np.dot

np.dot(a, b)

Returns the dot product of two Galois field arrays.

References

• https://numpy.org/doc/stable/reference/generated/numpy.dot.html

Examples

In [1]: GF = galois.GF(31)

In [2]: a = GF.Random(3); a
Out[2]: GF([24, 23, 12], order=31)

In [3]: b = GF.Random(3); b
Out[3]: GF([ 4,  9, 22], order=31)

In [4]: np.dot(a, b)
Out[4]: GF(9, order=31)

In [5]: A = GF.Random((3,3)); A
Out[5]: 
GF([[17, 28, 26],
    [15, 11, 13],
    [19, 20,  9]], order=31)

In [6]: B = GF.Random((3,3)); B
Out[6]: 
GF([[ 0, 16,  7],
    [19, 19, 18],
    [15, 20, 21]], order=31)

In [7]: np.dot(A, B)
Out[7]: 
GF([[23, 22, 22],
    [ 1, 27, 18],
    [19, 27,  0]], order=31)