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datovky
ds2-notes
Commits
7d2c9375
Commit
7d2c9375
authored
Sep 09, 2021
by
Ondřej Mička
Browse files
Succinct: typos
parent
d003e0a3
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7d2c9375
...
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@@ -240,7 +240,8 @@ with the property that when $(m,s) = f(x,y)$, $s$ depends only on $x$. This is t
that allows local decoding and modification because carry does not cascade.
Internally, the a mixer is
always implemented as a composition of two mappings,
$
f
_
1
$
that transforms
$
x
\rightarrow
(
c,s
)
$
and
$
f
2
$
always implemented as a composition of two mappings,
$
f
_
1
$
that transforms
$
x
\rightarrow
(
c,s
)
$
and
$
f
_
2
$
that transforms
$
(
y,c
)
\rightarrow
m
$
. See fig.
\figref
{
mixer
}
. Both
$
f
_
1
$
and
$
f
_
2
$
must be injective
so that the encoding is reversible.
...
...
@@ -385,7 +386,7 @@ of all the mixer parameters -- i.e., a table with $\Theta(n/\log_\Sigma n)$ rows
That is impractical.
Note that this was not an issue for sole as there the
$
Y
_
i
$
's formed an arithmetic
sequence. The weren't even the optimal
$
Y
_
i
$
's that would be created by the generic
sequence. The
y
weren't even the optimal
$
Y
_
i
$
's that would be created by the generic
mixer construction but a close enough approximation that still yielded good results,
up to an additive constant. That was a special case -- in general, we do now know
how to approximate the mixer parameters by something easier to compute locally.
...
...
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