February 26, 2002
Practical Aspects of Modern Cryptography
36
Elliptic Groups
n
(x
1
,y
1
)
´
(x
2
,y
2
) = I
n
when x
1
= x
2
but y
1
¹
y
2
or y
1
= y
2
= 0
n
n
(x
1
,y
1
)
´
I =
(x
1
,y
1
) = I
´
(x
1
,y
1
)
n
n
I
´
I = I