Cryptography Reference
In-Depth Information
Example 4 Suppose in (2; 4)-VCS with basis matrices B
0
and B
1
.
2
3
2
3
1000
1000
1000
1000
1000
0100
0010
0001
4
5
;B
1
=
4
5
:
B
0
=
The distribution phase is shown in Table 6.1 and the reconstruction phase is
shown in Table 6.2 and Table 6.3.
Distribution phase:
TABLE 6.1
Distribution phase of (2; 4)-VCS using Yang et al.'s [25] algorithm.
Pixel
First run
Second run
Third run
Fourth Run
White is
1
= (1000)
s
1
= (0100)
s
1
= (0010)
s
1
= (0001)
White is
2
= (1000)
s
2
= (0100)
s
2
= (0010)
s
2
= (0001)
White is
3
= (1000)
s
3
= (0100)
s
3
= (0010)
s
3
= (0001)
White is
4
= (1000)
s
4
= (0100)
s
4
= (0010)
s
4
= (0001)
s
1
= (1000)
s
1
= (0100)
s
1
= (0010)
s
1
= (0001)
Black
Black
s
2
= (0100)
s
2
= (0010)
s
2
= (0001)
s
2
= (1000)
s
3
= (0010)
s
3
= (0001)
s
3
= (1000)
s
3
= (0100)
Black
s
4
= (0001)
s
4
= (1000)
s
4
= (0100)
s
4
= (0010)
Black
Reconstruction phase
TABLE 6.2
Reconstruction of participant 1 and 2 using Yang et al.'s [25] algorithm.
First run
Second run
Third run
Fourth run
Pixel
U
0
T
1
= s
1
+ s
2
T
2
= s
1
+ s
2
T
3
= s
1
+ s
2
T
4
= s
1
+ s
2
White
(1000)
(0100)
(0010)
(0001)
(0000)
Black
(1100)
(0110)
(0011)
(1001)
(1111)
TABLE 6.3
Reconstruction of participant 3 and 4 using Yang et al.'s [25] algorithm.
First run
Second run
Third run
Fourth run
Pixel
U
0
T
1
= s
3
+ s
4
T
2
= s
3
+ s
4
T
3
= s
3
+ s
4
T
4
= s
3
+ s
4
White
(1000)
(0100)
(0010)
(0001)
(0000)
Black
(0011)
(1001)
(1100)
(0110)
(1111)
We can see that the white pixel is reconstructed as four white subpixels
and the black pixel is reconstructed as four black subpixels.
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