modify fp_priv gp script for eval (old)
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Markus Teich
parent
f4b71550bb
commit
1b29de8ebe
@ -6,11 +6,11 @@
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\\\\\\\\\\\\
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\\ amount of bidders
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n = 3
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\\n = 3
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\\ amount of possible prices
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k = 2^2
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\\k = 2^2
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\\ randomize bids (change to something static, if you like)
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bid = vector(n,i,random(k)+1)
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\\bid = vector(n,i,random(k)+1)
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\\bid = vector(n,i,n-i+1) \\ first bidder wins
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\\bid = vector(n,i,i) \\ last bidder wins
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\\bid = vector(n,i,(i+1)%2) \\ second bidder wins (with ties)
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@ -19,68 +19,69 @@ bid = vector(n,i,random(k)+1)
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\\ SETUP
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\\\\\\\\\\\\
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read(group)
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read(zkp)
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read(group);
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read(zkp);
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\\\\\\\\\\\\
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\\ PROLOG
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\\\\\\\\\\\\
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\\ private keys of agents
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x = vector(n,i,random(q))
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\\ first index level = owning agent id (additive share)
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\\ second index level = agent id, price id
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m = vector(n,i,matrix(n,k,a,b,random(q)))
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\\ zkp
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proofs1 = vector(n,i,zkp1_proof(G, x[i]))
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\\ public keyshares of agents
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yshares = vector(n,i,proofs1[i][4])
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\\yshares = vector(n,i,G^x[i])
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\\ for performance evaluations we need to check the proofs for every bidder
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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fp_priv(bids:vec, k:int) =
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{
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for(i=0,n,
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local(n:int = length(bids));
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\\\\\\\\\\\\
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\\ PROLOG
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\\\\\\\\\\\\
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\\ private keys of agents
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x = vector(n,i,random(q));
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\\ first index level = owning agent id (additive share)
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\\ second index level = agent id, price id
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m = vector(n,i,matrix(n,k,a,b,random(q)));
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\\ zkp
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proofs1 = vector(n,i,zkp1_proof(G, x[i]));
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\\ public keyshares of agents
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yshares = vector(n,i,proofs1[i][4]);
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\\yshares = vector(n,i,G^x[i])
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\\ for performance evaluations we need to check the proofs for every bidder
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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for(i=0,n,
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for(h=1,n,
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if(1 != zkp1_check(proofs1[h]),
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error("zkp1 failure in round0")
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)
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)
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)
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}
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);
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\\ shared public key
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y = prod(X=1,n,yshares[X])
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\\ shared public key
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y = prod(X=1,n,yshares[X]);
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\\\\\\\\\\\\
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\\ ROUND1
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\\\\\\\\\\\\
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\\ ROUND1
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\\\\\\\\\\\\
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\\ bid matrix
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b = matrix(n,k,i,j,G^(bid[i]==j))
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\\ bid matrix
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b = matrix(n,k,i,j,G^(bids[i]==j));
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\\ zkp
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proofs3 = matrix(n,k,i,j, zkp3_proof(G,y,G^(bid[i]==j)))
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\\ zkp
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proofs3 = matrix(n,k,i,j, zkp3_proof(G,y,G^(bids[i]==j)));
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\\ index = owning agent id, price id
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r = matrix(n,k,i,j,proofs3[i,j][13])
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\\r = matrix(n,k,i,j,random(q))
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\\ index = owning agent id, price id
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r = matrix(n,k,i,j,proofs3[i,j][13]);
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\\r = matrix(n,k,i,j,random(q))
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\\ encrypted bids
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Alpha = matrix(n,k,i,j, proofs3[i,j][3])
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Beta = matrix(n,k,i,j, proofs3[i,j][4])
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\\Alpha = matrix(n,k,i,j, b[i,j]*y^r[i,j])
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\\Beta = matrix(n,k,i,j, G^r[i,j])
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\\ encrypted bids
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Alpha = matrix(n,k,i,j, proofs3[i,j][3]);
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Beta = matrix(n,k,i,j, proofs3[i,j][4]);
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\\Alpha = matrix(n,k,i,j, b[i,j]*y^r[i,j])
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\\Beta = matrix(n,k,i,j, G^r[i,j])
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proofs2 = vector(n,i, zkp2_proof(y,G,sum(j=1,k, r[i,j])))
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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\\ j := price index to check
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{
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for(i=0,n,
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proofs2 = vector(n,i, zkp2_proof(y,G,sum(j=1,k, r[i,j])));
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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\\ j := price index to check
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for(i=0,n,
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for(h=1,n,
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for(j=1,k,
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if(1 != zkp3_check(proofs3[h,j]),
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@ -97,31 +98,29 @@ for(i=0,n,
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error("zkp2 failure in round1")
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)
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)
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)
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}
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);
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\\\\\\\\\\\\
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\\ ROUND2
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\\\\\\\\\\\\
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\\\\\\\\\\\\
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\\ ROUND2
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\\\\\\\\\\\\
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\\ multiplicative shares
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\\ first index level = owning agent id (multiplicative share)
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\\ second index level = agent id, price id
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Gamma = vector(n,a,matrix(n,k,i,j, prod(h=1,n,prod(d=j+1,k,Alpha[h,d])) * prod(d=1,j-1,Alpha[i,d]) * prod(h=1,i-1,Alpha[h,j]) ))
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Delta = vector(n,a,matrix(n,k,i,j, prod(h=1,n,prod(d=j+1,k, Beta[h,d])) * prod(d=1,j-1, Beta[i,d]) * prod(h=1,i-1, Beta[h,j]) ))
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\\Gamma = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j+1,k,Alpha[h,d])) * prod(d=1,j-1,Alpha[i,d]) * prod(h=1,i-1,Alpha[h,j]) )^m[a][i,j] ))
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\\Delta = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j+1,k, Beta[h,d])) * prod(d=1,j-1, Beta[i,d]) * prod(h=1,i-1, Beta[h,j]) )^m[a][i,j] ))
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\\ multiplicative shares
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\\ first index level = owning agent id (multiplicative share)
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\\ second index level = agent id, price id
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Gamma = vector(n,a,matrix(n,k,i,j, prod(h=1,n,prod(d=j+1,k,Alpha[h,d])) * prod(d=1,j-1,Alpha[i,d]) * prod(h=1,i-1,Alpha[h,j]) ));
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Delta = vector(n,a,matrix(n,k,i,j, prod(h=1,n,prod(d=j+1,k, Beta[h,d])) * prod(d=1,j-1, Beta[i,d]) * prod(h=1,i-1, Beta[h,j]) ));
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\\Gamma = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j+1,k,Alpha[h,d])) * prod(d=1,j-1,Alpha[i,d]) * prod(h=1,i-1,Alpha[h,j]) )^m[a][i,j] ))
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\\Delta = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j+1,k, Beta[h,d])) * prod(d=1,j-1, Beta[i,d]) * prod(h=1,i-1, Beta[h,j]) )^m[a][i,j] ))
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\\ random masking and zkp
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proofs2 = vector(n,a,matrix(n,k,i,j, zkp2_proof(Gamma[a][i,j], Delta[a][i,j], random(q)) ))
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\\ random masking and zkp
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proofs2 = vector(n,a,matrix(n,k,i,j, zkp2_proof(Gamma[a][i,j], Delta[a][i,j], random(q)) ));
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\\ for performance evaluations we need to check the proofs for every bidder
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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\\ t := target bidder (creator of the proof)
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\\ j := price
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{
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for(t=1,n,
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\\ for performance evaluations we need to check the proofs for every bidder
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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\\ t := target bidder (creator of the proof)
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\\ j := price
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for(t=1,n,
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for(h=1,n,
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for(j=1,k,
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for(i=0,n,
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@ -134,29 +133,27 @@ for(t=1,n,
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Delta[t][h,j] = proofs2[t][h,j][7];
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)
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)
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)
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}
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);
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\\\\\\\\\\\\
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\\ ROUND3
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\\\\\\\\\\\\
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\\\\\\\\\\\\
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\\ ROUND3
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\\\\\\\\\\\\
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\\ multiplicative shares (decryption)
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\\ first index level = owning agent id (multiplicative share)
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\\ second index level = agent id, price id
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Phi = vector(n,a,matrix(n,k,i,j, prod(h=1,n,Delta[h][i,j]) ))
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\\Phi = vector(n,a,matrix(n,k,i,j, prod(h=1,n,Delta[h][i,j])^x[a] ))
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\\ multiplicative shares (decryption)
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\\ first index level = owning agent id (multiplicative share)
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\\ second index level = agent id, price id
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Phi = vector(n,a,matrix(n,k,i,j, prod(h=1,n,Delta[h][i,j]) ));
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\\Phi = vector(n,a,matrix(n,k,i,j, prod(h=1,n,Delta[h][i,j])^x[a] ))
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proofs2 = vector(n,a,matrix(n,k,i,j, zkp2_proof(Phi[a][i,j], G, x[a]) ))
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proofs2 = vector(n,a,matrix(n,k,i,j, zkp2_proof(Phi[a][i,j], G, x[a]) ));
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\\ for performance evaluations we need to check the proofs for every bidder
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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\\ t := target bidder (creator of the proof)
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\\ j := price
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{
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for(t=1,n,
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\\ for performance evaluations we need to check the proofs for every bidder
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\\ i := checking bidder (0 == seller)
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\\ h := bidder to check
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\\ t := target bidder (creator of the proof)
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\\ j := price
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for(t=1,n,
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for(h=1,n,
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for(j=1,k,
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for(i=0,n,
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@ -168,19 +165,24 @@ for(t=1,n,
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Phi[t][h,j] = proofs2[t][h,j][6];
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)
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)
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)
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);
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\\\\\\\\\\\\
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\\ EPILOG
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\\\\\\\\\\\\
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\\ winner matrix
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v = matrix(n,k,a,j, prod(i=1,n,Gamma[i][a,j]) / prod(i=1,n,Phi[i][a,j]) );
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vi = lift(v);
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print("bids are: ", bids);
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for(X=1,n,
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if(vecmin(vi[X,])==1,
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print("And the winner is ", X)
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)
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);
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}
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\\\\\\\\\\\\
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\\ EPILOG
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\\\\\\\\\\\\
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\\ winner matrix
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v = matrix(n,k,a,j, prod(i=1,n,Gamma[i][a,j]) / prod(i=1,n,Phi[i][a,j]) )
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vi = lift(v)
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print("bids are: ", bid)
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for(X=1,n, if(vecmin(vi[X,])==1, print("And the winner is ", X) ))
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;
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