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([14, 24, 25], order=31)

In [3]: b = GF.Random(3); b
Out[3]: GF([21, 26, 24], order=31)

In [4]: np.dot(a, b)
Out[4]: GF(30, order=31)

In [5]: A = GF.Random((3,3)); A
Out[5]: 
GF([[28, 22,  0],
    [11, 26, 29],
    [25,  6, 30]], order=31)

In [6]: B = GF.Random((3,3)); B
Out[6]: 
GF([[21, 25, 16],
    [ 9, 29, 22],
    [11, 18, 24]], order=31)

In [7]: np.dot(A, B)
Out[7]: 
GF([[11,  5,  2],
    [ 9,  1, 18],
    [10,  6, 12]], order=31)