Tasks
Standard Array Construction
Standard Array Decoding
Syndrome Decoding
Instructions
Quick theory overview:
In standard array construction, we divide all possible 2
n
vectors into 2
k
disjoint subsets such that there is exactly one codeword in each subset.
For completing the j
th
row, identify a vector of minimum weight that has not appeared in the rows 1 to j-1. This vector is chosen as the coset leader.
The remaining entries in the j
th
row are obtained by adding the coset leader to the codeword corresponding to each column.
Procedure:
Enter the coset leader in the first field and click on
Submit
.
The correctness of the entered coset leader is displayed in
Observations
.
If the answer is correct, the corresponding row in the standard array table gets filled.
Proceed to the next row and repeat the same procedure for the next coset leader.
You can enter the coset leader in a field only if the coset leader in the previous row has been entered correctly.
Once you have entered all the coset leaders correctly, the standard array table will be complete.
Next
- Displays the next example.
Previous
- Displays the previous example.
Reset
- Resets the standard array table.
Enter the coset leaders in the given fields in order to complete the standard array table.
00000
10101
11000
00111
01101
10010
01010
11111
Submit
Submit
Submit
Reset
Next
Observations
000000
011100
101010
110001
110110
101101
011011
000111
Submit
Submit
Submit
Submit
Submit
Submit
Submit
Reset
Previous
Observations