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GEC 1: Recommended Elliptic Curve Domain Parameters Ver. 0.5
and in uncompressed form is:
G
=
04
188DA80E
B03090F6
7CBF20EB
43A18800
F4FF0AFD
82FF1012
07192B95
FFC8DA78
631011ED
6B24CDD5
73F977A1
1E794811
Finally the order n of G and the cofactor are:
n
=
FFFFFFFF
FFFFFFFF
FFFFFFFF
99DEF836
146BC9B1
B4D22831
h
=
01
2.6
Recommended 224-bit Elliptic Curve Domain Parameters over
F p
This section speciﬁes the two recommended 224-bit elliptic curve domain parameters over
F p in this
document: parameters secp224k1 associated with a Koblitz curve, and veriﬁably random parameters
secp224r1.
Section 2.6.1 speciﬁes the elliptic curve domain parameters secp224k1, and Section 2.6.2 speciﬁes the
elliptic curve domain parameters secp224r1.
2.6.1
Recommended Parameters secp224k1
The elliptic curve domain parameters over
F p associated with a Koblitz curve secp224k1 are speciﬁed
by the sextuple T
=
(p ;a ;b ;G;n ;h ) where the ﬁnite ﬁeld
F p is deﬁned by:
p
=
FFFFFFFF
FFFFFFFF
FFFFFFFF
FFFFFFFF
FFFFFFFF
FFFFFFFE
FFFFE56D
=
2224
 232
 212
 211
 29
 27
 24
 2
 1
= x3
The curve E: y2
+ax
+b over
F p is deﬁned by:
a
=
00000000
00000000
00000000
00000000
00000000
00000000
00000000
b
=
00000000
00000000
00000000
00000000
00000000
00000000
00000005
The base point G in compressed form is:
G
=
03
A1455B33
4DF099DF
30FC28A1
69A467E9
E47075A9
0F7E650E
B6B7A45C
and in uncompressed form is:
G
=
04
A1455B33
4DF099DF
30FC28A1
69A467E9
E47075A9
0F7E650E
B6B7A45C
7E089FED
7FBA3442
82CAFBD6
F7E319F7
C0B0BD59
E2CA4BDB
556D61A5
Finally the order n of G and the cofactor are: