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Amber Sprenkels
curve13318-paper
Commits
c8b9ba72
Commit
c8b9ba72
authored
5 years ago
by
Daan Sprenkels
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Fix removed \label{}
parent
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@@ -7,8 +7,8 @@ on the Intel \emph{Sandy Bridge} and \emph{Haswell} microarchitectures,
as well as the ARM
\emph
{
Cortex M4
}
processor.
The high-level structure of the scalar multiplication is shared among all three implementations.
First---before operating on the key
$
k
$
---we validate the input point
$
P
$
.
As mentioned in
\Cref
{
sec:pointvalidation
}
, we
check whether
$
P
$
satisfies
$
y
_
P
^
2
=
x
_
P
^
3
-
3
x
_
P
+
13318
$
.
First---before operating on the key
$
k
$
---we validate the input point
$
P
$
,
by
check
ing
whether
$
P
$
satisfies
$
y
_
P
^
2
=
x
_
P
^
3
-
3
x
_
P
+
13318
$
.
Because we have not defined any encoding for the neutral element
$
\mathcal
{
O
}$
,
this check will implicitly validate that
$
P
\ne
\mathcal
{
O
}$
.
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