Creates an array over \(\mathrm{GF}(p^m)\) from length-\(m\) vectors over the prime subfield \(\mathrm{GF}(p)\).

This function is the inverse operation of the vector() method.

Parameters¶

array: ArrayLike¶

An array over \(\mathrm{GF}(p)\) with last dimension \(m\). An array with shape (n1, n2, m) has output shape (n1, n2). By convention, the vectors are ordered from degree \(m-1\) to degree 0.

dtype: DTypeLike | None = None¶

The numpy.dtype of the array elements. The default is None which represents the smallest unsigned data type for this FieldArray subclass (the first element in dtypes).

Returns¶

An array over \(\mathrm{GF}(p^m)\).

Examples¶

In [1]: GF = galois.GF(3**3, display="poly")

In [2]: a = GF.Vector([[1, 0, 2], [0, 2, 1]]); a
Out[2]: GF([α^2 + 2,  2α + 1], order=3^3)

In [3]: a.vector()
Out[3]: 
GF([[1, 0, 2],
    [0, 2, 1]], order=3)