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ipe-m.cpp
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ipe-m.cpp
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#include "pairing_3.h"
#include "ipe-m.h"
IpeBMsk *
Ipe::BasicSetup(Big o, Big d1, Big d2){
IpeBMsk *bmsk;
Big w1,w2,f1,f2;
pfc->random(w1);
pfc->random(f1);
pfc->random(f2);
w2=moddiv(o+modmult(d2,w1,order),d1,order);
bmsk = new IpeBMsk(w1,w2,f1,f2);
return bmsk;
}
IpeMsk *
Ipe::Setup(){
IpeMsk *msk;
Big omega, *Delta1, *Delta2;
Delta1 = new Big[2];
Delta2 = new Big[2];
G1 g;
G2 g2;
IpeBMsk ***bmsk = new IpeBMsk**[len];
pfc->random(omega);
pfc->random(Delta1[0]);
pfc->random(Delta1[1]);
pfc->random(Delta2[0]);
pfc->random(Delta2[1]);
pfc->random(g);
pfc->random(g2);
for(int i=0;i<len;i++){
bmsk[i] = new IpeBMsk*[2];
bmsk[i][0] = BasicSetup(omega,Delta1[0],Delta1[1]);
bmsk[i][1] = BasicSetup(omega,Delta2[0],Delta2[1]);
}
msk = new IpeMsk(g,g2,omega,Delta1,Delta2,bmsk);
return msk;
}
IpeMsk *
Ipe::Setup(G1 g, G2 g2, Big omega, Big *Delta1, Big *Delta2){
IpeMsk *msk;
IpeBMsk ***bmsk = new IpeBMsk**[len];
for(int i=0;i<len;i++){
bmsk[i] = new IpeBMsk*[2];
bmsk[i][0] = BasicSetup(omega,Delta1[0],Delta1[1]);
bmsk[i][1] = BasicSetup(omega,Delta2[0],Delta2[1]);
}
msk = new IpeMsk(g,g2,omega,Delta1,Delta2,bmsk);
return msk;
}
IpeBCt *
Ipe::BasicEncrypt(IpeBMsk *bmsk, Big *D, Big x, Big s1, Big s2, Big t, G1 g){
IpeBCt *ct;
G1 ct1,ct2;
Big c1,c2;
c1 = modmult(bmsk->w1,s1,order)+modmult(bmsk->f1,s2,order)+modmult(D[0],modmult(x,t,order),order);
c2 = modmult(bmsk->w2,s1,order)+modmult(bmsk->f2,s2,order)+modmult(D[1],modmult(x,t,order),order);
ct1=pfc->mult(g,c1);
ct2=pfc->mult(g,c2);
ct = new IpeBCt(ct1,ct2);
return ct;
}
IpeCt *
Ipe::PEncrypt(IpeMsk *msk, Big *X){
IpeCt *ct;
IpeBCt ***bct = new IpeBCt**[len];
Big s1,s2,s3,s4;
G1 g_1, g1_1;
pfc->random(s1);
pfc->random(s2);
pfc->random(s3);
pfc->random(s4);
for(int i=0;i<len;i++){
bct[i] = new IpeBCt*[2];
bct[i][0]=BasicEncrypt(msk->bmsk[i][0],msk->Delta1,X[i],s1,s2,s3,msk->g);
bct[i][1]=BasicEncrypt(msk->bmsk[i][1],msk->Delta2,X[i],s1,s2,s4,msk->g);
}
g_1 = pfc->mult(msk->g,s2);
g1_1 = pfc->mult(msk->g,modmult(msk->omega,s1,order));
ct = new IpeCt(g_1,g1_1,bct);
return ct;
}
IpeCt *
Ipe::MEncrypt(IpeMsk *msk, Big *X, GT M){
IpeCt *ct;
IpeBCt ***bct = new IpeBCt**[len];
Big s1,s2,s3,s4;
G1 g_1, g1_1;
pfc->random(s1);
pfc->random(s2);
pfc->random(s3);
pfc->random(s4);
for(int i=0;i<len;i++){
bct[i] = new IpeBCt*[2];
bct[i][0]=BasicEncrypt(msk->bmsk[i][0],msk->Delta1,X[i],s1,s2,s3,msk->g);
bct[i][1]=BasicEncrypt(msk->bmsk[i][1],msk->Delta2,X[i],s1,s2,s4,msk->g);
}
g_1 = pfc->mult(msk->g,s2);
g1_1 = pfc->mult(msk->g,modmult(msk->omega,s1,order));
GT tmpgt = pfc->pairing(msk->g2,msk->g);
GT C0 = pfc->power(tmpgt,s2);
GT C = M*C0;
ct = new IpeCt(g_1,g1_1,bct,C);
return ct;
}
IpeCt *
Ipe::MEncrypt(IpeMsk *msk, Big *X, Big s3, Big s4, GT M){
IpeCt *ct;
IpeBCt ***bct = new IpeBCt**[len];
Big s1,s2;
G1 g_1, g1_1;
pfc->random(s1);
pfc->random(s2);
for(int i=0;i<len;i++){
bct[i] = new IpeBCt*[2];
bct[i][0]=BasicEncrypt(msk->bmsk[i][0],msk->Delta1,X[i],s1,s2,s3,msk->g);
bct[i][1]=BasicEncrypt(msk->bmsk[i][1],msk->Delta2,X[i],s1,s2,s4,msk->g);
}
g_1 = pfc->mult(msk->g,s2);
g1_1 = pfc->mult(msk->g,modmult(msk->omega,s1,order));
GT tmpgt = pfc->pairing(msk->g2,msk->g);
GT C0 = pfc->power(tmpgt,s2);
GT C = M*C0;
ct = new IpeCt(g_1,g1_1,bct,C);
return ct;
}
IpeBKey *
Ipe::BasicKeyGen(IpeBMsk *bmsk, Big *D, Big y, Big lambda, Big r, G2 g2){
IpeBKey *k;
G2 k1,k2;
Big bk1,bk2;
bk1 = modmult(modmult(lambda,y,order),bmsk->w2,order)-modmult(D[1],r,order);
bk2 = modmult(D[0],r,order)-modmult(modmult(lambda,y,order),bmsk->w1,order);
k1 = pfc->mult(g2,bk1);
k2 = pfc->mult(g2,bk2);
k = new IpeBKey(k1,k2);
return k;
}
IpeKey *
Ipe::PKeyGen(IpeMsk *msk, Big *Y){
IpeKey *k;
IpeBKey ***bk = new IpeBKey**[len];
Big lambda1,lambda2,r[len],phi[len],kb=0;
G2 KA, KB;
pfc->random(lambda1);
pfc->random(lambda2);
IpeBMsk *bmsk1, *bmsk2;
for(int i=0;i<len;i++){
bk[i] = new IpeBKey*[2];
pfc->random(r[i]);
pfc->random(phi[i]);
bmsk1 = msk->bmsk[i][0];
bmsk2 = msk->bmsk[i][1];
bk[i][0] = BasicKeyGen(bmsk1,msk->Delta1,Y[i],lambda1,r[i],msk->g2);
bk[i][1] = BasicKeyGen(bmsk2,msk->Delta2,Y[i],lambda2,phi[i],msk->g2);
KA = KA+pfc->mult(bk[i][0]->k1,-bmsk1->f1);
KA = KA+pfc->mult(bk[i][0]->k2,-bmsk1->f2);
KA = KA+pfc->mult(bk[i][1]->k1,-bmsk2->f1);
KA = KA+pfc->mult(bk[i][1]->k2,-bmsk2->f2);
kb += -(r[i]+phi[i])%order;
}
KB = pfc->mult(msk->g2,kb);
k = new IpeKey(KA,KB,bk);
return k;
}
IpeKey *
Ipe::MKeyGen(IpeMsk *msk, Big *Y){
IpeKey *k;
IpeBKey ***bk = new IpeBKey**[len];
Big lambda1,lambda2,r[len],phi[len],kb=0;
G2 KA, KB;
KA=msk->g2;
pfc->random(lambda1);
pfc->random(lambda2);
IpeBMsk *bmsk1, *bmsk2;
for(int i=0;i<len;i++){
bk[i] = new IpeBKey*[2];
pfc->random(r[i]);
pfc->random(phi[i]);
bmsk1 = msk->bmsk[i][0];
bmsk2 = msk->bmsk[i][1];
bk[i][0] = BasicKeyGen(bmsk1,msk->Delta1,Y[i],lambda1,r[i],msk->g2);
bk[i][1] = BasicKeyGen(bmsk2,msk->Delta2,Y[i],lambda2,phi[i],msk->g2);
KA = KA+pfc->mult(bk[i][0]->k1,-bmsk1->f1);
KA = KA+pfc->mult(bk[i][0]->k2,-bmsk1->f2);
KA = KA+pfc->mult(bk[i][1]->k1,-bmsk2->f1);
KA = KA+pfc->mult(bk[i][1]->k2,-bmsk2->f2);
kb += -(r[i]+phi[i])%order;
}
KB = pfc->mult(msk->g2,kb);
k = new IpeKey(KA,KB,bk);
return k;
}
IpeKey *
Ipe::MKeyGen(IpeMsk *msk, Big *Y, Big lambda1, Big lambda2){
IpeKey *k;
IpeBKey ***bk = new IpeBKey**[len];
Big r[len],phi[len],kb=0;
G2 KA, KB;
KA=msk->g2;
IpeBMsk *bmsk1, *bmsk2;
for(int i=0;i<len;i++){
bk[i] = new IpeBKey*[2];
pfc->random(r[i]);
pfc->random(phi[i]);
bmsk1 = msk->bmsk[i][0];
bmsk2 = msk->bmsk[i][1];
bk[i][0] = BasicKeyGen(bmsk1,msk->Delta1,Y[i],lambda1,r[i],msk->g2);
bk[i][1] = BasicKeyGen(bmsk2,msk->Delta2,Y[i],lambda2,phi[i],msk->g2);
KA = KA+pfc->mult(bk[i][0]->k1,-bmsk1->f1);
KA = KA+pfc->mult(bk[i][0]->k2,-bmsk1->f2);
KA = KA+pfc->mult(bk[i][1]->k1,-bmsk2->f1);
KA = KA+pfc->mult(bk[i][1]->k2,-bmsk2->f2);
kb += -(r[i]+phi[i])%order;
}
KB = pfc->mult(msk->g2,kb);
k = new IpeKey(KA,KB,bk);
return k;
}
bool
Ipe::PDecrypt(IpeCt *ct, IpeKey *key){
G2 **left=new G2* [4*len+2];
G1 **right=new G1* [4*len+2];
left[0]=&key->KA; right[0]=&ct->A;
left[1]=&key->KB; right[1]=&ct->B;
int j=2;
for (int i=0;i<len;i++)
{
left[j]=&key->key[i][0]->k1;
right[j]=&ct->ct[i][0]->ct1;
j++;
left[j]=&key->key[i][0]->k2;
right[j]=&ct->ct[i][0]->ct2;
j++;
left[j]=&key->key[i][1]->k1;
right[j]=&ct->ct[i][1]->ct1;
j++;
left[j]=&key->key[i][1]->k2;
right[j]=&ct->ct[i][1]->ct2;
j++;
}
GT res=pfc->multi_pairing(4*len+2,left,right);
if(res==(GT)1)
return true;
else
return false;
}
GT
Ipe::MDecrypt(IpeCt *ct, IpeKey *key){
G2 **left=new G2* [4*len+2];
G1 **right=new G1* [4*len+2];
left[0]=&key->KA; right[0]=&ct->A;
left[1]=&key->KB; right[1]=&ct->B;
int j=2;
for (int i=0;i<len;i++)
{
left[j]=&key->key[i][0]->k1;
right[j]=&ct->ct[i][0]->ct1;
j++;
left[j]=&key->key[i][0]->k2;
right[j]=&ct->ct[i][0]->ct2;
j++;
left[j]=&key->key[i][1]->k1;
right[j]=&ct->ct[i][1]->ct1;
j++;
left[j]=&key->key[i][1]->k2;
right[j]=&ct->ct[i][1]->ct2;
j++;
}
GT res=ct->C/pfc->multi_pairing(4*len+2,left,right);
return res;
}