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/*
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sample of somewhat homomorphic encryption(SHE)
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*/
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#define PUT(x) std::cout << #x << "=" << (x) << std::endl;
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#include <cybozu/benchmark.hpp>
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#include <mcl/she.hpp>
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using namespace mcl::she;
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void miniSample()
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{
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// init library
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SHE::init();
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SecretKey sec;
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// init secret key by random_device
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sec.setByCSPRNG();
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// set range to decode GT DLP
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SHE::setRangeForDLP(1000);
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PublicKey pub;
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// get public key
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sec.getPublicKey(pub);
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const int N = 5;
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int a[] = { 1, 5, -3, 4, 6 };
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int b[] = { 4, 2, 1, 9, -2 };
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// compute correct value
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int sum = 0;
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for (size_t i = 0; i < N; i++) {
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sum += a[i] * b[i];
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}
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std::vector<CipherText> ca(N), cb(N);
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// encrypt each a[] and b[]
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for (size_t i = 0; i < N; i++) {
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pub.enc(ca[i], a[i]);
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pub.enc(cb[i], b[i]);
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}
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CipherText c;
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c.clearAsMultiplied(); // clear as multiplied before using c.add()
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// inner product of encrypted vector
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for (size_t i = 0; i < N; i++) {
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CipherText t;
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CipherText::mul(t, ca[i], cb[i]); // t = ca[i] * cb[i]
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c.add(t); // c += t
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}
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// decode it
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int m = (int)sec.dec(c);
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// verify the value
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if (m == sum) {
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puts("ok");
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} else {
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printf("err correct %d err %d\n", sum, m);
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}
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}
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void usePrimitiveCipherText()
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{
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// init library
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SHE::init();
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SecretKey sec;
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// init secret key by random_device
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sec.setByCSPRNG();
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// set range to decode GT DLP
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SHE::setRangeForGTDLP(100);
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PublicKey pub;
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// get public key
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sec.getPublicKey(pub);
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int a1 = 1, a2 = 2;
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int b1 = 5, b2 = -4;
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CipherTextG1 c1, c2; // size of CipherTextG1 = N * 2 ; N = 256-bit for CurveFp254BNb
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CipherTextG2 d1, d2; // size of CipherTextG2 = N * 4
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pub.enc(c1, a1);
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pub.enc(c2, a2);
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pub.enc(d1, b1);
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pub.enc(d2, b2);
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c1.add(c2); // CipherTextG1 is additive HE
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d1.add(d2); // CipherTextG2 is additive HE
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CipherTextGT cm; // size of CipherTextGT = N * 12 * 4
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CipherTextGT::mul(cm, c1, d1); // cm = c1 * d1
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cm.add(cm); // 2cm
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int m = (int)sec.dec(cm);
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int ok = (a1 + a2) * (b1 + b2) * 2;
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if (m == ok) {
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puts("ok");
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} else {
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printf("err m=%d ok=%d\n", m, ok);
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}
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std::string s;
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s = c1.getStr(mcl::IoSerialize); // serialize
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printf("c1 data size %d byte\n", (int)s.size());
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c2.setStr(s, mcl::IoSerialize);
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printf("deserialize %s\n", c1 == c2 ? "ok" : "ng");
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s = d1.getStr(mcl::IoSerialize); // serialize
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printf("d1 data size %d byte\n", (int)s.size());
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d2.setStr(s, mcl::IoSerialize);
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printf("deserialize %s\n", d1 == d2 ? "ok" : "ng");
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s = cm.getStr(mcl::IoSerialize); // serialize
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printf("cm data size %d byte\n", (int)s.size());
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CipherTextGT cm2;
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cm2.setStr(s, mcl::IoSerialize);
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printf("deserialize %s\n", cm == cm2 ? "ok" : "ng");
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}
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int main()
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try
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{
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miniSample();
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usePrimitiveCipherText();
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} catch (std::exception& e) {
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printf("err %s\n", e.what());
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return 1;
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}
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