Computer Security MT24, Elliptic curve cryptography

Created: January 13, 2025 | Read markdown | About these notes | View in context | Study these flashcards |

Course - Computer Security MT24^U
- Notes - Computer Secuirty MT24, Asymmetric key ciphers^U

Flashcards

@Define an elliptic curve.

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An equation of the form

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

What is the basic idea behind elliptic curve cryptography?

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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:

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@example~

Course - Computer Security MT24^U

(outgoing)
Notes - Computer Secuirty MT24, Asymmetric key ciphers^U

(outgoing)
Notes - Computer Security MT24, Cryptographic attack models^U

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Notes - Computer Security MT24, Protocols^U

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Notes - Computer Security MT24, Rabin cryptosystem^U

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Notes - Computer Security MT24, Stream ciphers^U

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