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</p> Signup and view all the answers

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

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

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

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

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

    <p>Curve without self-intersection</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</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</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</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 }</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</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</p> Signup and view all the answers

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

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

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

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

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