Question

What is the general equation for elliptic curve systems?

(a) y^3+b_1 xy+b_2 y=x^33+a_1 x^2+a_2 x+a_3

(b) y^3+b_1 x+b_2 y=x^2+a_1 x^2+a_2 x+a_3

(c) y^2+b_1 xy+b_2 y=x^3+a_1 x^2+a_2

(d) y^2+b_1 xy+b_2 y=x^3+a_1 x^2+a_2 x+a_3

The question was asked in a national level competition.

My enquiry is from Elliptic Curve Arithmetic/Cryptography in division Other Public Key Cryptosystems and Cryptographic Hash Functions of Cryptograph & Network Security

Answer 1

The correct option is (d) y^2+b_1 xy+b_2 y=x^3+a_1 x^2+a_2 x+a_3

To explain: The general equations for an elliptic curve system is y^2+b_1 xy+b_2 y=x^3+a_1 x^2+a_2 x+a_3.