/
|
|
Zn b;
|
|
Ec bP;
|
|
|
|
b.setRand(rg);
|
|
Ec::mul(bP, P, b); // bP = b * P;
|
|
|
|
std::cout << "bP=" << bP << std::endl;
|
|
|
|
Ec abP, baP;
|
|
|
|
// Alice uses bP(B's public key) and a(A's priavte key)
|
|
Ec::mul(abP, bP, a); // abP = a * (bP)
|
|
|
|
// Bob uses aP(A's public key) and b(B's private key)
|
|
Ec::mul(baP, aP, b); // baP = b * (aP)
|
|
|
|
if (abP == baP) {
|
|
std::cout << "key sharing succeed:" << abP << std::endl;
|
|
} else {
|
|
std::cout << "ERR(not here)" << std::endl;
|
|
}
|
|
}
|
|
|
|
|