Page 10
GEC 1: Recommended Elliptic Curve Domain Parameters Ver. 0.5
Finally the order n of G and the cofactor are:
n
=
01
00000000
00000000
0001F4C8
F927AED3
CA752257
h
=
01
2.4.3
Recommended Parameters secp160r2
The veriﬁably random elliptic curve domain parameters over
F p secp160r2 are speciﬁed by the sex-
tuple T
=
(p ;a ;b ;G;n ;h ) where the ﬁnite ﬁeld
F p is deﬁned by:
p
=
FFFFFFFF
FFFFFFFF
FFFFFFFF
FFFFFFFE
FFFFAC73
=
2160
 232
 214
 212
 29
 28
 27
 23
 22
 1
= x3
The curve E: y2
+ax
+b over
F p is deﬁned by:
a
=
FFFFFFFF
FFFFFFFF
FFFFFFFF
FFFFFFFE
FFFFAC70
b
=
B4E134D3
FB59EB8B
AB572749
04664D5A
F50388BA
E was chosen veriﬁably at random as speciﬁed in ANSI X9.62 [1] from the seed:
S
=
B99B99B0
99B323E0
2709A4D6
96E67687
56151751
The base point G in compressed form is:
G
=
02
52DCB034
293A117E
1F4FF11B
30F7199D
3144CE6D
and in uncompressed form is:
G
=
04
52DCB034
293A117E
1F4FF11B
30F7199D
3144CE6D
FEAFFEF2
E331F296
E071FA0D
F9982CFE
A7D43F2E
Finally the order n of G and the cofactor are:
n
=
01
00000000
00000000
0000351E
E786A818
F3A1A16B
h
=
01
2.5
Recommended 192-bit Elliptic Curve Domain Parameters over
F p
This section speciﬁes the two recommended 192-bit elliptic curve domain parameters over
F p in this
document: parameters secp192k1 associated with a Koblitz curve, and veriﬁably random parameters
secp192r1.
Section 2.5.1 speciﬁes the elliptic curve domain parameters secp192k1, and Section 2.5.2 speciﬁes the
elliptic curve domain parameters secp192r1.