2
Recommended Elliptic Curve Domain Parameters over
F p
Page 9
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
=
00000000
00000000
00000000
00000000
00000000
b
=
00000000
00000000
00000000
00000000
00000007
The base point G in compressed form is:
G
=
02
3B4C382C
E37AA192
A4019E76
3036F4F5
DD4D7EBB
and in uncompressed form is:
G
=
04
3B4C382C
E37AA192
A4019E76
3036F4F5
DD4D7EBB
938CF935
318FDCED
6BC28286
531733C3
F03C4FEE
Finally the order n of G and the cofactor are:
n
=
01
00000000
00000000
0001B8FA
16DFAB9A
CA16B6B3
h
=
01
2.4.2
Recommended Parameters secp160r1
The veriﬁably random elliptic curve domain parameters over
F p secp160r1 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
FFFFFFFF
7FFFFFFF
=
2160
 231
 1
= x3
The curve E: y2
+ax
+b over
F p is deﬁned by:
a
=
FFFFFFFF
FFFFFFFF
FFFFFFFF
FFFFFFFF
7FFFFFFC
b
=
1C97BEFC
54BD7A8B
65ACF89F
81D4D4AD
C565FA45
E was chosen veriﬁably at random as speciﬁed in ANSI X9.62 [1] from the seed:
S
=
1053CDE4
2C14D696
E6768756
1517533B
F3F83345
The base point G in compressed form is:
G
=
02
4A96B568
8EF57328
46646989
68C38BB9
13CBFC82
and in uncompressed form is:
G
=
04
4A96B568
8EF57328
46646989
68C38BB9
13CBFC82
23A62855
3168947D
59DCC912
04235137
7AC5FB32