Scalar Multiplications in Elliptic Curves Quiz
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Questions and Answers

What type of equations do prime curves over Zp use in elliptic curve cryptography?

  • Exponential equations
  • Linear equations
  • Quadratic equations
  • Cubic equations (correct)

Which set of values do the variables and coefficients take on in prime curves over Zp?

  • Values from 0 to p-1 (correct)
  • Values from 1 to p
  • Values from 0 to p
  • Values from 0 to p+1

What operation is performed when adding two points on an elliptic curve?

  • Addition (correct)
  • Multiplication
  • Division
  • Subtraction

What does P + P = R = 2P represent in elliptic curve cryptography?

<p>Point doubling (B)</p> Signup and view all the answers

Which of the following is NOT a valid operation in elliptic curve cryptography?

<p>Point negation (A)</p> Signup and view all the answers

What is the set of points that satisfy an equation in an elliptic curve known as?

<p>Elliptic curve (D)</p> Signup and view all the answers

What is the principal attraction of Elliptic Curve Cryptography (ECC)?

<p>Smaller key size for equal security (B)</p> Signup and view all the answers

In Elliptic Curve Cryptography, what does the 'Point O at infinity' represent?

<p>A neutral element for point addition (D)</p> Signup and view all the answers

What does the term 'non-Singular curve' refer to in Elliptic Curves?

<p>Curve without self-intersection (B)</p> Signup and view all the answers

What do the elements 'a' and 'b' represent in the equation of an Elliptic Curve?

<p>Elements of the field K (A)</p> Signup and view all the answers

What is the purpose of Domain Parameters in Elliptic Curve Cryptography?

<p>Specify the curve and its generator point (D)</p> Signup and view all the answers

How does the Cofactor value affect Elliptic Curve Cryptography operations?

<p>Defines the number of multiples of points used (A)</p> Signup and view all the answers

What are the domain parameters of Elliptic Curves typically denoted by?

<p>{ p, a, b, G, n, h } (A)</p> Signup and view all the answers

What does the Generator Point (G) represent in Elliptic Curves?

<p>A point on the curve that generates a cyclic group (D)</p> Signup and view all the answers

What does 'n = ord(G)' represent in Elliptic Curves?

<p>The number of points in the generated group by adding G (A)</p> Signup and view all the answers

What is the ideal value for the cofactor 'h' in Elliptic Curves?

<p>h = 1 (B)</p> Signup and view all the answers

Why are cofactor values greater than 4 considered undesirable in Elliptic Curve Cryptography?

<p>They make cryptanalysis easier (B)</p> Signup and view all the answers

What is the counterpart operation to modular multiplication in RSA within Elliptic Curve Cryptography?

<p>Multiple addition (B)</p> Signup and view all the answers

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