Cryptography Reference
In-Depth Information
4
2
4
2
z
0
-4
-2
0
0
2
4
- 2
-2
x
y
-4
-4
Figure 3.1.
Ey x x Defi ned over R (3-D View)
1
=+
³ 2
3
2
Δ
=- +
(4
A
27
B
)
(3.22)
3
2
We assume that
A . Therefore the roots must be distinct.
As examples of elliptic curves, Figures 3.1 and 3.2 show
4
27
0
y
²
=+ over real
x
³
2
x
numbers ( R ).
Figures 3.3 and 3.4 show
y
²
=- over real numbers.
x
³
3
x
5
y
4
3
2
1
-5
-4
-3
-2
-1
1
2
3
4
5
x
-1
-2
-3
-4
-5
Figure 3.2.
Ey x x Defi ned over R (2-D Vi ew)
1
³ 2
=+
Search WWH ::




Custom Search