Q=G*x
Q=G_2*y
G_2 = Qn=Gt
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
1 | initial version |
Q=G*x
Q=G_2*y
G_2 = Qn=Gt
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
2 | None |
Q=G*x
Q=G_2*y
G_2 = Qn=Gt
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
3 | None |
Q=G*x
Q=G_2*y
G_2 *G_2 = Qn=GtQ[n]=G[t]
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
4 | None |
Q=G*x
Q=G_2*y
*G_2 G_2 = Q[n]=G[t]
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
5 | None |
Q=G*x
Q=G_2*y
G_2 = Q[n]=G[t]
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
6 | retagged |
Q=G*x
Q=G_2*y
G_2 = Q[n]=G[t]
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
7 | retagged |
Q=G*x
Q=G_2*y
G_2 = Q[n]=G[t]
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
8 | retagged |
Q=G*x
Q=G_2*y
G_2 = Q[n]=G[t]
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
9 | None |
Q=G*x
Q=G_2*yQ_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q, Q,Q_2, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
CODE:
p = 2**256 - 2**32 - 2**9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p)
eccurve = EllipticCurve(F,[a, b])
curve = eccurve
ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8 G = curve(Gx,Gy,1)
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39) print(Q)
R = Zmod(ord)
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) y = 1/x0
G2 = ZZ( y ) *Q
Q2 = ZZ(x0) * G2
print("Q==Q2'", Q2 == Q) print("Q",Q) print("Q2",Q2)
print("y",y) print("G",G) print("G2",G2)
10 | None |
Q=G*x
Q_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q,Q_2, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
CODE:
p =
2**256 - 2**322256 - 232 - 2**9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p)
GF(p)
eccurve = EllipticCurve(F,[a, b])
b])
curve = eccurve
eccurve
ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8 G = curve(Gx,Gy,1)
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
print(Q) R = Zmod(ord)
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) y = 1/x0
G2 = ZZ( y ) *Q
*Q Q2 = ZZ(x0) * G2
print("Q==Q2'", Q2 == Q)
print("Q",Q)
print("Q2",Q2)
print("Q2",Q2) print("y",y) print("G",G) print("G2",G2)
11 | None |
Q=G*x
Q_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q,Q_2, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
CODE:
p = 22 * * 256 - 22 * * 32 - 2**9 2 * * 9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p)
eccurve = EllipticCurve(F,[a, b])
curve = eccurve
ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
G = curve(Gx,Gy,1)
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
R = Zmod(ord)
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) y = 1/x0
G2 = ZZ( y ) *Q
*Q
Q2 = ZZ(x0) * G2
print("Q==Q2'", Q2 == Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
print("G2",G2)
12 | None |
Q=G*x
Q_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q,Q_2, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
CODE:
p = 2 * * 256 - 2 * * 32 - 2 * * 9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p) eccurve = EllipticCurve(F,[a, b]) curve = eccurve ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
G = curve(Gx,Gy,1)
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
R = Zmod(ord)
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) y = 1/x0
G2 = ZZ( y ) *Q
Q2 = ZZ(x0) * G2
print("Q==Q2'", Q2 == Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
print("G2",G2)
13 | None |
Q=G*x
Q_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q,Q_2, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
Pastebin code copy(more usefull) https://pastebin.com/C2vgKCJ0
CODE:
p = 2 * * 256 - 2 * * 32 - 2 * * 9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p) eccurve = EllipticCurve(F,[a, b]) curve = eccurve ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
G = curve(Gx,Gy,1)
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
R = Zmod(ord)
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) y = 1/x0
G2 = ZZ( y ) *Q
Q2 = ZZ(x0) * G2
print("Q==Q2'", Q2 == Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
print("G2",G2)
14 | None |
Q=G*x
Q_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q,Q_2, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
Pastebin code copy(more usefull) https://pastebin.com/C2vgKCJ0
CODE:
p = 2 * * 256 - 2 * * 32 - 2 * * 9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p) eccurve = EllipticCurve(F,[a, b]) curve = eccurve ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
G = curve(Gx,Gy,1)
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
R = Zmod(ord)
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) y = 1/x0
G2 = ZZ( y ) *Q
Q2 = ZZ(x0) * G2
print("Q==Q2'", Q2 == Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
print("G2",G2)
15 | retagged |
Q=G*x
Q_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 are points on elliptic curve
x, y are big integers
Q,Q_2, G, G_2, y are known
How to find x ?
P.s. help me please. I'm very need help.
Pastebin code copy(more usefull) https://pastebin.com/C2vgKCJ0
CODE:
p = 2 * * 256 - 2 * * 32 - 2 * * 9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p) eccurve = EllipticCurve(F,[a, b]) curve = eccurve ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
G = curve(Gx,Gy,1)
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
R = Zmod(ord)
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) y = 1/x0
G2 = ZZ( y ) *Q
Q2 = ZZ(x0) * G2
print("Q==Q2'", Q2 == Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
print("G2",G2)
16 | None |
Q=G*x
Q_2=G_2*y
G_2 = Q[n]=G[t]
Q=Q2
Q, G, G_2 Q=G∗x
Q2=G2∗y
G2=Q[n]=G[t]
Q=Q2
Q, G, G2 are points on elliptic curve
x, y curve.
x, y are big integers
Q,Q_2, G, G_2, y are knownintegers.
Q, Q2, G, G2, y are known.
How to find x ?
P.s. help me please. I'm very need help.
Pastebin code copy(more usefull) https://pastebin.com/C2vgKCJ0
CODE:
p = 2 * * 256 - 2 * * 32 - 2 * * 9 - 2^8 - 2^7 - 2^6 - 2^4 - 1 1
a = 0x0000000000000000000000000000000000000000000000000000000000000000
0x0000000000000000000000000000000000000000000000000000000000000000
b = 0x0000000000000000000000000000000000000000000000000000000000000007
0x0000000000000000000000000000000000000000000000000000000000000007
F = GF(p)
eccurve = EllipticCurve(F,[a, b])
curve = eccurve
ord = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
Gy = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
G = curve(Gx,Gy,1)
curve(Gx,Gy,1)
# This is a setion with data about Q !!!
# We are not calculating Q and we need find x and calculate Qz=x*G=Q.
# We are know Q,G but don't know x !!!
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
!!!
Q = curve(0x8b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b,
0x1d10f88145db40fb889e2ddce81bda7c27f5b615acd6179dbb30f4fe7f40fb39)
print(Q)
R = Zmod(ord)
end Zmod(ord)
####end of section
section
# this section calculated G2,y and Q = G2*y
G2*y
x0 = R(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF)
y = 1/x0
1/x0
G2 = ZZ( y ) *Q
* Q
Q2 = ZZ(x0) * G2
* G2
# End of section
section
# This section after x was find. Find x and paste to this code:
x = ....
code:
# x = ....
# Qresult=ZZ (x) * G
G
# print("Q==Qresult'", Q == Qresult)
Qresult)
# # end of section
section
print("Q==Q2'", Q2 == Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
print("G2",G2)
Q)
print("Q",Q)
print("Q2",Q2)
print("y",y)
print("G",G)
print("G2",G2)