Scalar Multiplications in Elliptic Curves Quiz

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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?

Point doubling Signup and view all the answers

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

Point negation Signup and view all the answers

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

Elliptic curve Signup and view all the answers

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

Smaller key size for equal security Signup and view all the answers

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

A neutral element for point addition Signup and view all the answers

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

Curve without self-intersection Signup and view all the answers

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

Elements of the field K Signup and view all the answers

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

Specify the curve and its generator point Signup and view all the answers

How does the Cofactor value affect Elliptic Curve Cryptography operations?

Defines the number of multiples of points used Signup and view all the answers

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

{ p, a, b, G, n, h } Signup and view all the answers

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

A point on the curve that generates a cyclic group Signup and view all the answers

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

The number of points in the generated group by adding G Signup and view all the answers

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

h = 1 Signup and view all the answers

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

They make cryptanalysis easier Signup and view all the answers

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

Multiple addition Signup and view all the answers