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| author | J08nY | 2018-01-05 16:18:12 +0100 |
|---|---|---|
| committer | J08nY | 2018-01-05 16:18:12 +0100 |
| commit | e25a6dba2edc3a178aa31fee00326296eacbfcf7 (patch) | |
| tree | 25c4e86d64d39185f8a376978bcf923d3456e903 | |
| parent | 7767c8bec416dc3c28225a5e6b4049849e7ffa54 (diff) | |
| download | ECTester-e25a6dba2edc3a178aa31fee00326296eacbfcf7.tar.gz ECTester-e25a6dba2edc3a178aa31fee00326296eacbfcf7.tar.zst ECTester-e25a6dba2edc3a178aa31fee00326296eacbfcf7.zip | |
Update curve docs.
| -rw-r--r-- | curves.md | 40 |
1 files changed, 36 insertions, 4 deletions
@@ -2,16 +2,48 @@ --- # Curves -## anomalous +## 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). -## NIST +Generated using [ecgen](https://github.com/J08nY/ecgen) -## nonprime +## composite +Contains curves of composite order, with small order points. -## SECG +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.
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