# Connecting Elliptic Curves with Finite Fields

DevFeed: [Connecting Elliptic Curves with Finite Fields](<https://devfeed.tech/articles/connecting-elliptic-curves-with-finite-fields-40352.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2014/03/19/connecting-elliptic-curves-with-finite-fields-a-reprise/>)

Published: 2014-03-19T10:00:05Z

Content type: tutorial

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Mathematics](<https://devfeed.tech/topics/mathematics.md>), [Algorithm](<https://devfeed.tech/topics/algorithm.md>), [Code](<https://devfeed.tech/topics/code.md>)

Tags: [algorithm](<https://devfeed.tech/tags/algorithm.md>), [arithmetic](<https://devfeed.tech/tags/arithmetic.md>), [code](<https://devfeed.tech/tags/code.md>), [elliptic-curves](<https://devfeed.tech/tags/elliptic-curves.md>), [fields](<https://devfeed.tech/tags/fields.md>), [finite-fields](<https://devfeed.tech/tags/finite-fields.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>)

## AI overview

A tutorial connecting elliptic-curve arithmetic over rational numbers with finite-field arithmetic. It combines previously developed programs and discusses the mathematical background, point addition, finite-field representations, and subtle limitations when applying the code across finite fields.

## Source excerpt

So here we are. We've studied the general properties of elliptic curves, written a program for elliptic curve arithmetic over the rational numbers, and taken a long detour to get some familiarity with finite fields (the mathematical background and a program that implements arbitrary finite field arithmetic). And now we want to get back on track and hook our elliptic curve program up with our finite field program to make everything work.