Weighing Matrices
- Weighing Matrices W(2n,9) constructed from two circulant matrices (A,B) with weight (5,4) respectively
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To construct the two circulant matrices needed we give the possitions of the non zero elements of their first rows.
By first sequence we denote the first row of the circulant matrix A.
The first sequence have 5 non zero elements. The element in the first position is -1
where the elements in the other possitions given are 1.
The elements on the positions not given are 0.
By second sequence we denote the first row of the circulant matrix B.
The second sequence have 4 non zero elements. The element in the two first position is 1
where the elements in the other two possitions given are -1.
The elements in the positions not given are 0.
- Weighing Matrices W(2n,9) constructed from two circulant matrices (A,B) with weight (6,3) respectively
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To construct the two circulant matrices needed we give the possitions of the non zero elements of their first rows.
By first sequence we denote the first row of the circulant matrix A.
The first sequence have 6 non zero elements. The elements in the first three position are 1
where the elements in the other three possitions given are 1.
The elements in the positions not given are 0.
By second sequence we denote the first row of the circulant matrix B.
The second sequence have 3 non zero elements. The element in the all possitions given are 1.
The elements in the positions not given are 0.
- Weighing Matrices W(2n,9) constructed from two circulant matrices (A,B) with weight (7,2) respectively
Download zip file (14.2 KB)
To construct the two circulant matrices needed we give the possitions of the non zero elements of their first rows.
By first sequence we denote the first row of the circulant matrix A.
The first sequence have 7 non zero elements. The element in the first two position are -1
where the elements in the other five possitions given are 1.
The elements in the positions not given are 0.
By second sequence we denote the first row of the circulant matrix B.
The second sequence have 2 non zero elements. The element in the first position is 1
where the elements in the other one possitions given are -1.
The elements in the positions not given are 0.
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