# Implementing Automated Market Makers with Constant Circle

arXiv: https://arxiv.org/abs/2103.03699 · HTML: https://mlsanity.com/paper/2103.03699/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 6 references that are in the map.
- First posted on arXiv 5 Mar 2021.

## Builds on (most cited first, 2 of 2)

- [Automated Market Makers for Decentralized Finance (DeFi)](https://mlsanity.com/paper/2009.01676/) (2020)
- [Efficient long division via Montgomery multiply](https://mlsanity.com/paper/1303.0328/) (2013)

## Abstract (arXiv)

This paper describe the implementation details of constant ellipse based automated market makers (CoinSwap). A CoinSwap prototype has been implemented at http://coinswapapp.io/ and the source codes are available at https://github.com/coinswapapp/