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| − | <div style="font-size:30px">'''MOORE'''</div><br/> | + | <div style="font-size:30px">'''MATRIX("MOORE",order)'''</div><br/> |
| | + | *<math>order</math> is the size of the Moore matrix. |
| | + | |
| | + | ==Description== |
| | + | *This function gives the moore matrix of order 3 with the element 1. |
| | + | *A moore matrix, is a square matrix over a finite field. |
| | + | *When moore matrix is a square matrix, then its deteminant is called a Moore determinant. |
| | + | *But it is unrelated to the Moore determinant of a quaternionic Hermitian matrix. |
| | + | *The Moore matrix has successive powers of the applied to the first column, so it is an mxn matrix of the form: |
| | + | <math>\begin{bmatrix} |
| | + | \alpha_1 & \alpha_1^{q} &\cdots & \alpha_1^{q}^{n-1} \\ |
| | + | \alpha_2 & \alpha_2^{q} &\cdots & \alpha_2^{q}^{n-1} \\ |
| | + | \alpha_3 & \alpha_3^{q} &\cdots & \alpha_3^{q}^{n-1} \\ |
| | + | \vdots & \ddots & \vdots \\ |
| | + | \alpha_m & \alpha_m^{q} &\cdots & \alpha_m^{q}^{n-1} |
| | + | \end{bmatrix} </math> |
| | + | *In calci, MATRIX("moore") is giving the matrixwith the element 1 of order 3. |
| | + | *And MATRIX("moore",4,1..4) is giving Moore matrix starting element 1 to 4 of order 4. |