Tag: fields

Elliptic curves over finite fields

Written by Dominik Joe Pantůček on 2018-03-01

After a quick introduction to simple elliptic curves used in cryptography and finally for securing our online communication, we cannot move forward without solving one major problem. How to represent these curves, and all of their points thereof, in computer memory. Why this is a major problem? There is an infinite number of real numbers, but computers can store only a finitely-sized things - including numbers. I'd like to explain how we can overcome this inherent trouble and show you that anyone can understand these modern cryptographic fundamentals.

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