Notes - Computer Security MT24, Elliptic curve cryptography


Flashcards

@Define an elliptic curve.


An equation of the form

\[y^2 = x^3 + ax + b\]

What is the basic idea behind elliptic curve cryptography?


Rather than considering the discrete logarithm and factorisation over the integers, instead use an elliptic curve group consisting of solutions to

\[y^2 = x^3 + ax + b \pmod{n}\]

and a corresponding group operation.

Show where the product $p \otimes q$ would be on this diagram:


@example~




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