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than several thousands bits to achieve the code rate very close to channel capacity.
We believe that this is a generic property of key sharing scenarios.
Our contribution is that we put key sharing scenarios towards to practice but it
does not mean that there are no more open problems in this area.
C
k
, R
k
C
k
, R
k
0.3
0.03
C
k
C
k
0.2
0.02
R
k
R
k
0.1
0.01
p
m
=
10
-1
,
p
w
=
10
-1
p
m
=
10
-1
,
p
w
=
10
-2
k
k
1
.
10
4
2
.
10
4
3
.
10
4
5
.
10
5
1
.
10
6
1.5
.
10
6
2
.
10
6
0
0
C
k
, R
k
C
k
, R
k
0.6
C
k
0.06
C
k
0.4
0.04
R
k
R
k
0.2
0.02
p
m
=
10
-2
,
p
w
=
10
-1
p
m
=
10
-2
,
p
w
=
10
-2
k
k
1
.
10
4
1.5
.
10
4
2
.
10
4
0
5·10
3
5
.
10
4
1
.
10
5
1.5
.
10
5
2
.
10
5
0
R
versus the string length
k
for
P
I
Fig. 1.
The key-rate
= 5·10
-5
,
10
-30
and for the
R
0
p
p
error probability in the legal channel
and in the illegal channel
m
w
k
that provide the key-rates close to key-capacities for
Table 1.
The minimum string lengths
different channel states
Channel
states
p
m
= 0.01
p
w
= 0.1
p
m
= 0.01
p
w
= 0.01
p
m
= 0.1
p
w
= 0.01
p
m
= 0.1
p
w
= 0.1
k
0
1.2·10
4
4.5·10
5
2.3·10
6
3.5·10
4
C
k
/R
k
1.22
1.19
1.29
1.27
