Considering the ECDSA based on the elliptic curve E: y2 =x3+ax+b over GF(p) where 0<a,b<p, assume...
Considering the ECDSA based on the elliptic curve E: y2 =x3+ax+b over GF(p) where 0<a,b<p, assume that the size of the elliptic curve group is 160 bits, then the size of an ECDSA is
a 640 bits
b 80 bits
c 320 bits
d 160 bits
Homework Answers
`Hey,
Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.
It should definitely be out of 640 or 320 while doing ECC analysis. Result is 320 bits.
Kindly revert for any queries
Thanks.
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Considering the ECDSA based on the elliptic curve E: y2 =x3+ax+b
over GF(p) where 0<a,b<p, assume...
Let E be an elliptic curve involving the equation x3 + ax + b = y2 over the finite field Fp. Supp...
Let E be an elliptic curve involving the equation x3 + ax + b = y2 over the finite field Fp. Suppose you have the additional information that x3 + ax + b is never zero for any X ∈ Fp. Show that E must have an odd number of points. (Hint: don’t forget O)
3. Let E be the elliptic curve y2-x3+x 6 over ZI1 1) Find all points on E by calculating the quad...
3. Let E be the elliptic curve y2-x3+x 6 over ZI1 1) Find all points on E by calculating the quadratic residues like the one demonstrated in the lecture 2) What is the order of the group? [Do not forget the identity element 0] 3) Given a point P - (2, 7), what is 2P? [point doubling] 4) Given another point Q (3, 6), what is PQ? [point addition]
3. Let E be the elliptic curve y2-x3+x 6 over ZI1...
Given an elliptic curve E mod p, where p is a prime, the number of points...
Given an elliptic curve E mod p, where p is a prime, the number
of points on the curve is denoted as #E. Also, the ECDLP is
expressed as dP = T.
Which of these statements is TRUE? (select all that apply)
Incorrect 0/0.15 pts Question 18 The image below illustrates different elliptic curves. Elliptic curve cryptosystems rely on the hardness of the generalized discrete logarithm problem. ECDLP.png Given an elliptic curve E mod p, where p is a prime,...
Consider the elliptic curve y^2 = x^3 - 10x + 6 over the real numbers. (a)...
Consider the elliptic curve y^2 = x^3 - 10x + 6 over the real numbers. (a) Verify that the points P = (3, -1.732) and Q = (0.562, 0.7467) are actually on the curve. (b) Show that an elliptic curve group can be formed by verifying that 4a^3 + 27b^2 notequalto 0. (c) Calculate P + Q in the elliptic curve group using a geometric method (i.e show the curve in the Cartesian plane). (d) Calculate P + Q in...
The solution of the equation [ax? +(+1)y2]dx - xydy=0, where a and b are constant is...
The solution of the equation [ax? +(+1)y2]dx - xydy=0, where a and b are constant is Select one: O O a. ax+(6+1)y2 = c X20 +2 b. (a+b)x2 +by2 = c x26+2 c. by2 = c x2b +2 d. ax? +by2 = c x26+2 O O O en( - ) - - 2bumba) + 6 o f. ax? +by2=C O g. In(ax2 + by2)=2bln(x)+C a info o *) – 2016)
this question is only this The solution of the equation [ax? +(6+1)y2]dx– xydy=0, where a and...
this question is only this
The solution of the equation [ax? +(6+1)y2]dx– xydy=0, where a and b are constant is Select one: a. In(a+b ) = 2bln(x) b. (a+b)x2 + by2 = x26+2 c. ax? +by= c x26+2 O d. by2 = c x26+2 e. ax2 + y2 = 0 - 2bln(x)+c g. ax? +(6+1)y2 = C x26 +2 h. In(ax2 +by?)=2bln(x)+c
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1...
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
14. The Lagrangian for a system can be written as <= ax + b3 + e*j + fy+si+g3 – W/22+y2, where a, b, c, f. 8, and...
14. The Lagrangian for a system can be written as <= ax + b3 + e*j + fy+si+g3 – W/22+y2, where a, b, c, f. 8, and k are constants. What is the Hamiltonian? What quantities are conserved?
Derive The Following Formulas (a) P(Ac)=1−P(A). (b) P(A∪B)=P(A)+P(B)−P(A∩B) (c) P(A ∩ B) = P(A|B)P(B) (d) E(aX...
Derive The Following Formulas (a) P(Ac)=1−P(A). (b) P(A∪B)=P(A)+P(B)−P(A∩B) (c) P(A ∩ B) = P(A|B)P(B) (d) E(aX + b) = aE(X) + b where you will be told whether X is assumed to be discrete or X is assumed to be continuous. (e) Var(X) = E(X2) − μ2 where you will be told whether X is assumed to be discrete or X is assumed to be continuous. (f) Var(aX + b) = a2Var(X)
The solution of the equation [ax? +(6+1)y?]dx - xydy=0, where a and b are constant is...
The solution of the equation [ax? +(6+1)y?]dx - xydy=0, where a and b are constant is Select one: o a. ax2 + by2=C x26 +2 o b. ax2 +(6+1)y2 = c X20 +2 o - - 2bln(x)+c o d. (a+b)x2 +by2 = C x20 +2 O ein(a+b*) - 2 O f. In(ax+by?) = 2bln(x)+c o g. by2 = c x2b +2 h. ax?+by2 = 0
3. Let E be the elliptic curve y2-x3+x 6 over ZI1 1) Find all points on E by calculating the quadratic residues like the one demonstrated in the lecture 2) What is the order of the group? [Do not forget the identity element 0] 3) Given a point P - (2, 7), what is 2P? [point doubling] 4) Given another point Q (3, 6), what is PQ? [point addition]
3. Let E be the elliptic curve y2-x3+x 6 over ZI1...
Given an elliptic curve E mod p, where p is a prime, the number
of points on the curve is denoted as #E. Also, the ECDLP is
expressed as dP = T.
Which of these statements is TRUE? (select all that apply)
Incorrect 0/0.15 pts Question 18 The image below illustrates different elliptic curves. Elliptic curve cryptosystems rely on the hardness of the generalized discrete logarithm problem. ECDLP.png Given an elliptic curve E mod p, where p is a prime,...
Consider the elliptic curve y^2 = x^3 - 10x + 6 over the real numbers. (a) Verify that the points P = (3, -1.732) and Q = (0.562, 0.7467) are actually on the curve. (b) Show that an elliptic curve group can be formed by verifying that 4a^3 + 27b^2 notequalto 0. (c) Calculate P + Q in the elliptic curve group using a geometric method (i.e show the curve in the Cartesian plane). (d) Calculate P + Q in...
The solution of the equation [ax? +(+1)y2]dx - xydy=0, where a and b are constant is Select one: O O a. ax+(6+1)y2 = c X20 +2 b. (a+b)x2 +by2 = c x26+2 c. by2 = c x2b +2 d. ax? +by2 = c x26+2 O O O en( - ) - - 2bumba) + 6 o f. ax? +by2=C O g. In(ax2 + by2)=2bln(x)+C a info o *) – 2016)
this question is only this
The solution of the equation [ax? +(6+1)y2]dx– xydy=0, where a and b are constant is Select one: a. In(a+b ) = 2bln(x) b. (a+b)x2 + by2 = x26+2 c. ax? +by= c x26+2 O d. by2 = c x26+2 e. ax2 + y2 = 0 - 2bln(x)+c g. ax? +(6+1)y2 = C x26 +2 h. In(ax2 +by?)=2bln(x)+c
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
14. The Lagrangian for a system can be written as <= ax + b3 + e*j + fy+si+g3 – W/22+y2, where a, b, c, f. 8, and k are constants. What is the Hamiltonian? What quantities are conserved?
The solution of the equation [ax? +(6+1)y?]dx - xydy=0, where a and b are constant is Select one: o a. ax2 + by2=C x26 +2 o b. ax2 +(6+1)y2 = c X20 +2 o - - 2bln(x)+c o d. (a+b)x2 +by2 = C x20 +2 O ein(a+b*) - 2 O f. In(ax+by?) = 2bln(x)+c o g. by2 = c x2b +2 h. ax?+by2 = 0
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