Otvet:
Vector iz usloviya:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Kodovoe slovo:
1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1
Vector oshibki:
19e


Reshenie:
Case # 1 :
Matrix with swapped columns:
1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1
0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1
0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0
0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1
0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 0
0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1
0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0
0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1
0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0
0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1
0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1
0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0
0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1
0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 0
0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1
0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0
0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1
0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0
0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1

Vector of information <sovokupnost'>:
1 1 1 0 0 1 1 0 1 0 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0
The errors positions and total number of errors:
dglmn 5


Case # 2 :
Matrix with swapped columns:
1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0
0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0
0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 0
0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0
0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0
0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0
0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0
0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0
0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0
0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0
0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1
0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0
0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1
0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1
0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1
0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0
0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0
0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1
0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1
0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0
0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1

Vector of information <sovokupnost'>:
1 1 1 0 1 1 0 0 1 0 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0 1 1
The errors positions and total number of errors:
689bijk 7


Case # 3 :
Matrix with swapped columns:
1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1
0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0
0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1
0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0
0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0
0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1
0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1
0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1
0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1
0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0
0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1
0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0

Final form (Matrix in canon form and columns swapped back):
1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0
0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0
0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1
0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1
0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0
0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1
0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0
0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1
0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0
0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1
0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1
0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1

Vector of information <sovokupnost'>:
1 1 1 1 0 0 0 1 1 1 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1
The errors positions and total number of errors:
45afg 5


Case # 4 :
Matrix with swapped columns:
1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0
0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0
0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0
0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0
0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0
0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0
0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0
0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0
0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1
0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0
0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0
0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0
0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0
0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1
0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0
0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0
0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0
0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0
0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0

Vector of information <sovokupnost'>:
1 1 1 0 1 1 1 0 0 0 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1
The errors positions and total number of errors:
789acefgh 9


Case # 5 :
Matrix with swapped columns:
1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0
0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0
0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0
0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1
0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0
0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0
0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0
0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0
0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0
0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0
0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0
0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0
0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0
0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0
0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0
0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0
0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1
0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0
0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0

Vector of information <sovokupnost'>:
1 1 1 0 0 1 0 1 1 0 1 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1
The errors positions and total number of errors:
378gj 5


Case # 6 :
Matrix with swapped columns:
1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0
0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0
0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1
0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1
0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0
0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1
0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0
0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1
0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0
0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1
0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1
0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1
0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0
0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1
0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0
0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0
0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1
0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1
0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1
0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 1
0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0
0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1
0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0

Vector of information <sovokupnost'>:
1 1 1 0 0 1 0 0 1 1 0 0
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0
The errors positions and total number of errors:
456celn 7


Case # 7 :
Matrix with swapped columns:
1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0
0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1
0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0
0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1
0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1
0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1
0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0
0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0
0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1
0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1
0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0
0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0
0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0
0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 0
0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0
0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0
0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0
0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0
0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0
0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0
0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1

Vector of information <sovokupnost'>:
1 1 1 1 0 1 0 0 1 0 1 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 1
The errors positions and total number of errors:
4cdjk 5


Case # 8 :
Matrix with swapped columns:
1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0
1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0
1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0
1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0
0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0
1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0
1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0
1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0
1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0
0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0
1 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1

Vector of information <sovokupnost'>:
0 1 1 0 0 1 1 0 0 0 1 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 0 0 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 1
The errors positions and total number of errors:
12357ab 7


Case # 9 :
Matrix with swapped columns:
1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1
1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0
0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1
0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0
0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0
1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1
1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1
0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1
0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1
1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0
1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1
1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0

Final form (Matrix in canon form and columns swapped back):
1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0
0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0
1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0
1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0
1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0
1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0
0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1
0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0
1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0

Vector of information <sovokupnost'>:
1 0 0 1 0 1 0 1 1 0 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1
The errors positions and total number of errors:
12345cdef 9


Case # 10 :
Matrix with swapped columns:
0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0
0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0
1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0
1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0
0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0
1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0
1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0
1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1
1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0
0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0
0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0
0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0
0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1
1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0
1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0
1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0
1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0
1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0
0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0
0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0
0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0
1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0

Vector of information <sovokupnost'>:
0 1 1 0 0 1 0 0 1 0 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1
The errors positions and total number of errors:
0678cek 7


Case # 11 :
Matrix with swapped columns:
0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0
0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0
0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0
0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0
0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1
0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0
0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0
0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0
1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0
0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0
0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1
0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0
0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1
1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0
1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1
1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1
0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1
0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0
0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1
1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0

Vector of information <sovokupnost'>:
0 0 1 0 1 1 0 0 1 1 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1
The errors positions and total number of errors:
1245klm 7


Case # 12 :
Matrix with swapped columns:
1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0
1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1
1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1
0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0
0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1
0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0
0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1
1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0
1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1
0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0
0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1
0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0
1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1
1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1
1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0
1 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0
0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1
0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1
0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0
1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1

Vector of information <sovokupnost'>:
0 0 1 1 0 0 1 0 1 0 0 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1
The errors positions and total number of errors:
19e 3


Case # 13 :
Matrix with swapped columns:
0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0
0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1
0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0
0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1
0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1
0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1
1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0
0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0
0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1
0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 1
0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0
0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0
0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0
0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0
1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0
1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0
1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1
1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0
1 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0
0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0
0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0
0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0

Vector of information <sovokupnost'>:
1 0 1 0 1 1 0 0 1 0 1 1
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1
The errors positions and total number of errors:
02bgk 5


Case # 14 :
Matrix with swapped columns:
0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1
0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1
0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1
1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0
0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1
0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0
0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1
0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0
0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1
0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0
0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0
0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1

Final form (Matrix in canon form and columns swapped back):
1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1
0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1
0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1
1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0
1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1
1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0
1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1
1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0
0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1
0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0
0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0
1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1

Vector of information <sovokupnost'>:
0 0 1 0 0 1 0 1 1 1 0 0
The input vector:
1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1
Decoded vector for this case:
0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0
The errors positions and total number of errors:
01278mn 7