elliptic2

• elliptic2 supports Elliptic curves over binary fields in go

• based on kurtbrose/elliptic.py (fork)

Warning

• Not all curves have been validated.

• elliptic2 uses elliptic.CurveParams for compatibility with crypto/elliptic package.

  • But do not use the functions of elliptic.CurveParams. It will be panic.

• Multiple invocations of this function will return the same value like crypto/elliptic

  • so it can be used for equality checks and switch statements.

LICENSE

• MIT License

Curves

ANSI x9.62

• ANSI x9.62 example curves.

Name	OID	Field Type	Function	Tested	As known
c2pnb176w1		Binary	x962.C2pnb176w1()
c2pnb163v1	1.2.840.10045.3.0.1	Binary	x962.C2pnb163v1()		wtls/wap-wsg-idm-ecid-wtls5
c2pnb163v2		Binary	x962.C2pnb163v2()
c2pnb163v3		Binary	x962.C2pnb163v3()
c2pnb208w1		Binary	x962.C2pnb208w1()
c2tnb191v3		Binary	x962.C2tnb191v3()
c2tnb191v2		Binary	x962.C2tnb191v2()
c2tnb191v1		Binary	x962.C2tnb191v1()
c2tnb239v3		Binary	x962.C2tnb239v3()
c2tnb239v2		Binary	x962.C2tnb239v2()
c2tnb239v1		Binary	x962.C2tnb239v1()
c2pnb272w1		Binary	x962.C2pnb272w1()
c2pnb304w1		Binary	x962.C2pnb304w1()
c2pnb368w1		Binary	x962.C2pnb368w1()
c2tnb359v1		Binary	x962.C2tnb359v1()
c2tnb431r1		Binary	x962.C2tnb431r1()
c2onb191v4		Binary	x962.C2onb191v4()
c2onb191v5		Binary	x962.C2onb191v5()
c2onb239v4		Binary	x962.C2onb239v4()
c2onb239v5		Binary	x962.C2onb239v5()

ANSI X9.63

• ANSI x9.63 example curves.

Name	OID	Field Type	Function	Tested	As known
ansit163k1		Binary	x963.Ansit163k1()
ansit163r1	1.3.132.0.2	Binary	x963.Ansit163r1()		secg/sect163r1
ansit163r2	1.3.132.0.15	Binary	x963.Ansit163r2()		secg/sect163r2, nist/B-163
ansit193r1	1.3.132.0.24	Binary	x963.Ansit193r1()		secg/sect193r1
ansit193r2	1.3.132.0.25	Binary	x963.Ansit193r2()		secg/sect193r2
ansit233k1	1.3.132.0.26	Binary	x963.Ansit233k1()		secg/sect233k1, nist/K-233, wtls/wap-wsg-idm-ecid-wtls10
ansit233r1	1.3.132.0.27	Binary	x963.Ansit233r1()		wtls/wap-wsg-idm-ecid-wtls11, nist/B-233, secg/sect233r1
ansit239k1	1.3.132.0.3	Binary	x963.Ansit239k1()		secg/sect239k1
ansit283k1	1.3.132.0.16	Binary	x963.Ansit283k1()		nist/K-283, secg/sect283k1
ansit283r1	1.3.132.0.17	Binary	x963.Ansit283r1()		nist/B-283, secg/sect283r1
ansit409k1	1.3.132.0.36	Binary	x963.Ansit409k1()		nist/K-409, secg/sect409k1
ansit409r1	1.3.132.0.37	Binary	x963.Ansit409r1()		nist/B-409, secg/sect409r1
ansit571k1	1.3.132.0.38	Binary	x963.Ansit571k1()		nist/K-571, secg/sect571k1
ansit571r1	1.3.132.0.39	Binary	x963.Ansit571r1()		nist/B-571, secg/sect571r1

NIST

• RECOMMENDED ELLIPTIC CURVES FOR FEDERAL GOVERNMENT USE July 1999

Name	OID	Field Type	Function	Tested	As known
K-163	1.3.132.0.1	Binary	nist.K163()		secg/sect163k1
B-163	1.3.132.0.15	Binary	nist.B163()		secg/sect163r2, x963/ansit163r2
K-233	1.3.132.0.26	Binary	nist.K233()		secg/sect233k1, wtls/wap-wsg-idm-ecid-wtls10, x963/ansit233k1
B-233	1.3.132.0.27	Binary	nist.B233()		secg/sect233r1, wtls/wap-wsg-idm-ecid-wtls11, x963/ansit233r1
K-283	1.3.132.0.16	Binary	nist.K283()		secg/sect283k1, x963/ansit283k1
B-283	1.3.132.0.17	Binary	nist.B283()		secg/sect283r1, x963/ansit283r1
K-409	1.3.132.0.36	Binary	nist.K409()		secg/sect409k1, x963/ansit409k1
B-409	1.3.132.0.37	Binary	nist.B409()		secg/sect409r1, x963/ansit409r1
K-571	1.3.132.0.38	Binary	nist.K571()		secg/sect571k1, x963/ansit571k1
B-571	1.3.132.0.39	Binary	nist.B571()		secg/sect571r1, x963/ansit571r1

SECG

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

Name	OID	Field Type	Function	Tested	As known
sect113r1	1.3.132.0.4	Binary	secg.Sect113r1()		wtls/wap-wsg-idm-ecid-wtls4
sect113r2		Binary	secg.Sect113r2()
sect131r1		Binary	secg.Sect131r1()
sect131r2		Binary	secg.Sect131r2()
sect163k1	1.3.132.0.1	Binary	secg.Sect163k1()		nist/K-163, x963/ansit163k1, wtls/wap-wsg-idm-ecid-wtls3
sect163r1	1.3.132.0.2	Binary	secg.Sect163r1()		x963/ansit163r1
sect163r2	1.3.132.0.15	Binary	secg.Sect163r2()		nist/B-163, x963/ansit163r2
sect193r1	1.3.132.0.24	Binary	secg.Sect193r1()		x963/ansit193r1
sect193r2	1.3.132.0.25	Binary	secg.Sect193r2()		x963/ansit193r2
sect233k1	1.3.132.0.26	Binary	secg.Sect233k1()		nist/K-233, wtls/wap-wsg-idm-ecid-wtls10, x963/ansit233k1
sect233r1	1.3.132.0.27	Binary	secg.Sect233r1()		nist/B-233, wtls/wap-wsg-idm-ecid-wtls11, x963/ansit233r1
sect239k1	1.3.132.0.3	Binary	secg.Sect239k1()		x963/ansit239k1
sect283k1	1.3.132.0.16	Binary	secg.Sect283k1()		nist/K-283, x963/ansit283k1
sect283r1	1.3.132.0.17	Binary	secg.Sect283r1()		nist/B-283, x963/ansit283r1
sect409k1	1.3.132.0.36	Binary	secg.Sect409k1()		nist/K-409, x963/ansit409k1
sect409r1	1.3.132.0.37	Binary	secg.Sect409r1()		nist/B-409, x963/ansit409r1
sect571k1	1.3.132.0.38	Binary	secg.Sect571k1()		nist/K-571, x963/ansit571k1
sect571r1	1.3.132.0.39	Binary	secg.Sect571r1()		nist/B-571, x963/ansit571r1

WTLS

• Wireless Application Protocol - Wireless Transport Layer Security (WAP-WTLS) curves: https://www.wapforum.org/tech/documents/WAP-199-WTLS-20000218-a.pdf

Name	OID	Field Type	Function	Tested	As known
wap-wsg-idm-ecid-wtls1		Binary	wtls.WapWsgIdmEcidWtls1()
wap-wsg-idm-ecid-wtls3	2.23.43.1.4.3	Binary	wtls.WapWsgIdmEcidWtls3()		nist/K-163, secg/sect163k1, x963/ansit163k1
wap-wsg-idm-ecid-wtls4	2.23.43.1.4.4	Binary	wtls.WapWsgIdmEcidWtls4()		secg/sect113r1
wap-wsg-idm-ecid-wtls5	2.23.43.1.4.5	Binary	wtls.WapWsgIdmEcidWtls5()		x962/c2pnb163v1
wap-wsg-idm-ecid-wtls10	2.23.43.1.4.10	Binary	wtls.WapWsgIdmEcidWtls10()		secg/sect233k1, nist/K-233, x963/ansit233k1
wap-wsg-idm-ecid-wtls11	2.23.43.1.4.11	Binary	wtls.WapWsgIdmEcidWtls11()		secg/sect233r1, nist/B-233, x963/ansit233r1