# Curves

## SECG
SEC 2: Recommended Elliptic Curve Domain Parameters version 2.0  January 27, 2010

[Source](http://www.secg.org/sec2-v2.pdf)

## NIST
RECOMMENDED ELLIPTIC CURVES FOR FEDERAL GOVERNMENT USE  July 1999

[Source](http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf)

## x962
ANSI X9.62 example curves.

## Brainpool
ECC Brainpool Standard Curves and Curve Generation v. 1.0  19.10.2005

[Source](http://www.ecc-brainpool.org/download/Domain-parameters.pdf)

## anssi
Agence nationale de la sécurité des systèmes d'information: Publication d'un paramétrage de courbe elliptique visant des applications de passeport électronique et de l'administration électronique française. 21 November 2011

## GOST
GOST R 34.10-2001: RFC5832 curves.

[Source](https://tools.ietf.org/html/rfc5832)

## anomalous
These prime field curves have the same order as the field order, and are susceptible to attacks reducing ECDLP over a multiplicative group of the curve, to DLP over an additive group of the underlying field, which is easy (linear time).

Some of these are from Atsuko Miyaji's [paper](https://dspace.jaist.ac.jp/dspace/bitstream/10119/4464/1/73-61.pdf), others were generated using [ecgen](htps://github.com/J08nY/ecgen).

## invalid
This category contains pre-generated invalid curves for a large subset of NIST, SECG and Brainpool curves. Invalid curves for a given curve, are short Weierstrass curves with all parameters equal to the given curve except the `b` parameter. These curves can be used to [attack some implementations](https://www.nds.rub.de/media/nds/veroeffentlichungen/2015/09/14/main-full.pdf).

Generated using [ecgen](https://github.com/J08nY/ecgen)

## composite
Contains curves of composite order, with small order points.

Generated using [ecgen](https://github.com/J08nY/ecgen)

## wrong
Contains parameters that are not elliptic curves(over Fp and F2m), such as `p` parameter that is not prime, irreducible polynomial that is not irreducible and similar.

Generated manually.